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True Prime Pairs
sort span spin
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14

💎 🚀 🔨 📂
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partition
intro

# Partition function

Based on the finiteness position of middle zero axis = 15 we have defined our 19 vs 18 Scenario contained in three (3) groups of five (5) of integer number partitions. Each groups represents the three (3) basic arithmetic operations of Euler's identity.

Euler's identity is often cited as an example of deep mathematical beauty. Three (3) of the basic arithmetic operations occur exactly once each: addition, multiplication, and exponentiation (Wikipedia).

``````---+-----+-----
1 | 1   | 5    🡰--19--
---+-----+-----        |
2 | 6   | 8           |
---+-----+-----        |
3 | 9   | 26    --289-¤-exponentiation zone
---+-----+-----        |
4 | 27  | 28          |
---+-----+-----        |
5 | 29  | 29   ➤--18--
---+-----+-----
6 | 30  | 31   🡰--18--
---+-----+-----        |
7 | 32  | 44          |
---+-----+-----        |
8 | 45  | 46    --329-¤-multiplication zone
---+-----+-----        |
9 | 47  | 49          |
---+-----+-----        |
10 | 50  | 50   ➤--17--
---+-----+-----
11 | 51  | 53   🡰--17--
---+-----+-----        |
12 | 54  | 59          |
---+-----+-----        |
13 | 60  | 82    --168-¤-addition zone
---+-----+-----        |
14 | 83  |{102}        |
---+-----+-----        |
15 |{103}| 110  ➤--16--
---+-----+-----
``````

The five (5) of integer number partitions shows a profound connection between the most fundamental numbers in mathematics as it also links the five (5) fundamental mathematical constants:

(1) The number 1, the multiplicative identity,
(2) The number i, the imaginary unit of the complex numbers.

(3) The number π = 3.1415..., the fundamental circle constant, and

(4) The number e = 2.718..., also known as Euler's number, which occurs widely in mathematical analysis.

(5) Furthermore, the equation is given in the form of an expression set equal to zero, the number 0, as the additive identity which is common practice in several areas of mathematics.

Euler's identity is a special case of Euler's formula eix = cos x + i sin x when evaluated for x = π, In addition, it is directly used in a proof that π is transcendental, which implies the impossibility of squaring the circle. (Wikipedia)

It is stated by DE102011101032A9 that using Euler's identity, the MEC30 standard is more accurately than a measurement. The distribution of prime numbers is a central point of study in number theory. So let's start from there.

## Rational Objects

In number theory, the partition functionp(n) represents the number of possible partitions of a non-negative integer n. Integers can be considered either in themselves or as solutions to equations (Diophantine geometry).

The central problem is to determine when a Diophantine equation has solutions, and if it does, how many. Two examples of an elliptic curve, that is, a curve of genus 1 having at least one rational point. Either graph can be seen as a slice of a torus in four-dimensional space (Wikipedia).

One of the main reason is that one does not yet have a mathematically complete example of a quantum gauge theory in four-dimensional space-time. It is even a sign that Einstein’s equations on the energy of empty space are somehow incomplete.

Throughout his life, Einstein published hundreds of books and articles. He published more than 300 scientific papers and 150 non-scientific ones. On 5 December 2014, universities and archives announced the release of Einstein's papers, comprising more than 30,000 unique documents (Wikipedia).

Dyson introduced the concept in the context of a study of certain congruence properties of the partition function discovered by the mathematician Srinivasa Ramanujan who the one that found the interesting behaviour of the taxicab number 1729.

In number theory and combinatorics, rank of a partition of a positive integer is a certain integer associated with the partition meanwhile the crank of a partition of an integer is a certain integer associated with that partition (Wikipedia).

Young tableaux were introduced by Alfred Young, a mathematician at Cambridge University, in 1900. They were then applied to the study of the symmetric group. Their theory was further developed by many mathematicians, including W. V. D. Hodge

### The rank of a partition

By our project, this partition stands as the prime identity. The tabulation below shows the 2nd prime identity where the 20 out of the largest part = 21 goes to rank = 10 via crank = 20-11 = 9. These 10 and 9 are associated with the 19th prime identitity.

``````           largest part = 21 → 11+13+12 = 36  →  MEC30
↓                      |
---+-----+-----+-----+-----+                   ↓
1 | 19  | 1   | 20  | 21  |-------------------|-----
---+-----+-----+-----+-----+                   ↓     |
2 | 18  | 21  | 39  | 60  |-------------------      |
---+-----+-----+-----+-----+                   |     |
3 |{63} | 40  | 103 | 143 |-------------      |     |
---+-----+-----+-----+-----+             |     |     |
4 | 37  | 104 | 141 | 245 |-------      |     |     |
---+-----+-----+-----+-----+       |     |     |     |
5 | 10* | 142 | 152 | 294 |- 11** | 13  | 12  | 12  | 18
---+-----+-----+-----+-----+       |     |     |     |
6 | 24  | 153 | 177 | 332 |-------      |     |     |
---+-----+-----+-----+-----+             |     |     |
7 | 75  | 178 | 253 | 431 |-------------      |     |
---+-----+-----+-----+-----+                   |     |
8 | 30  | 254 | 284 | 538 |-------------------      |
---+-----+-----+-----+-----+                   ↓     |
9 | 1   | 285 | 286 | 571 |-------------------|-----
===+=====+=====+=====+=====+                   ↓
45 | 277 |                      ← 11+13+12=36 ←  MEC30
---+-----+                                     |
↑
Note:
10* stands as the central rank
11** stands as the central parts
``````

By having a total of 571, the congruence properties is composed in to the last of 20/10 = 2 numbers of 285 and 286 throughout the cumulative sum of 45 objects that are forming the 10x11=110 objects of 18th prime identity.

(71+6) + (43-6) = 77 + 37 = 11x7 + 30+13-6

This scheme of 19 vs 18 stands as our 19 vs 18 Scenario while the tensor of 110 objects are obtained by observing centralizing the first 20 to 10 objects from polarizing of 2x11x13=286 objects out of the central pair 11 and 13 within True Prime Pairs.

### The crank of a partition

In linear algebra, this tensor is known as eigenvector, a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it. The corresponding eigenvalues is the factor by which the eigenvector is scaled.

In this shear mapping the red arrow changes direction, but the blue arrow does not. The blue arrow is an eigenvector of this shear mapping because it does not change direction, and since its length is unchanged, its eigenvalue is 1 (Wikipedia).

Dyson discovered that the eigenvalue of these matrices are spaced apart in exactly the same manner as Montgomery conjecture of the nontrivial zeros of the zeta function. Means it also depends on Riemann hypotesis which is still in a major issue. Similar case left science today many unsolved problems that associated with.

The rank cannot be used to prove the theorem combinatorially, Dayson wrote an arithmetical coefficient similar to, but more recondite than, the rank of a partition; and called this hypothetical coefficient as the "crank" of the partition.

The values p(1),,,,,,p(8)} of the partition function (1, 2, 3, 5, 7, 11, 15, and 22) can be determined by counting the Young diagrams for the partitions of the numbers from 1 to 8 (Wikipedia).

Since 286 has the prime factors of 11 and 13 so it is also the product of the middle two numbers of True Prime Pairs. Therefore, the eigenvalue of the 11 parts also determines the equal size rotation of crank partitions of 13 prime identity.

``````\$True Prime Pairs:
(5,7), (11,13), (17,19)

layer | node | sub |  i  |  f
------+------+-----+----------
|      |     |  1  |     ◄-----------------------------
|      |  1  +-----+                                   |
|  1   |     |  2  | (5)                               |
|      |-----+-----+                                   |
|      |     |  3  |                                   |
1   +------+  2  +-----+----                               |
|      |     |  4  |                                   |
|      +-----+-----+                                   |
|  2   |     |  5  | (7)                               |
|      |  3  +-----+                                   |
|      |     |  6  |                                   |
------+------+-----+-----+------                             |
|      |     |  7  |                                   |
|      |  4  +-----+
|  3   |     |  8  | (11) ◄-- 11 parts of rank 10 = 110
|      +-----+-----+
|      |     |  9  |                                   |
2   +------|  5  +-----+-----                              |
|      |     |  10 |                                   |
|      |-----+-----+                                   |
|  4   |     |  11 | (13) ◄----------------------------
|      |  6  +-----+
|      |     |  12 |
------+------+-----+-----+-------------------- (36)
|      |     |  13 |
|      |  7  +-----+
|  5   |     |  14 | (17) ◄----------------------------
|      |-----+-----+                                   |
|      |     |  15 | 0 axis ◄-- partitions of the (13) ◄-- rotation
3   +------+  8  +-----+-----                              |
|      |     |  16 |      ◄----------------------------
|      |-----+-----+
|  6   |     |  17 | (19)
|      |  9  +-----+
|      |     |  18 |
------|------|-----+-----+-------------------- (72)
``````

Unfortunately the rotation of this eigenvalues deals with four-dimensional space-time which was already a big issue. Speculation is that the unfinished book of Ramanujan's partition, series of Dyson's solutions and hugh of Einstein's papers tend to solve it.

On the other hand, one does not yet have a mathematically complete example of a quantum gauge theory in 4D Space vs Time, nor even a precise definition of quantum gauge theory in four dimensions. Will this change in the 21st century? We hope so! (Clay Institute's - Official problem description).

More generally, the central problem is to determine when an equation in n-dimensional space has solutions. However at this point, we finaly found that the prime distribution has something to do with the subclasses of rank and crank partitions.

## The subclasses of each partitions

Dayson introduced the idea of rank of a partition to accomplish the task he set for himself. He made the following conjectures which were proved in 1954 by Peter Swinnerton-Dyer an English mathematician specialising in number theory.

Dayson's friend the neurologist and author Oliver Sacks said: "A favourite word of Freeman's about doing science and being creative is the word subversive (tending or intending to subvert or overthrow, destroy, or undermine an established or existing system, especially a legally constituted or a set of beliefs), and he's done that all his life (Wikipedia).

``````N(0, 5, 5n + 4) = N(1, 5, 5n + 4) = N(2, 5, 5n + 4) = N(3, 5, 5n + 4) = N(4, 5, 5n + 4)
N(0, 7, 7n + 5) = N(1, 7, 7n + 5) = N(2, 7, 7n + 5) = . . . = N(6, 7, 7n + 5)
``````

The concepts of rank and crank can both be used to classify partitions of certain integers into subclasses of equal size. The two concepts produce different subclasses of partitions. This is illustrated in the following two tables.

Although not in the form that Dayson have defined, it was found that the last problem on which Ramanujan worked on before his death was cranks. Berndt and his coauthors have given substantial evidence that Ramanujan knew about the function (Wikipedia).

The subclasses of partitions develops characters similar to the distribution of prime numbers. This results in a fundamental causal relation to the primes, systemically the products are entered into the position system.

The approach taken is to think of the solutions of an equation as a geometric object. For example, an equation in two variables defines a curve in the plane. More generally, an equation, or system of equations, in two or more variables defines a curve, a surface or some other such object in n-dimensional space (Wikipedia).

Dyson has many series of formal solution. An explicitly time-dependent Schrödinger equation by iteration, and the time-ordering operator {T} as entity of basic importance of quantum mechanics, are also named after Dyson .

### Relation to the primes

The Ulam spiral or prime spiral is a graphical depiction of the set of prime numbers, devised by mathematician Stanisław Ulam in 1963 and popularized in Martin Gardner's Mathematical Games column in Scientific American a short time later.

Both Ulam and Gardner noted that the existence of such prominent lines is not unexpected, as lines in the spiral correspond to quadratic polynomials, and certain such polynomials, such as Euler's prime-generating polynomial x²-x+41, are believed to produce a high density of prime numbers. Nevertheless, the Ulam spiral is connected with major unsolved problems in number theory such as Landau's problems (Wikipedia).

According to the results of Princeton University USA in 1972, the distribution of the prime numbers shows in the Riemann zeta function between the position of its complex zeros and middle axis is identical with the rotation curve of energy distribution.

37 + 12 = 61 - 12 = 49 = 7 x 7 = d(13)

In the second opposing member, the position 19 in the second term gives a redundant value of the template 7 of 7 × 7 = 49. The opposite prime position 11 as a prime number is now forced to determine a new axis-symmetrical zero position.

Note that when 77 contains 'Lucky 7 and 11' as prime factors it is also the product of the middle two numbers of this sequence (11*7 = 77) (Prime Curios!).

When the subclasses of partitions are flatten out into a matrix, you want to take the Jacobian of each of a stack of targets with respect to a stack of sources, where the Jacobians for each target-source pair are independent .

It's possible to build a Hessian matrix for a Newton's method step using the Jacobian method. You would first flatten out its axes into a matrix, and flatten out the gradient into a vector (Tensorflow).

This idea was done as the earliest in 1960s by Swinnerton-Dyer using the University of Cambridge Computer Laboratory to get the number of points modulo p (denoted by Np) for a large number of primes p on elliptic curves whose rank was known.

From these numerical results the conjecture predicts that the data should form a line of slope equal to the rank of the curve, which is 1 in this case drawn in red in red on the graph (Wikipedia).

It is stated that Np for a curve E with rank r obeys an asymptotic law and is still remain unsolved. Thus it would mean that using Euler's identity to get a definite pattern of prime distribution is still a long way to go.

💎 🚀 🔨 📂
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irrational
intro

# Irrational Partitions

This section is discussing the 200 residual objects that goes irrational along the pattern within the 4th dimension from the 2nd to 3rd prime identity in regards to the three (3) zones where each represents the basic arithmetic operations of Euler's identity.

``````---+-----+-----
1 | {1} | {9}
---+-----+-----
2 | 10  |{32}
---+-----+-----
3 | 33  | 63
---+-----+-----
4 |{64} | 101
---+-----+-----
5 |{102}| 120
---+-----+-----
6 | 121 |{189}
---+-----+-----
7 | 190 |{200}
---+-----+-----
``````

There are some mathematical shape of this residual objects. Torus is basically a donut shape, which has the property of of having variable Gaussian curvature. Some parts of the surface has positive curvature, others zero, others negative.

The blue parts of the torus above have positive curvature, the red parts negative and the top grey band has zero curvature. If our 3 dimensional space was like the surface areas of a 4 dimensional torus, the parts would have different angle sums.

These are two more bizarre shapes with strange properties. Mobius strip only has one side, if you start anywhere on its surface and follow the curvature round you will eventually return to the same place having travelled on every part of the surface.

The Klein bottle is in someways a 3D version of the Mobius strip and even though it exists in 3 dimensions, to make a true one you need to “fold through” the 4th dimension.

The torus is actually one of the current theories of the shape of universe while the klein bottle is shape of the idea in theoretical physics called string theory that reality is made up of infinitesimal vibrating strings, smaller than atoms, electrons or quarks

Finally, there exist scenarios in which there could actually be more than 4D of spacetime. String theories require extra dimensions of spacetime for their mathematical consistency. In string theory, spacetime is 26-dimensional, while in superstring theory it is 10-dimensional, and in M-theory it is 11-dimensional (Wikipedia).

These are situations where theories in two or three spacetime dimensions are no more useful. This classification theorem identifies several infinite families of groups as well as 26 additional groups which do not fit into any family.

## The three (3) zones

In order to describe real physical phenomena using string theory, one must therefore imagine scenarios in which these extra dimensions would not be observed in experiments so it would become the irrational partitions.

[(6 + 6) x 6] + [6 + (6 x 6)] = 72 + 42 = 71 + 42 + 1 = 114 objects

``````layer | node | sub |  i  |  f
------+------+-----+----------
|      |     |  1  | -----------------------  71 = 72-1
|      |  1  +-----+                        |
|  1   |     |  2  | (5)                    |
|      |-----+-----+                        |
|      |     |  3  | ---------              |
1   +------+  2  +-----+----      |             |
|      |     |  4  |          5x ---        |
|      +-----+-----+          |     |       |
|  2   |     |  5  | (7) -----      |       |
|      |  3  +-----+                |       |
289+11=300   |     |  6  |                |       |
------+------+-----+-----+----- 72 x 6   7x --- 11x = 77 (rational)
|      |     |  7  |                |       |
|      |  4  +-----+                |       |
|  3   |     |  8  | (11)  ---      |       |
|      +-----+-----+          |     |       |
|      |     |  9  |          2x ---        |
2   +------|  5  +-----+-----     |             |
|      |     |  10 | ---------              |
|      |-----+-----+                        |
|  4   |     |  11 | (13) ------------------  71 = 72-1
|      |  6  +-----+
329+71=400   |     |  12 |------------------------  70 = 72-2
------+------+-----+-----+
|      |     |  13 |
|      |  7  +-----+
|  5   |     |  14 | (17) ◄---------------------------
|      |-----+-----+
|      |     |  15 | ◄-- 42 x 6 partitions of 13 (irrational)
3   +------+  8  +-----+-----
|      |     |  16 |      ◄---------------------------
|      |-----+-----+
|  6   |     |  17 | (19)
|      |  9  +-----+
168+32=200   |  |  |  18 |------------------------  68 = 72-4
------|------|--|--+-----+
900 -----
``````

This irrational parts took the finiteness position of middle zero axis = 15 on our 19 vs 18 Scenario contained in three (3) groups of five (5) of integer number partitions where each groups represents the three (3) basic arithmetic operations of Euler's identity.

329 + 109 + 109 + 71 = 329 + 289 = 618 = 1000/1.618 = 1000/φ

The 200 objects that goes from the 2nd to 3rd prime identity would take position as multiplication zone by given of 100x2=200 which is then be used in turn to 100+2=102 (addition zone) and 100^2=10000 (exponentiation zone)

2 + 60 + 40 = 102

``````1st layer:
It has a total of 1000 numbers
Total primes = π(1000) = 168 primes

2nd layer:
It will start by π(168)+1 as the 40th prime
It has 100x100 numbers or π(π(10000)) = 201 primes
Total cum primes = 168 + (201-40) = 168+161 = 329 primes

3rd layer:
Behave the same as 2nd layer which has a total of 329 primes
The primes will start by π(π(π(1000th prime)))+1 as the 40th prime
This 1000 primes will become 1000 numbers by 1st layer of the next level
Total of all primes = 329 + (329-40) = 329+289 = 618 = 619-1 = 619 primes - Δ1
``````

The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum mechanics. It is a key result in quantum-mechanical system, and its discovery was a significant landmark in the development of the subject.

Complex plot of a wave function that satisfies the nonrelativistic Schrödinger equation with V = 0. In other words, this corresponds to a particle traveling freely through empty space (Wikipedia).

## The modular function

Consequently, we only need to fold a 30's cycle as in the illustration 7 so that we can identify the opposite prime positions that form their specific pairs in a specific convolution.

These two (2) exponent are acting as the exchange zones of the MEC30 behaviour of the other two operators. This interactions is managed in between 4 identities of (26 to 29) and 2 identities (30 to 31) by means of Triangular waves.

A seemingly unrelated construction is the j-function of number theory. This object belongs to a special class of functions called modular functions, whose graphs form a certain kind of repeating pattern.

Although this function appears in a branch of mathematics that seems very different from the theory of finite groups, the two subjects turn out to be intimately related (Wikipedia).

We propose a new higher dimensional version of the McKay correspondence which enables us to understand the Hodge theory assigned to singular Gorenstein varieties by physicists, and so-called Higgs bundles.

Hodge theory can be extended to cohomology with coefficients in nonabelian groups between flat vector bundles which, by the Riemann-Hilbert correspondence, are the same as local systems (Hodge Theory in String Theory)

Our results lead to the conjecture that string theory indicates the existence of some new cohomology theory for algebraic varieties with Gorenstein singularities.

💎 🚀 🔨 📂
4
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orientation
intro

# Object Orientation

Here we are going to discuss the concept of lagging and leading scheme on DNA System using four-dimensional space (4D). A mathematical extension of the concept of three-dimensional space (3D) originated by 43 out of 89 objects of bilateral 9 sums.

``````---+-----+-----
1 | {1} |{43}
---+-----+-----
2 | 44  |{57}
---+-----+-----
3 | 58  | 59
---+-----+-----
4 | 60  | 104
---+-----+-----
5 | 105 |{115}
---+-----+-----
6 |{116}| 134
---+-----+-----
7 | 135 | 162
---+-----+-----
8 | 163 | 175
---+-----+-----
9 | 176 |{176}
---+-----+-----
``````

The geometry of four-dimensional space is much more complex than that of three-dimensional space, due to the extra degree of freedom. However in our case this 43 objects has excatly a finite fraction of four (4) axis dimensions to MEC30.

(114/2)! = 57! = 1653 » 1653 / 57 = 29

``````--------+
| ⅓
+---   } ⅔
Case A | ⅓
+---------
| ⅓      |
-----------------+  Φ = ⅔
| ⅓      |
+---------
Case B | ⅓
+---   } ⅔
| ⅓
---------
``````

9 + 19 + 29 = 28 + 29 = 57

``````P7:(142857)

#  |  A   |  B   | ∑
------+------+------+-----
{1} |      |      |
------+      |      |
...  |  28  |  29  | 57
------+      |      |
{57} |      |      |
------+------+------+-----
58  |      |      |
------+      |      |
... |  29  |  28  | 57
------+      |      |
114  |      |      |
------+------+------+-----
|  57  |  57  | 114
``````

Comparatively, four-dimensional space has an extra coordinate axis, orthogonal to the other three, which is usually labeled w to describe the two additional cardinal directions of up toward and down from, respectively.

The set of points in Euclidean 4-space having the same distance R from a fixed point P0 forms a hypersurface known as a 3-sphere where R is substituted by function R(t) with t meaning the cosmological age of the universe. Growing or shrinking R with time means expanding or collapsing universe, depending on the mass density inside (Wikipedia).

By deploying containers on Compute Engine, you can simplify app deployment while controlling four dimensional space. You can configure a virtual machine (VM) instance or an instance template to deploy and launch a Docker container.

## Balanced Prime

The initial objects will be a formation of a double helix driven by vectors 71 and 68 based on the arrangement of prime numbers on a cube of 10x10x10 or 1000 to the Golden Ratio.

π(10x10x10) + 10x10x10/Φ = π(1000) + 1000/Φ = 168 + 618 = (7x71) + (17x17) = 786

1/7 = 0,142857142857142857142857.. infinity

By the prime numbers this polarizing between the objects and its tensors is identified by the 157 as the 19+18=37th prime. This 157 is a balanced prime of two (2) primes of 151 + 163 = 314 = 100 x π by which the 100 is standing as the square of 10x10 out of the central objects of ten (10) while the π is one of the constant of Euler's identity.

The number 157 is the 18+19=37th prime number, a balanced prime, because the arithmetic mean of those primes yields 157. The next prime is 163 and the previous prime is 151, with which 157 forms a prime triplet (Wikipedia).

By this square correlation between natural and prime numbers then the 571 would be separated by the 100 to 500 and 71 and finally by the form of (2,10) the 500 goes to 50 while 71 is polarized to 71x2=142 and 177 as shown on the table.

(10/2)π = 157 ⇄ (10^2)¹ + 11x7 = 177 = 286 - 109

So by the above explanation of this 157's behaviour it is now left the question of where the tensor of 571 by the two (2) numbers of 285 and 286 is going. That is the imajinary part (i) of Euler's identity has something to do with the zeta function.

### Encapsulation Scenario

This 4D concept is conducted to get 1000 prime objects of 3rd layer within four (4) times interaction of triangular waves between 26 and 28th prime identities starting from 11x2=22, 22x2=44, 44x2=88 that leads to 88x2=176 objecs of 4th prime identity.

4 x 22 of 88 rows = 4 x 528 = 2112 elements = the index of 1000th prime

``````id: 26
---+-----+-----+-----+-----+
1 |   5 |   1 |  6  |   7 |----------------------------
---+-----+-----+-----+-----+                            |
2 |   2 |   7 |  9  |  16 |----------------------      |
---+-----+-----+-----+-----+                      |     |
3 |  58 |  10 |  68 |  78 |----------------      |     |
---+-----+-----+-----+-----+                |     |     |
4 |  35 |  69 | 104 | 173 |----------      |     |     |
---+-----+-----+-----+-----+          |     |     |     |
5 | {17}| 105 | 122 |{227}|          |     |     |     |
---+-----+-----+-----+-----+- Cross  {17}Δ26|43Δ30|13Δ17|30 ----
6 | {17}|{123}| 140 | 263 |          |     |     |     |       |
---+-----+-----+-----+-----+          |     |     |     |       |
7 |  18 | 141 | 159 | 300 |----------      |     |     |       |
---+-----+-----+-----+-----+                |     |     |       |
8 |  15 | 160 | 175 | 335 |----------------      |     |       |
---+-----+-----+-----+-----+                      |     |       |
9 |  15 | 176 | 191 | 367 |----------------------      |       |
---+-----+-----+-----+-----+                            |       |
10 |  35 |{192}|{227}| 419 |----------------------------        |
---+-----+-----+-----+-----+                                    |
|
id: 27                                                {26}      |
|       |
---+-----+-----+-----+-----+                            |       |
1 |   5 |   1 |   6 |   7 |----------------------    {1+7}     |
---+-----+-----+-----+-----+                      |     |       |
2 |   7 |   7 |  14 |  21 |----------------      |     |       |
---+-----+-----+-----+-----+                |     |   {17}      |
3 |  29 |  15 |  44 |  59 |----------      |     |     |       |
---+-----+-----+-----+-----+          |     |     |     |       |
4 |   8 |  45 |  53 |  98 |          |     |     |     |       |
---+-----+-----+-----+-----+- 4xMEC30 29    2    18 -- Cross -- MEC30
6 |   4 |  54 |  58 | 112 |          |     |     |     |       |
---+-----+-----+-----+-----+          |     |     |     |       |
7 |   - |  59 |  59 | 118 |----------      |     |     |       |
---+-----+-----+-----+-----+                |     |   {17}      |
7 |   9 |  60 |  69 | 129 |----------------      |     |       |
---+-----+-----+-----+-----+                      |     |       |
8 |  23 |  70 |  93 | 163 |----------------------    {1x7}     |
---+-----+-----+-----+-----+                            |       |
|       |
id: 28                                                {28}      |
|
---+-----+-----+-----+-----+                                    |
1 |   5 |  1  |  6  |   7 |----------------------------        |
---+-----+-----+-----+-----+                            |       |
2 |   6 |  7  | 13  |  20 |----------------------      |       |
---+-----+-----+-----+-----+                      |     |       |
3 |   7 | 14  | 21  |  35 |----------------      |     |       |
---+-----+-----+-----+-----+                |     |     |       |
4 |   6 | 22  | 28  |  50 |----------      |     |     |       |
---+-----+-----+-----+-----+          |     |     |     |       |
5 |  13 | 29  | 42  |  71 | Δ13     Δ11   Δ7     0     0 --=---
---+-----+-----+-----+-----+          |     |     |     |
6 |  17 | 43  | 60  | 103 |----------      |     |     |
---+-----+-----+-----+-----+                |     |     |
7 |  14 | 61  | 75  | 136 |----------------      |     |
---+-----+-----+-----+-----+                      |     |
8 |   6 | 76  | 82  | 158 |----------------------      |
---+-----+-----+-----+-----+                            |
9 |   5 | 83  | 88  | 171 |----------------------------
---+-----+-----+-----+-----+
``````

This scheme could be happen by The Encapsulation behaviour of 28 which is the natural number following 27 preceding 29 and depicted as 28 balls arranged in a triangular pattern with the number of layers of 7 which lead to the concept of Gematria.

Twenty-eight is a composite number, its proper divisors being 1, 2, 4, 7, and 14. It is the only known number that can be expressed as a sum of the first nonnegative (or positive) integers ( 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7) and a sum of the first nonprimes ( 1 + 4 + 6 + 8 + 9 ), and it is unlikely that any other number has this property (Wikipedia)..

However there was a wide discussion stating that Gematria is NOT numerology. impacting a loss of science principal on prime interaction such as in DNA System, which occurs at a mismatch, is said to trigger a shift in the balance, for the binding of the template-primer, from the polymerase, to the exonuclease domain. So it shall use a method that combines data and code.

Encapsulation allows developers to present a consistent and usable interface which is independent of how a system is implemented internally. As one example, encapsulation can be used to hide the values or state of a structured data object inside a class, preventing direct access to them by clients in a way that could expose hidden implementation details or violate state invariance maintained by the methods (Wikipedia).

Encapsulation is key concept in object-oriented programming (OOP) defined as a way to restrict the direct access to components of an object that users cannot access state values for all of the variables of a particular object. So let's discuss it first.

### Golden Ratio

So it is converting all residual objects out of the prime recycling of Riemann Zeta in to those three (3) basic arithmetic operations of Euler's identity as well the Fibonacy constant (φ) to Euler's number (e). Thus none of residual is neglected by an assumption.

This behaviour would come to the feature of golden ratio. However it is not stand as a basic rule but as an impact of 329's vs 289's layers. That is also the reason why we could only see the three (3) digits of 618 out of the Fibonaci constant.

φ = 1.618 = Fibonaci = Golden Ratio

Plottng 40th prime scheme of the three (3) layers with all the features of 3rd prime identity as explained above then they would form their recycing through the three (3) times bilateral 9 sums as shown below.

89^2 - 1 = 7920 = 22 x 360 = 66 x 120 = (168 - 102) x 120

``````layer | node | sub |    i     |   f
------+------+-----+----------+-----+-----+-----+                                    ---
|      |     |    1,2:1 |   1 |  30 |  40 | 71 (2,3) ‹-------------------       |
|      |  1  +----------+-----+-----+-----+                              |      |
|  1   |     |        2 |                                                |      5¨  encapsulation
|      |-----+----------+            -----------------------------       |      |
|      |     |        3 |           |                             |      |      |
1   +------+  2  +----------+----       |       LAGGING SCHEME        |      |     ---
|      |     |        4 |           |    (Exponentiation Zone)    |      |      |
|      +-----+----------+           |                             |      |      |
|  2   |     |        5 |           ------------------------------       |      7¨  abstraction
289   |      |  3  +----------+                                                |      |
|     |      |     |        6 |  ‹---------------------------- Φ               | {6®} |
------+------+-----+----------+-----+-----                                     |     ---
|      |     |     11:7 |   5 |   9 |  14 (20) --------› ¤               |      |
|      |  4  +----------+-----+-----+-----+                              |      |
|  3   |     |     12:8 |   9 |  60 |  40 | 109 (26) «------------       |     11¨  polymorphism
|      +-----+----------+-----+-----+-----+                       |      |      |
|      |     |     13:9 |   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
2   +------|  5  +----------+-----+-----+-----+                       |      |     ---
|      |     |    14:19 |   9 |  60 |  40 | 109 (28) -------------       |      |
|      |-----+----------+-----+-----+-----+                              |      |
|  4   |     | 15,18:11 |   1 |  30 |  40 | 71 (29,30,31,32) ------------      13¨  inheritance
329   |      |  6  +----------+-----+-----+-----+                                     |
|     |      |     |    19:12 |  10 |  60 | {70} (36) -------› Φ                      |
------+------+-----+----------+-----+-----+                                          ---
|      |     |    20:13 |  90 |  90 (38) ‹-------------- ¤                      |
|      |  7  +----------+-----+                                                 |
|  5   |     |       14 |            -----------------------------             17¨  class
|      |-----+----------+           |                             |             |
|      |     |       15 |           |       LEADING SCHEME        |             |
3   +------+  8  +----------+-----      |    (Multiplication Zone)    |            ---
|      |     |       16 |           |                             |             |
|      |-----+----------+-----+      -----------------------------              |
|  6   |     |    28:17 | 100 |                                                19¨  object
168   |      |  9  +----------+-----+                                                 |
|     |      |     |    29:18 | 50  | 50(68) ---------> Δ18                           |
------|------|-----+----------+-----+                                                ---
``````

These three (3) times bilateral 9 sums will lead to 168 vs 618 exponents between 68 and 69 objects of 50 and 27th prime identity that simulate the X/Y-genes reproduction of human cromosomes to the repository assignment of our project.

## Registry unit

You can see that two distinct pressure zones are forming and that the spiral pattern expected from lid-driven cavity flow is beginning to form. Experiment with different values of nt to see how long the system takes to stabilize.

It is a relationship between the rate of acceleration of liquids (the increase in their speed) and the force that acts on them, widely used in moving air vehicles, and is considered the most important equation used in the application of aircraft movement.

It is considered one of the most important equations in physics. Now let's analyze how we could say this structure can be used for switching the workflow between Windows and Linux.

💎 🚀 🔨 📂
5
1
bonding
intro

# Bonding Position

Yet another related dimension of symmetry, when you combine the terminating digit symmetries described above, capturing three (3) rotations of 120 around the sieve in their actual sequences, you produce the ultimate combinatorial symmetry

``````---+-----+-----
1 | {1} |{11}
---+-----+-----
2 | 12  | 32
---+-----+-----
3 | 33  |{50}
---+-----+-----
4 | 51  |{86}
---+-----+-----
5 | 87  | 108
---+-----+-----
6 |{109}| 120
---+-----+-----
``````

In quantum mechanics, Schrödinger's cat is a thought experiment that illustrates a paradox of quantum superposition.

In the thought experiment, a hypothetical cat may be considered simultaneously both alive and dead, while it is unobserved in a closed box, as a result of its fate being linked to a random subatomic event that may or may not occur (Wikipedia).

2x10 + 9 = 20 + 9 = 29

``````-----+-----+-----+-----+-----+
1' |  1  | {2} |  3  |  4  | 4¤
+-----+-----+-----+-----+
2' |  5  |  6  |  7  |  8  | 4¤
+-----+-----+-----+-----+
3' |  9  |{10} |  2¤ (M dan F)
+-----+-----+-----+
4' | 11  | 12  | 13  | 3¤  <----------- d(11) = d(17+12)= d(29)
+-----+-----+-----+-----+
5' | 14  | 15  | 16  | 17  | 4¤
+-----+-----+-----+-----+
6' | 18  | 19  |{20} | 3¤
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
∑  | 21  | 22  | 23  | 24  |{25} | 26  | 27  | 28  | 29  | 9¤
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
|----------------------- {9'} ------------------------|
``````

Primzahlentechnologie Einleitung. Wie Geht Primzahlen Technologie. MEC 30 - Mathematical Elementary Cell 30: Die Theorie der Gravitation ist die Mathematik des Universums and MEC30.2 Method for factorization

Measuring with your limb scale is a measurement that does not intervene in the system, so also possible in the idle state of the system. Thus, the MEC 30 results in a measurement method for the energy flow in a system in which the route plan or flow plan of the energy is obtained (German Patent DE102011101032 and DE102014016656).

The Prime Spiral Sieve possesses remarkable structural and numeric symmetries. For starters, the intervals between the prime roots (and every subsequent row or rotation of the sieve) are perfectly balanced, with a period eight (8) difference sequence of: {6, 4, 2, 4, 2, 4, 6, 2} (Primesdemystified).

## Symmetry Mirroring

Speaking of the Fibonacci number sequence, there is symmetry mirroring the above in the relationship between the terminating digits of Fibonacci numbers and their index numbers equating to members of the array populating the Prime Spiral Sieve.

The 77 is equal to the sum of the first 8 primes. The square of 77 is 5929, the concatenation of two primes, 59 and 29. The concatenation of all palindromes from one up to 77 is prime (Prime Curios! ).

Prime numbers that end with "77" occur more often than any other 2-digit ending among the first one million primes. The sum of the proper divisors of 77 equals 19 and the sum of primes up to 19 equals 77. Does this ever happen again?

``````  Tabulate Prime by Power of 10
loop(10) = π(10)-π(1) = 4-0 = 4
loop(100) = π(100)-π(10)-1th = 25-4-2 = 19
loop(1000) = π(1000) - π(100) - 10th = 168-25-29 = 114

-----------------------+----+----+----+----+----+----+----+----+----+-----
True Prime Pairs Δ    |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | Sum
=======================+====+====+====+====+====+====+====+====+====+=====
19 → π(10)            |  2 |  3 |  5 |  7 |  - |  - |  - |  - |  - | 4th  4 x Root
-----------------------+----+----+----+----+----+----+----+----+----+-----
17 → π(20)            | 11 | 13 | 17 | 19 |  - |  - |  - |  - |  - | 8th  4 x Twin
-----------------------+----+----+----+----+----+----+----+----+----+-----
13 → π(30) → 12 (Δ1)  | 23 | 29 |  - |  - |  - |  - |  - |  - |  - |10th
=======================+====+====+====+====+====+====+====+====+====+===== 1st Twin
11 → π(42)            | 31 | 37 | 41 |  - |  - |  - |  - |  - |  - |13th
-----------------------+----+----+----+----+----+----+----+----+----+----- 2nd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 |  - |  - |  - |  - |  - |17th
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 |  - |  - |  - |  - |  - |  - |20th
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
3,2 → 18+13+12 → 43  | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th
=======================+====+====+====+====+====+====+====+====+====+=====
Δ                                                            Δ
12+13+(18+18)+13+12   ← 36th-Δ1=151-1=150=100+2x(13+12)   ←   30th = 113 = 114-1
``````

The individual bases, depending on their sizes and spatial extents and masses, are assigned unequivocal values, situated within the vibration heights derived from (I), to define a measure from which the sequence can be counted, read or imaged.

``````layer | node | sub |    i     |   f
------+------+-----+----------+-----+-----+-----+                                    ---
|      |     |    1,2:1 |   1 |  30 |  40 | 71 (2,3) ‹-------------------       |
|      |  1  +----------+-----+-----+-----+                              |      |
|  1   |     |        2 |                                                |      5¨  encapsulation
|      |-----+----------+            -----------------------------       |      |
|      |     |        3 |           |                             |      |      |
1   +------+  2  +----------+----       |       LAGGING SCHEME        |      |     ---
|      |     |        4 |           |    (Exponentiation Zone)    |      |      |
|      +-----+----------+           |                             |      |      |
|  2   |     |        5 |           ------------------------------       |      7¨  abstraction
289   |      |  3  +----------+                                                |      |
|     |      |     |        6 |  ‹---------------------------- Φ               | {6®} |
------+------+-----+----------+-----+-----                                     |     ---
|      |     |     11:7 |   5 |   9 |  14 (20) --------› ¤               |      |
|      |  4  +----------+-----+-----+-----+                              |      |
|  3   |     |     12:8 |   9 |  60 |  40 | 109 (26) «------------       |     11¨  polymorphism
|      +-----+----------+-----+-----+-----+                       |      |      |
|      |     |     13:9 |   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
2   +------|  5  +----------+-----+-----+-----+                       |      |     ---
|      |     |    14:19 |   9 |  60 |  40 | 109 (28) -------------       |      |
|      |-----+----------+-----+-----+-----+                              |      |
|  4   |     | 15,18:11 |   1 |  30 |  40 | 71 (29,30,31,32) ------------      13¨  inheritance
329   |      |  6  +----------+-----+-----+-----+                                     |
|     |      |     |    19:12 |  10 |  60 | {70} (36) -------› Φ                      |
------+------+-----+----------+-----+-----+                                          ---
|      |     |    20:13 |  90 |  90 (38) ‹-------------- ¤                      |
|      |  7  +----------+-----+                                                 |
|  5   |     |       14 |            -----------------------------             17¨  class
|      |-----+----------+           |                             |             |
|      |     |       15 |           |       LEADING SCHEME        |             |
3   +------+  8  +----------+-----      |    (Multiplication Zone)    |            ---
|      |     |       16 |           |                             |             |
|      |-----+----------+-----+      -----------------------------              |
|  6   |     |    28:17 | 100 |                                                19¨  object
168   |      |  9  +----------+-----+                                                 |
|     |      |     |    29:18 | 50  | 50(68) ---------> Δ18                           |
------|------|-----+----------+-----+                                                ---
``````

## Molecular Interactions

By the nature this behaviour can be observed from the molecular interactions of water. Water is intrinsically self-complementary on molecular interactions. In liquid or solid water, engage in ideal hydrogen bonding. Six (6) times of the angle 109 occupied as the most while the angle of 114 and 104 are exist only once. So the one in charge here is clearly the 29th prime identity.

109 = 29th prime = (10th)th prime = ((114-104)th)th prime

Let's assume that it is done using a material that stretches and then pops back when the stretching force goes away. It is pound for pound stronger than steel. So all of these steps are similar kind with the way a spider started to build its web.

Every web begins with a single thread, which forms the basis of the rest of the structure. To establish this bridge, the spider climbs to a suitable starting point (up a tree branch, for example) and releases a length of thread into the wind. With any luck, the free end of the thread will catch onto another branch (howstuffworks.com).

This 29 turns the finiteness position of 15 as the middle zero axis of the MEC30. So the next steps will start exactly with the same story as we have explained from the beginning.

MEC 30 claims to "illustrate and convey the connections between quantum mechanics, gravitation and mathematics in a new way" via the elementary level of numbers. It starts with a theory about the structure of light, which is then transferred to various areas of the natural sciences.

The only different is, instead of an instance, it will behave as an inside container, just like how spider built a home web as strong as steel but useless to cover them against a rainy day nor even a small breeze.

💎 🚀 🔨 📂
6
1
quantum
intro

# The Quantum Way

``````---+-----+-----
1 | 1   |{73}
---+-----+-----
2 |{74} | 94
---+-----+-----
3 | 95  | 113
---+-----+-----
4 |{114}| 121
---+-----+-----
5 | 122 | 135
---+-----+-----
6 | 136 | 156
---+-----+-----
7 |{157}|{165}
---+-----+-----
``````

What is critical to understand, is that the invisible hand of 2, 3 and 5, and their factorial 30, create the structure within which the balance of the prime numbers, i.e., all those greater than 5, are arrayed algorithmically–as we shall demonstrate.

In number theory, the partition function p(n) represents the number of possible partitions of a non-negative integer n. For instance, p(4) = 5 because the integer 4 has the five partitions 1 + 1 + 1 + 1, 1 + 1 + 2, 1 + 3, 2 + 2, and 4. (Wikipedia).

The integer thirty (30) is the 19th composite number, Organizing Principle of the Prime Number Sequence, provides both vertical and horizontal structure to the prime number sequence in Prime Spiral Sieve.

The number 30 possesses remarkable attributes, including–and perhaps most profoundly–its role (along with its prime factors 2, 3 and 5) as a primary organizing principle in the distribution of prime numbers (Primesdemystified).

``````           15
↓
29
↓
---+-----+-----
6 | 30  | 31   ------
---+-----+-----       |
7 | 32  | 44         |
---+-----+-----       | 4th (id:12)
8 | 45  | 46         |
---+-----+-----       |
9 | 47  | 49   --329-¤-multiplication zone
---+-----+-----       | 5th (id:13)
10 | 50  | 50   ------
---+-----+-----
11 | 51  | 53   ------
---+-----+-----       |
12 | 54  | 59         |
---+-----+-----       | 6th (id:14 - id:15)
13 | 60  | 82         |
---+-----+-----       |
14 | 83  |{102} --289-¤-exponentiation zone
---+-----+-----       | 7th (id:16 - id:19)
15 |{103}| 110  ------
---+-----+-----
``````

Prime hexagon is a mathematical structure developed by mathematician T. Gallion that is formed when integers are sequentially added to a field of tessellating equilateral triangles, where the path of the integers is changed whenever a prime is encountered.

The tessellating field of equilateral triangles fills with numbers, with spin orientation flipping with each prime number encountered, creating 3 minor hexagons, assigned names blue, red and green.

Many of you with familiarity with Docker for Windows know how you currently have to switch between running either Windows or Linux Containers. Prime hexagon teaches us how to combat this limitation and run both simultaneously on the same host.

## Separated segments

Functional description of DNA, useful e.g. for identifying new coding sequences, comprises assigning characteristic values to individual bases derived from vibrational properties

The lagging strand is the strand of new DNA whose direction of synthesis is opposite to the direction of the growing replication fork. The lagging strand is synthesized in short, separated segments.

320 + 289 + 168 = 618 + 168 = 786

Cell types are interesting, but they simply reflect a modulo six (6) view of numbers. More interesting are the six internal hexagons within the Prime Hexagon. Like the Prime Hexagon, they are newly discovered.

Surprisingly, the 24-cell hexagon confines all natural numbers. The reason: no prime numbers occupy a cell with a right or left wall on the t-hexagon’s outer boundary, other than 2 and 3.

### Three dimensional sphere

In 1904 the French mathematician Henri Poincaré asked if the three dimensional sphere is characterized as the unique simply connected three manifold. This question, the Poincaré conjecture, was a special case of Thurston's geometrization conjecture.

Perelman's proof tells us that every three manifold is built from a set of standard pieces, each with one of eight well-understood geometries (ClayMath Institute).

The initial primes that forced the number line into this complex coil. Without a prime number in the outer set of triangles, the number line does not change to an outward course and remains forever contained in the 24 cells shown above.

The minor hexagons form solely from the order, and type, of primes along the number line. Perhaps they have no significance. however, as they do form I suspect they must connect to deeper things in mathematics (Prime Hexagon).

Phi and its members have a pisano period if the resulting fractional numbers are truncated. If one instead rounds to the nearest number, the modular values for the first two terms are flipped compared to the 24th and 25th values as seen below.

Numbers fill the hexagon by spiraling until a prime number is met, then it jumps to the next minor hexagon and begins to spiral again. As the numbers continue to fill the field, the other minor hexagons from, purple, cyan and yellow.

(2112/82) − (576/82) = 24

``````layer | node | sub |     i    |   f
------+------+-----+----------+------                                             ---
|      |     |    1,2:1 |  71 (2,3) -------------                            |
|      |  1  +----------+                        |                           |
|  1   |     |        2 |                        |                          (5)
|      |-----+----------+                        |                           |
|      |     |        3 |                        |                           |
1   +------+  2  +----------+----                    |                          ---
|      |     |        4 |                        |                           |
|      +-----+----------+                        |                           |
|  2   |     |        5 |                        |                          (7)
289   |      |  3  +----------+                        |                           |
|     |      |     |        6 |                        | {6®}                      |
------+------+-----+----------+------      } (36)      | ↓                        ---
|      |     |     11:7√| 50/10+9 (20) ----› ¤ √ | 29=MEC30 - Δ1             |
|      |  4  +----------+                        | ↓                         |
|  3   |     |     12:8√| 9+60+40 (26) √ --      | from 329-40 √           (11)
|      +-----+----------+                  |     | ↓ lagging                 |
|      |     |     13:9√| 9+60 (27) √      | {2®} from 168 (Triangular) √    |
2   +------|  5  +----------+-----             |     | ↓ leading                ---
|      |     |    14:10√| 9+60+40 (28) √ --      | goes to 329 √             |
|      |-----+----------+                        |                           |
|  4   |     | 15,18:11√| 71 (29,30,31,32) ------                          (13)
329   |      |  6  +----------+                                                    |
|     |      |     |    19:12√| {70} (36)                                          |
------+------+-----+----------+------------------                                 ---
|      |     |    20:13√| (20-11)x10 (38) ‹- ¤ √                             |
|      |  7  +----------+                                                    |
|  5   |     |       14 |                                                  (17)
|      |-----+----------+                                                    |
|      |     |       15 |                                                    |
3   +------+  8  +----------+-----                                              ---
|      |     |       16 |                                                    |
|      |-----+----------+                                                    |
|  6   |     |    28:17√| 100(50)                                          (19)
168   |      |  9  +----------+                                                    |
|     |      |     |    29:18√| 50(68)                                             |
------|------|-----+----------+------                                             ---
``````

## Prime factor abundances

The genetic material of a cell or an organism refers to those materials found in the nucleus, mitochondria and cytoplasm, which play a fundamental role in determining the structure of cell substances and capable of self-propagating and variation.

Spirals following other tilings of the plane also generate lines rich in prime numbers, for example hexagonal spirals. Hexagonal number spiral with prime numbers in green and more highly composite numbers in darker shades of blue.

### Ricci Flow

Finite collections of objects are considered 0-dimensional. Objects that are "dragged" versions of zero-dimensional objects are then called one-dimensional. Similarly, objects which are dragged one-dimensional objects are two-dimensional, and so on.

The basic ideas leading up to this result (including the dimension invariance theorem, domain invariance theorem, and Lebesgue covering dimension) were developed by Poincaré, Brouwer, Lebesgue, Urysohn, and Menger (MathWorld).

The Ricci flow is a pde for evolving the metric tensor in a Riemannian manifold to make it “rounder”, in the hope that one may draw topological conclusions from the existence of such “round” metrics.

Poincaré hypothesized that if such a space has the additional property that each loop in the space can be continuously tightened to a point, then it is necessarily a three-dimensional sphere (Wikipedia)

The Ricci Flow method has now been developed not only in to geometric but also to the conversion of facial shapes in three (3) dimensions to computer data. A big leap in the field of AI (Artificial intelligence). No wonder now all the science leads to it.

So what we've discussed on this wiki is entirely nothing but an embodiment of this solved Poincare Conjecture. This is the one placed with id: 10 (ten) which stands as the basic algorithm of π(10)=(2,3,5,7).

Many relevant topics, such as trustworthiness, explainability, and ethics are characterized by implicit anthropocentric and anthropomorphistic conceptions and, for instance, the pursuit of human-like intelligence.

AI is one of the most debated subjects of today and there seems little common understanding concerning the differences and similarities of human intelligence and artificial intelligence (Human vs AI).

Despite of any debated subjects regarding Human vs AI, the said AI would not even close to the ability of human brain without undertanding of GAP functionality between left and right of the human brain. Let's find it in details on further discussion.

💎 🚀 🔨 📂
7
1
intro

``````---+-----+-----
1 | {1} |{56}
---+-----+-----
2 | 57  |{71}
---+-----+-----
3 | 72  | 85
---+-----+-----
4 |{86} |{89}
---+-----+-----
5 | 90  | 94
---+-----+-----
6 | 95  | 102
---+-----+-----
7 | 103 |{171}
---+-----+-----
8 | 172 | 206
---+-----+-----
``````
``````True Prime Pairs:
(5,7), (11,13), (17,19)

layer|  i  |   f
-----+-----+---------
|  1  |   5
1  +-----+
|  2  |  {7}
-----+-----+---    } 36
|  3  |  11
{2} +-----+
|  4  | {13}
-----+-----+---------
|  5  |  17
3  +-----+       } 36
|  6  | {19}
-----+-----+---------
``````

## Infinite connection

``````Φ = 2,10
Δ = 5,7,17
3': 13,18,25,42
2' » 13 to 77, Δ = 64
2' and 3' » 13 to 45, Δ = 32

2" + 5" = 7" = 77
2"=22, 3"=33, 2" + 3" = 5" = 55

13, 16, 18, 21, 23, 25, 28, 30, 32, 34,
36, 38, 40, 42,
45, 47, 49, 51, 53,
55, 57, 59, 61,
63, 65, 67, 69, 71, 73, 75, 77
``````

Next we will discuss how to form these numbers on each screens. As explained earlier, there are all three (3) layers. The instance is going to simulate DNA polymerase with proofreading ability.

Proofreading removes the mismatched nucleotide and extension continues. If a mismatch is accidentally incorporated, the polymerase is inhibited from further extension (Wikipedia).

A current model of meiotic recombination, initiated by a double-strand break or gap, followed by pairing with an homologous chromosome and strand invasion to initiate the recombinational repair process (Wikipedia).

π(96) = 96/4 = 24

Fidelity is very important in DNA replication. Mismatches in DNA base pairing can potentially result in dysfunctional proteins and could lead to cancer. Hydrogen bonds play a key role in base pair binding and interaction.

The function of DNA polymerase is not quite perfect, with the enzyme making about one mistake for every billion base pairs copied. Error correction is a property of some, but not all DNA polymerases. This process corrects mistakes in newly synthesized DNA (Wikipedia).

### Strand Partition

``````layer | node | sub |    i     |   f
------+------+-----+----------+-----+-----+-----+                                    ---
|      |     |    1,2:1 |   1 |  30 |  40 | 71 (2,3) ‹-------------------       |
|      |  1  +----------+-----+-----+-----+                              |      |
|  1   |     |        2 |                                                |      5¨  encapsulation
|      |-----+----------+            -----------------------------       |      |
|      |     |        3 |           |                             |      |      |
1   +------+  2  +----------+----       |       LAGGING SCHEME        |      |     ---
|      |     |        4 |           |    (Exponentiation Zone)    |      |      |
|      +-----+----------+           |                             |      |      |
|  2   |     |        5 |           ------------------------------       |      7¨  abstraction
289   |      |  3  +----------+                                                |      |
|     |      |     |        6 |  ‹---------------------------- Φ               | {6®} |
------+------+-----+----------+-----+-----                                     |     ---
|      |     |     11:7 |   5 |   9 |  14 (20) --------› ¤               |      |
|      |  4  +----------+-----+-----+-----+                              |      |
|  3   |     |     12:8 |   9 |  60 |  40 | 109 (26) «------------       |     11¨  polymorphism
|      +-----+----------+-----+-----+-----+                       |      |      |
|      |     |     13:9 |   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
2   +------|  5  +----------+-----+-----+-----+                       |      |     ---
|      |     |    14:19 |   9 |  60 |  40 | 109 (28) -------------       |      |
|      |-----+----------+-----+-----+-----+                              |      |
|  4   |     | 15,18:11 |   1 |  30 |  40 | 71 (29,30,31,32) ------------      13¨  inheritance
329   |      |  6  +----------+-----+-----+-----+                                     |
|     |      |     |    19:12 |  10 |  60 | {70} (36) -------› Φ                      |
------+------+-----+----------+-----+-----+                                          ---
|      |     |    20:13 |  90 |  90 (38) ‹-------------- ¤                      |
|      |  7  +----------+-----+                                                 |
|  5   |     |       14 |            -----------------------------             17¨  class
|      |-----+----------+           |                             |             |
|      |     |       15 |           |       LEADING SCHEME        |             |
3   +------+  8  +----------+-----      |    (Multiplication Zone)    |            ---
|      |     |       16 |           |                             |             |
|      |-----+----------+-----+      -----------------------------              |
|  6   |     |    28:17 | 100 |                                                19¨  object
168   |      |  9  +----------+-----+                                                 |
|     |      |     |    29:18 | 50  | 50(68) ---------> Δ18                           |
------|------|-----+----------+-----+                                                ---
``````

## Four-vector configuration

If you are using Docker-for-Windows, you can run now both Windows and Linux containers simultaneously: Running Docker Windows and Linux Containers Simultaneously, not only the Linux container itself, but also an orchestrator like Kubernetes: Kubernetes is Now Available In Docker Desktop Stable Channel

On the lagging strand template, a primase "reads" the template DNA and initiates synthesis of a short complementary RNA primer. This is assigned to Windows container.

The leading strand is the strand of new DNA which is synthesized in the same direction as the growing replication fork. This sort of DNA replication is continuous. This workflow is assigned to Linux container (Ubuntu).

The runner is the application that runs a job from a GitHub Actions workflow. It is used by GitHub Actions in the hosted virtual environments, or you can self-host the runner in your own environment. We use both of them to create group as a four-vector.

DNA polymerase extends primed segments, forming Okazaki fragments. The RNA primers are then removed and replaced with DNA, and the fragments of DNA are joined by DNA ligase and are bound to the helicase heximer (Wikipedia).

In eukaryotes the helicase wraps around the leading strand, and in prokaryotes it wraps around the lagging strand. As helicase unwinds DNA at the replication fork, the DNA ahead is forced to rotate resulting a build-up of twists in the DNA ahead.

Because of its orientation, replication of the lagging strand is more complicated as compared to that of the leading strand. As a consequence, the DNA polymerase on this strand is seen to "lag behind".

### Hamiltonian Path Problem

By The GitHub Runner you can connect to the Google COS Instance. For self-hosted runners defined at the organization level, configure runs-on.group in your workflow file to target a runner groups or combine groups and labels.

On the other hand, with larger systems we are able to transfer the behavior of the energy from the subatomic space into the haptic space with the scale described here (thought experiment Schröninger's cat). Thus, we are still able to apply the Schröninger wave equation in the haptic space, and replace the Hamiltonian with our measurements.

The problems would arise when the Windows Container in Github deliver the RNA Primer to Google instance as Windows Image because it shall read the image while the COS is run under Linux. So it will need to proof and solve without actually having to try.

If it is easy to check that a solution to a problem is correct, is it also easy to solve the problem? This is the essence of the P vs NP question. Typical of the NP problems is that of the Hamiltonian Path Problem given N cities to visit, how can one do this without visiting a city twice? (Clay Institute).

Getting the proofreading ability of DNA polymerase to quickly solve problem for about one mistake for every billion base pairs copied is somehow that required by one of a major unsolved problem in theoretical computer science called P vs NP.

P vs. NP deals with the gap between computers being able to quickly solve problems vs. just being able to test proposed solutions for correctness. As such, the P vs. NP problem is the search for a way to solve problems that require the trying of millions, billions, or trillions of combinations without actually having to try each one (P vs. NP Explained).

This way will also be our approach to Euler's identity. By taking the correlation between f(π) as P vs f(i) as NP where e + 1 = 0 then theoretically they shall be correlated to get an expression of the prime distribution similar to MEC30.

💎 🚀 🔨 📂
8
8
replication
center

# Replication Fork

``````---+-----+-----
1 |  1  |  4
---+-----+-----
2 |  5  | 14
---+-----+-----
3 | 15  | 26
---+-----+-----
4 | 27  | 40
---+-----+-----
5 | 41  |{47}
---+-----+-----
6 | 48  | 54
---+-----+-----
7 | 55  |{71}
---+-----+-----
8 | 72  | 75
---+-----+-----
``````
``````---+-----+-----
1 | 1   | 5    🡰--19--
---+-----+-----        |
2 | 6   | 8           |
---+-----+-----        |
3 | 9   | 26    --289-¤-exponentiation zone
---+-----+-----        |
4 | 27  | 28          |
---+-----+-----        |
5 | 29  | 29   ➤--18--
---+-----+-----
6 | 30  | 31   🡰--18--
---+-----+-----        |
7 | 32  | 44          |
---+-----+-----        |
8 | 45  | 46    --329-¤-multiplication zone
---+-----+-----        |
9 | 47  | 49          |
---+-----+-----        |
10 | 50  | 50   ➤--17--
---+-----+-----
11 | 51  | 53   🡰--17--
---+-----+-----        |
12 | 54  | 59          |
---+-----+-----        |
13 | 60  | 82    --168-¤-addition zone
---+-----+-----        |
14 | 83  |{102}        |
---+-----+-----        |
15 |{103}| 110  ➤--16--
---+-----+-----
``````

20 x 10 = 200 = 16 x 6 + (10² + 14 - 10) = 96 + 114 - 10 = 96 + 104 = 48 + 48 + 104

!

Let's see how triangular numbers come into the picture. A triangular number is a number that can be represented by a pattern of dots arranged in an equilateral triangle with the same number of dots on each side at equal distance from each other.

``````                largest part=21 → 11+13+12=36 →  MEC30
↓                      |
---+-----+-----+-----+-----+                   ↓
1 | 19  | 1   | 20  | 21  |-------------------|-----
---+-----+-----+-----+-----+                   ↓     |
2 | 18  | 21  | 39  | 60  |-------------------      |
---+-----+-----+-----+-----+                   |     |
3 |{63} | 40  | 103 | 143 |-------------      |     |
---+-----+-----+-----+-----+             |     |     |
4 | 37  | 104 | 141 | 245 |-------      |     |     |
---+-----+-----+-----+-----+       |     |     |     |
5 | 10* | 142 | 152 | 294 |- 11** | 13  | 12  | 12  | 18
---+-----+-----+-----+-----+       |     |     |     |
6 | 24  | 153 | 177 | 332 |-------      |     |     |
---+-----+-----+-----+-----+             |     |     |
7 | 75  | 178 | 253 | 431 |-------------      |     |
---+-----+-----+-----+-----+                   |     |
8 | 30  | 254 | 284 | 538 |-------------------      |
---+-----+-----+-----+-----+                   ↓     |
9 | 1   | 285 | 286 | 571 |-------------------|-----
===+=====+=====+=====+=====+                   ↓
45 | 277 |                      ← 11+13+12=36 ←  MEC30
---+-----+                                     |
↑
Note:
10* stands as the central rank
11** stands as the central parts
``````

## Windows registry

This software uses Windows Script Host to read and write to the registry. Read, Write, List and do all sorts of funky stuff to the windows registry using node.js and windows script host.

``````7 x 11 = 77 = 99 - 22 = 11 x (9 -2)

layer | node | sub |  i  |  f
------+------+-----+----------
|      |     |  1  | -----------------------  71 = 72-1
|      |  1  +-----+                        |
|  1   |     |  2  | (5)                    |
|      |-----+-----+                        |
|      |     |  3  | ---------              |
1   +------+  2  +-----+----      |             |
|      |     |  4  |          5x ---        |
|      +-----+-----+          |     |       |
|  2   |     |  5  | (7) -----      |       |
|      |  3  +-----+                |       |
289+11=300   |     |  6  |                |       |
------+------+-----+-----+----- 72 x 6    7x --- 11x = 77
|      |     |  7  |                |       |
|      |  4  +-----+                |       |
|  3   |     |  8  | (11)  ---      |       |
|      +-----+-----+          |     |       |
|      |     |  9  |          2x ---        |
2   +------|  5  +-----+-----     |             |
|      |     |  10 | ---------              |
|      |-----+-----+                        |
|  4   |     |  11 | (13) ------------------  71 = 72-1
|      |  6  +-----+
329+71=400   |     |  12 |------------------------  70 = 72-2
------+------+-----+-----+
|      |     |  13 |
|      |  7  +-----+
|  5   |     |  14 | (17)
|      |-----+-----+
|      |     |  15 |
3   +------+  8  +-----+----- 42 x 6
|      |     |  16 |
|      |-----+-----+
|  6   |     |  17 | (19)
|      |  9  +-----+
168+32=200   |  |  |  18 |------------------------  68 = 72-4
------|------|--|--+-----+
900 -----
``````

### Prime templates

In the windows registry a key may have a default value. When enumarting value names, the default value's name will be empty.

The number 28 depicted as 28 balls arranged in a triangular pattern with the number of layers of 7 ([Wikipedia).

This presents a minor problem when including the empty value in a set with other values since it cannot be safely named with anything but the empty string, for fear of collision with other values.

``````const regedit = require('regedit').promisified

async function main() {
const listResult = await regedit.list('HKCU\\SOFTWARE')
console.log(listResult)

await regedit.createKey(['HKLM\\SOFTWARE\\MyApp2', 'HKCU\\SOFTWARE\\MyApp'])
await regedit.putValue({
'HKCU\\SOFTWARE\\MyApp': {
Company: {
value: 'Moo corp',
type: 'REG_SZ'
}
},
'HKLM\\SOFTWARE\\MyApp2': {
test: {
value: '123',
type: 'REG_SZ'
}
}
})
}

main()
``````

Now the following results: Due to the convolution and starting from the desired value of the prime position pairs, the product templates and prime numbers templates of the prime number 7 lie in the numerical Double strand parallel opposite.

### Anti paralled

The Workflow by this frameworks will absorbe the way of how a DNA is read DNA polymerase which is proceed in the 3′ to 5′ direction, while the new strand is synthesized in the 5' to 3' direction. This scheme is widely known as anti paralled direction.

Since the leading and lagging strand templates are oriented in opposite directions at the replication fork, a major issue is how to achieve synthesis of new lagging strand DNA, whose direction of synthesis is opposite to the direction of the growing replication fork (Wikipedia).

By DNA System it will act as the Replication Fork that exchange along with their residual objects. You may see that it begin with two (2) prime identities of (2,3) and end up with the tensor of 100 to 50 conforms the ζ(s)=1/2.

286 - 4x2 = 278

``````329   |      |  6  +----------+-----+-----+-----+                                     |
|     |      |     |    19:12 |  10 |  60 | {70} (36) -------› Φ                      |
------+------+-----+----------+-----+-----+                                          ---
|      |     |    20:13 |  90 |  90 (38) ‹-------------- ¤                      |
|      |  7  +----------+-----+                                                 |
|  5   |     |       14 |            -----------------------------             17¨  class
|      |-----+----------+           |                             |             |
|      |     |       15 |           |       LEADING SCHEME        |             |
3   +------+  8  +----------+-----      |    (Multiplication Zone)    |            ---
|      |     |       16 |           |                             |             |
|      |-----+----------+-----+      -----------------------------              |
|  6   |     |    28:17 | 100 |                                                19¨  object
168   |      |  9  +----------+-----+                                                 |
|     |      |     |    29:18 | 50  | 50(68) ---------> Δ18                           |
------|------|-----+----------+-----+                                                ---
``````

``````layer | node | sub |    i     |   f
------+------+-----+----------+-----+-----+-----+                                    ---
|      |     |    1,2:1 |   1 |  30 |  40 | 71 (2,3) ‹-------------------       |
|      |  1  +----------+-----+-----+-----+                              |      |
|  1   |     |        2 |                                                |      5¨  encapsulation
|      |-----+----------+            -----------------------------       |      |
|      |     |        3 |           |                             |      |      |
1   +------+  2  +----------+----       |       LAGGING SCHEME        |      |     ---
|      |     |        4 |           |    (Exponentiation Zone)    |      |      |
|      +-----+----------+           |                             |      |      |
|  2   |     |        5 |           ------------------------------       |      7¨  abstraction
289   |      |  3  +----------+                                                |      |
|     |      |     |        6 |  ‹---------------------------- Φ               | {6®} |
------+------+-----+----------+-----+-----                                     |     ---
``````

## Exponentiation Zone

By this flowchart we could deploy models on device and in the browser from image classification, text embeddings, audio, and video action recognition where you can browse trained models and datasets from across the machine learning ecosystem.

### Multiplicatio Zone

7 X (7+6) X (7+12) = 7 X 13 X 19 = 7 X 247 = 1729

By all of the explanation above we concluded that this recycling is started by the tensor of bilateral 9 sums originated from the power of number two (2) which is resulting the congruent property of number 18.

This property would tend the ballancing scheme of MEC30 so it will let 30-18=12 pairing with another 12 of 24 spins prime hexagon. The 24 goes to the center of True Prime Pairs by the prime pair 13 and 11 and let the crancks of 2,3,5,7 inside the 10 ranks.

This is where Goldbach's conjecture, which was also known to Euler, helps. Goldbach considered the distribution of primes from the perspective of the line numbers that represent a separate set of numbers, as shown. So here also helps that the Riemann conjecture is essentially identical point, with the Goldbach conjecture.

The 10 ranks will coordinate with the 18 to raise up the symmetrical behaviour of 12+24=36 which is prime pair 17+19=36 and let the 2 and 3 out of 2,3,5,7 to begin a new cycle while the 5,7 will pair the 11,13 and 17,19 as True Prime Pairs.

With the above description then the instance configuration is via matrix integration from tensorflow which is placed at the end position to the turning point 100 vs 50 to the format (2,3) i.e. at id: 68.

π(1000) = π(Φ x 618) = 168 = 100 + 68 = (50x2) + (66+2) = 102 + 66

### Parsering across syntax

30 + (5+13) + (7+11) + (17+19) = 30 + 18 + 18 + 36 = 30 + 36 + 36 = 102 = 2 + 100

💎 🚀 🔨 📂
9
1
instance
intro

# Building The Instance

``````---+-----+-----
1 |  1  |  28
---+-----+-----
2 |  29 |  37
---+-----+-----
3 | {38}| {48}
---+-----+-----
4 |  49 | 127
---+-----+-----
5 | 128 | 129
---+-----+-----
``````

The following package types are available:

• OS packages: Debian (via Apt), RPM
• Language packages: Java, Node, Python
• Container images packages: Docker, Helm

## Container Image Format

Artifact Registry supports the following container image formats:

• Docker Image Manifest V2, Schema 1
• Docker Image Manifest V2, Schema 2
• Open Container Initiative (OCI) Image Format Specifications After successful execution, you could check the docker log:

### A VM instance with apps deployed directly to the operating system

The common methods of deploying software onto a Compute Engine VM instance include:

1. Deploying software on VM boot using a startup script or cloud-init.
2. Creating a custom boot disk image with software pre-installed.

### A VM instance with apps deployed in a container

The following process describes how you deploy a container on Compute Engine:

1. You bundle your app and required libraries into a Docker image and publish the image to Artifact Registry, Container Registry, or a third-party registry such Docker Hub.
2. You specify a Docker image name and the docker run configuration when creating a VM instance or an instance template for a MIG.

Docker needs access to Artifact Registry to push and pull images. You can use the standalone Docker credential helper tool, docker-credential-gcr, to configure your Artifact Registry credentials for use with Docker without using requiring gcloud.

## Steps to create

Compute Engine executes the following tasks after you make a request to create a VM instance:

1. Compute Engine creates a VM instance that uses a Google-provided Container-Optimized OS image. This image includes a Docker runtime and additional software that is responsible for starting your container.
2. Compute Engine stores your container settings in instance metadata under the gce-container-declaration metadata key.
3. When the VM starts, the Container-Optimized OS image uses the docker run command configuration that is stored in the instance's metadata, pulls the container image from the repository, and starts the container.
``````gcloud compute project-info add-metadata
``````

Artifact Registry integrates with Cloud Build and other continuous delivery and continuous integration systems to store packages from your builds. You can also store trusted dependencies that you use for builds and deployments.

### Limitations

1. You can only deploy one container for each VM instance. Consider Google Kubernetes Engine if you need to deploy multiple containers per VM instance. You can only deploy containers from a public repository or from a private Artifact Registry or Container Registry repository that you can access. Other private repositories are not supported.

2. You can't map a VM instance's ports to the container's ports (Docker's -p option). To enable access to your containers, see Publishing container ports.

3. You can only use Container-Optimized OS (COS) images with this deployment method. COS is an operating system image for your Compute Engine VMs that is optimized for running Docker containers maintained by Google and is based on the open source Chromium OS project .

It would also mean that if you use console or deployment manager it's not possible to deploy more than one container, but if you create a config file and use cloud init you can deploy many containers to that instance.

### Partition

For most frameworks, Debian 10 is the default OS. Ubuntu 20.04 images are available for some frameworks. The boot disk space is split into three types of partitions:

• The root partition, which is mounted as read-only to maintain integrity.
• Stateful partitions, assigned to write the objects of fork movement which are writable and stateful.
• Stateless partitions, assigned as strand which are writable but the content classes do not persist across reboots.

You can attach a persistent disk or create an instance with Local SSDs when using Container-Optimized OS. The disks can be mounted by creating a subdirectory under `/mnt/disks` directory (writable, executable, stateless, tmpfs) using startup-scripts.

If you are using Docker-for-Windows, you can run now both Windows and Linux containers simultaneously: Running Docker Windows and Linux Containers Simultaneously, not only the Linux container itself, but also an orchestrator like Kubernetes: Kubernetes is Now Available In Docker Desktop Stable Channel

On the lagging strand template, a primase "reads" the template DNA and initiates synthesis of a short complementary RNA primer. This is assigned to Windows container.

This Widows is an isolated container, lightweight package for running an application on the host operating system. Containers build on top of the host operating system's kernel (which can be thought of as the buried plumbing of the operating system).

Containers are not for virtualization, and they are using the resources of the host machine. As a result, for now a Windows container cannot run "as-is" on a Linux machine. But you can do it by using VM as it works on Windows. You can install a Windows VM on your Linux host, which will allow to run Windows containers (Stackoverflow).

You can run .NET applications in Linux containers, but only if they’re written in .NET Core which can be deployed on Windows Server Containers. Applications running in Windows Server Containers can run in any language supported by Windows.

SharpKeys is a utility that manages a Registry key that allows Windows to remap one key to any other key. Included in the application is a list of common keyboard keys and a Type Key feature to automatically recognize most keyboard keys. It was originally developed in C# using .NET v2 but has been updated to support .NET 4.0 Client Profile

We found this scenario is the best because sofar Google could only recommend using GKE for that. A GKE cluster has a control plane and machines called nodes it was designed specifically for that purpose. Autopilot mode manages this complexity.

Nodes run the services supporting the containers that make up your workload. The control plane decides what runs on those nodes, so still Linux containers are running on Linux, and Windows containers are running on Windows.

## Configuration

By The GitHub Runner you can connect to the Google COS Instance. For self-hosted runners defined at the organization level, configure runs-on.group in your workflow file to target a runner groups or combine groups and labels.

The runner is the application that runs a job from a GitHub Actions workflow. It is used by GitHub Actions in the hosted virtual environments, or you can self-host the runner in your own environment. We use both of them to create group as a four-vector.

```jobs:
check-bats-version:
runs-on:
group: Default
labels: ubuntu-20.04-16core```

It is possible to dynamically load the images between Windows (WSL Enabled) and Linux in the same workflow using github context such as github.repository_owner_id. You can also read most of the github context data in environment variables.

```{% raw %}
jobs:
github-pages:
runs-on: \${{ github.repository_owner == 'FeedMapping' && 'windows-latest' || fromJSON('["self-hosted", "linux", "X64"]') }}
{% endraw %}```

Selects an action to run as part of a step in your job. An action is a reusable unit of code. You can use an action defined in the same repository as the workflow, a public repository, or in a published Docker container image.

The GitHub hosted runner is assigned to run the Linux container and a Windows Server Core container simultaneously. This is an experimental feature of Microsoft WSL2 and may have some issues. One known problem is volumes are not stable.

```{% raw %}
docker pull --platform=linux ubuntu
docker run --platform=linux -d ubuntu /bin/sh -c "while true; do echo hello world; sleep 1; done"
docker run -d microsoft/windowsservercore ping -t 127.0.0.1
docker inspect --format '{{.Os}}' ubuntu
{% endraw %}```

e + (109² − 89²)/(528/28)/(2 x 3 x 5 x 7) = e + 1 = 0

The opposite direction will be made through switching beetween Linux and Windows which is proceed the old strand in the 3′ to 5′ direction, while the new strand is synthesized in the 5' to 3' direction. Here we set a remote self-host runner via WSL.

With the above description, of course, you can guess where the next direction will be. That is from one (1) unit of DNA to one (1) unit of whole unity. That's why we need a solution of the remaining six (6) other cases to be placed with id: 11, 12, 14, 15, 26 and 28 so that id: 68 is congrued to the number two (2).

Therefore the five (5) identities of (10, 11,12,14,15) are twisted prior joining the two (2) identities of (26,28). Since each of these seven (7) identities is linked by the eleven (11) objects then they turn to a strong seven (77). Lets's discuss them one by one.

💎 🚀 🔨 📂
10
1
imaginary
intro

# Imaginary Square

``````---+-----+-----
1 | {1} | {2}
---+-----+-----
2 |  3  | 20
---+-----+-----
3 | 21  | 46
---+-----+-----
4 |{47} | 58
---+-----+-----
5 | 59  | 70
---+-----+-----
6 |{71} |{93}
---+-----+-----
7 | 94  | 103
---+-----+-----
8 | 104 |{109}
---+-----+-----
``````

The tetractys is a triangular figure consisting of ten points arranged in four rows: one, two, three, and four points in each row, which is the geometrical representation of the fourth triangular number (Wikipedia).

However, we can conclude that the distribution of prime numbers must have a static base structure, which is also confirmed logically in the further course

Φ(11,13) = Φ(1,2,3) + Φ(4,2) = 123 + 42 = 165

``````---+-----+-----+-----+-----+
1 |  72 | 1   | 73  |  74 |-----------------
---+-----+-----+-----+-----+                 |
2 | {20}| 74  | 94  | 168 |-----------      |
---+-----+-----+-----+-----+           |     |
3 | {18}| 95  | 113 | 208 |-----      |     |
---+-----+-----+-----+-----+     |     |     |
4 |  {7}| 114 | 121 | 235 |- {7}| 5   |  1  |{61} = 18th prime
---+-----+-----+-----+-----+     |     |     |
5 |  13 | 122 | 135 | 257 |-----      |     |
---+-----+-----+-----+-----+           |     |
6 |  19 | 136 | 155 | 291 |-----------      |
---+-----+-----+-----+-----+                 |
7 |   9 | 156 | 165 | 321 |----------------
---+-----+-----+-----+-----+
``````

300 - 2x11x13 = 300-286 = 14

``````layer | node | sub |    i     |   f
------+------+-----+----------+-----+-----+-----+                                    ---
|      |     |    1,2:1 |   1 |  30 |  40 | 71 (2,3) ‹-------------------       |
|      |  1  +----------+-----+-----+-----+                              |      |
|  1   |     |        2 |                                                |      5¨  encapsulation
|      |-----+----------+            -----------------------------       |      |
|      |     |        3 |           |                             |      |      |
1   +------+  2  +----------+----       |       LAGGING SCHEME        |      |     ---
|      |     |        4 |           |    (Exponentiation Zone)    |      |      |
|      +-----+----------+           |                             |      |      |
|  2   |     |        5 |           ------------------------------       |      7¨  abstraction
289   |      |  3  +----------+                                                |      |
|     |      |     |        6 |  ‹---------------------------- Φ               | {6®} |
------+------+-----+----------+-----+-----                                     |     ---
|      |     |     11:7 |   5 |   9 |  14 (20) --------› ¤               |      |
|      |  4  +----------+-----+-----+-----+                              |      |
|  3   |     |     12:8 |   9 |  60 |  40 | 109 (26) «------------       |     11¨  polymorphism
|      +-----+----------+-----+-----+-----+                       |      |      |
|      |     |     13:9 |   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
2   +------|  5  +----------+-----+-----+-----+                       |      |     ---
|      |     |    14:19 |   9 |  60 |  40 | 109 (28) -------------       |      |
|      |-----+----------+-----+-----+-----+                              |      |
|  4   |     | 15,18:11 |   1 |  30 |  40 | 71 (29,30,31,32) ------------      13¨  inheritance
329   |      |  6  +----------+-----+-----+-----+                                     |
|     |      |     |    19:12 |  10 |  60 | {70} (36) -------› Φ                      |
------+------+-----+----------+-----+-----+                                          ---
``````

Proceeding, the number line begins to coil upon itself; 20 lands on 2’s cell, 21 on 3’s cell. Prime number 23 sends the number line left to form the fourth hexagon, purple. As it is not a twin, the clockwise progression (rotation) reverses itself.

Twin primes 29 and 31 define the fifth hexagon, cyan. Finally, 37, again not a twin, reverses the rotation of the system, so 47 can define the yellow hexagon (Prime-Hexagon)

7th collumn ◄- 65 + 12 = 77

```|         1st (Form)          |         2nd (Route)         |         3rd (Channel)       |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
150 | 151| 152| 153| 154| 155| 156| 157| 158| 159| 160| 161| 162| 163| 164| 165| 166| 167| 168|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+
Δ1 | 19 |  - | 31 | 37 |  - |  - |  - |  - |  - |  - |  - |  - |  - |  - | 103|  - |  - |  - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ2 | 20 | 26 |  - | 38 |  - |  - |  - |  - |  - | 74 |  - |  - |  - | 98 | 104|  - |  - |  - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ3 | 21 | 27 |  - | 39 |  - |  - |  - |  - |  - | 75 |  - |  - |  - | 99 | 105|  - |  - |  - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ4 | 22 | 28 |  - | 40 |  - |  - |  - |  - |  - | 76 |  - |  - |  - |100 |  - |  - |  - |  - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ5 | 23 | 29 |  - | 41 |  - |  - |  - |  - |  - | 77 |  - |  - |  - |101 |  - |  - |  - |  - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ6 | 24 |  - |  - | 42 |  - | 54 |  - |  - | 72 | 78 |  - | 90 | 96 |  - |  - |  - |  - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+
Δ7 | 25 |  - |  - | 43 |  - | 55 |  - |  - | 73 | 79 |  - | 91 | 97 |  - |  - |  - |  - |  - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ8 |  - |  - |  - | 44 |  - | 56 |  - |  - |  - | 80 |  - | 92 |  - |  - |  - |  - |  - |  - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ9 |  - |  - |  - | 45 |  - | 57 |  - |  - |  - | 81 |  - | 93 |  - |  - |  - |  - |  - |  - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ10 |  - |  - |  - | 46 | 52 | 58 |  - | 70 |  - | 82 | 88 | 94 |  - |  - |  - |  - | 112|  - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ11 |  - |  - |  - | 47 | 53 | 59 |  - | 71 |  - | 83 | 89 | 95 |  - |  - |  - |  - | 113|  - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+   T
Δ12 |  - |  - |  - | 48 |  - | 60 | 66 |  - |  - | 84 |  - |  - |  - |  - |  - | 108|  - |  - |   H
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+   E
Δ13 |  - |  - |  - | 49 |  - | 61 | 67 |  - |  - | 85 |  - |  - |  - |  - |  - | 109|  - |  - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+   P
Δ14 |  - |  - | 32 | 50 |  - | 62 | 68 |  - |  - | 86 |  - |  - |  - |  - |  - | 110|  - |  - |   O
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+   W
Δ15 |  - |  - | 33 | 51 |  - | 63 | 69 |  - |  - | 87 |  - |  - |  - |  - |  - | 111|  - |  - |   E
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+   R
Δ16 |  - |  - | 34 |  - |  - | 64 |  - |  - |  - |  - |  - |  - |  - | -  | 106|  - |  - |  - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+   O
Δ17 |  - |  - | 35 |  - |  - | 65 |  - |  - |  - |  - |  - |  - |  - | -  | 107|  - |  - |  - |   F
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ18 |  - | 30 | 36 |  - |  - |  - |  - |  - |  - |  - |  - |  - | -  |102 |   -|  - |  - |  - | ∑=168
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+
1  |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | 10 | 11 | 12 | 13 | 14 | 15 |  16|  17| 18 | 19 |   V
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+   S
|       Δ    Δ                |                     Φ12     |       Δ                   Δ |
113  150                                   ≜114-25          557                619 = 1+618```

See that by this 6 (six) spines, the number of 19, 43 and 71. The 71 as the third cycles would land on the 2's cell which are the same direction as the 3's, so both of them got this 71.

Below are the spins for the first 80 numbers; 2 (0 and 1) spiral blue, meet prime 5, spiral purple briefly, meet 7 and spiral red. The bands are pretty short because primes are common in the early numbers, but the grow rare as numbers grow large and the bands broaden.

This 71 is a conformation that it has the same result as we have explained on the residual objects of 571 turn to a vektor of 71 while the rest of 500 turn to 200 objects of 3's identity and the last objects of 300 goes to the next cycles.

For now we will be coy and state that the secret of the pyramid lies with two 4-times triangular numbers: The first, 4 x triangular number 528=2112, equates to the total number of elements used to construct the pyramid, which is subdivided into its four lateral faces comprised of 528 elements each in the form of 32 cascading triangular numbers where 2112/96 = 242.

242 = number of Mirror Prime Pairs and 96 is the 360 degree digital root Fibonacci periodicity when indexed to n not divisible by 2, 3, or 5, i.e., period 32 every 120 degrees (Primesdemystified).

## Construct the pyramid

This polarity is happened per six (6) cycles by the polar of six (6) to one (1) and six (6) to seven (7) by which we finally found if this behaviour is cascaded bilaterally within the correlation between 61 as the 18th prime and 67 as the 19th prime.

The most obvious interesting feature of this 24-cell hexagon is it confines all numbers! That is, as the number line winds about toward infinity, bending around prime numbers, it never exits the 24 cells.

💎 🚀 🔨 📂
11
1
bilateral
intro

# Rational vs Irrational

``````---+-----+-----
1 |  1  | 28
---+-----+-----
2 | 29  | 46
---+-----+-----
3 | 47  |{56}
---+-----+-----
4 |{57} | 61
---+-----+-----
5 | 62  | 82
---+-----+-----
6 | 83  | 94
---+-----+-----
7 | 95  | 99
---+-----+-----
8 |{100}|{123}
---+-----+-----
``````
``````           15
↓
35
↓
---+-----+-----
11 | 51  | 53   ------
---+-----+-----       |
12 | 54  | 59         |
---+-----+-----       | 6th (id:14 - id:15)
13 | 60  | 82         |
---+-----+-----       |
14 | 83  |{102} --289-¤-exponentiation zone
---+-----+-----       | 7th (id:16 - id:19)
15 |{103}| 110  ------
---+-----+-----
↓
15
↓
35
``````

Gematria is the practice of assigning a numerical value to a name, word or phrase according to an alphanumerical cipher. Single word can yield several values depending on which cipher is used. This cipher is sometimes erroneously labelled as "Jewish" or "Hebrew" by popular numerology calculators, such as Gematrix and Gematrinator.

It is possible that this well-known cipher was used to conceal other more hidden ciphers in Jewish texts. For instance, a scribe may discuss a sum using the 'standard gematria' cipher, but may intend the sum to be checked with a different secret cipher.

7(111) = 1117 = 7² + 7¹ + 7° = 49 + 7 + 1 = 57

In the standard (Mispar hechrechi) version of gematria, each letter is given a numerical value between 1 and 400, as shown in the following table. In the Mispar gadol variation, the five final letters are given their own values, ranging from 500 to 900.

Δ prime = 114th prime - 19 = (6 x 19)th prime - 19 = 619 - 19 = 600

``````  Sub  | i  |  β  | f
=======+====+=====+=======  ===   ===   ===   ===   ===   ===
1:1:0 | 1  |   1 | 2 {71}   1     1     |     |     |     |
-------+----+-----+-------  ---   ---    |     |     |     |
1:2:1 | 2  |   2 | 3 {71}         |     |     |     |     |
-------+----+-----+----            |     |     |     |     |
*1:2:2 | 3  |   3 | 7 = 1 + 2x3    |     |     |     |     |
-------+----+-----+----            |     |     |     |     |
*1:3:3 | 4  |   4 | 10 = 9 + 1     |     |     |     |     |
-------+----+-----+----            |     |     |     |     |
1:3:4 | 5  |   5 | 11 = 9 + 2     |     |     |     |     |
-------+----+-----+----            9     1‘    |    Δ100   |
*1:3:5 | 6  |   6 | 12 = 9 + 3     |     |     |     |     |
-------+----+-----+----            |     |     |     |     |
*1:4:6 | 7  |   7 | 13 = 9 + 4     |     |     |     |     |
-------+----+-----+----            |     |     |     |     |
1:4:7 | 8  |   8 | 14 = 9 + 5     |     |     |     |     |
-------+----+-----+----            |     |     |     |     |
*1:4:8 |{9} |   9 | 15 = 9 + 6     |     |     |     |     |
-------+----+-----+----            |     |     |     |     |
*1:4:9 |{10}|  10 | 19 = 9 + 10    |     |     |     |     |
=======+====+=====+====           ===   ---    1“   ---    |
2:1:0 | 11 |  20 | 20 = 19 + log 10¹    |     |     |     |
-------+----+-----+----                  |     |     |     |
2:2:1 | 12 |  30 | 26 = 20 + 2x3        |     |     |     |
-------+----+-----+----                  |     |     |     |
*2:2:2 | 13 |  40 | 27 = 26 + 1          |     |     |     |
-------+----+-----+----                  |     |     |     |
*2:3:3 | 14 |  50 | 28 = 26 + 2          |     |     |     |
-------+----+-----+----                  |     |     |     |
2:3:4 | 15 |  60 | 29 = 26 + 3          9‘    |   Δ200  Δ600
-------+----+-----+----                  |     |     |     |
*2:3:5 | 16 |  70 | 30 = 26 + 4          |     |     |     |
-------+----+-----+----                  |     |     |     |
*2:4:6 | 17 |  80 | 31 = 26 + 5          |     |     |     |
-------+----+-----+----                  |     |     |     |
2:4:7 |{18}|  90 | 32 = 26 + 6          |     |     |     |
-------+----+-----+----                  |     |     |     |
*2:4:8 |{19}| 100 | 36 = 26 + 10         |     |     |     |
=======+====+=====+====                 ===   ---   ---    |
*2:4:9 | 20 | 200 | 38 = 36 + log 10²          |     |     |
-------+----+-----+----                        |     |     |
3:1:0 | 21 | 300 | 40 = 36 + 2 x log 10²      |     |     |
-------+----+-----+----                        |     |     |
3:2:1 | 22 | 400 | 41 = 40 + 1                |     |     |
-------+----+-----+----                        |     |     |
*3:2:2 | 23 | 500 | 42 = 40 + 2                |     |     |
-------+----+-----+----                        |     |     |
*3:3:3 | 24 | 600 | 43 = 40 + 3                9“  Δ300    |
-------+----+-----+----                        |     |     |
3:3:4 | 25 | 700 | 44 = 40 + 4                |     |     |
-------+----+-----+----                        |     |     |
*3:3:5 | 26 | 800 | 45 = 40 + 5                |     |     |
-------+----+-----+----                        |     |     |
*3:4:6 | 27 | 900 | 46 = 40 + 6                |     |     |
-------+----+-----+----                        |     |     |
3:4:7 |{28}|1000 | 50 = 40 + 10               |     |     |
=======+====+=====+====                       ===  ====  ----
*3:4:8 |{29}|2000 | 68 = 50 + 3 x (2x3)      {10³} Δ600  Δ300
=======+====+=====+====                        Δ         ====
3:4:9 |{30}|3000 |{71}= 68 + log 10³ ---------¤         Δ900
``````

## Instaneous connection

``````  -----------------------+----+----+----+----+----+----+----+----+----+-----
True Prime Pairs Δ    |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | Sum
=======================+====+====+====+====+====+====+====+====+====+=====
19 → π(10)            |  2 |  3 |  5 |  7 |  - |  - |  - |  - |  - | 4th  4 x Root
-----------------------+----+----+----+----+----+----+----+----+----+-----
17 → π(20)            | 11 | 13 | 17 | 19 |  - |  - |  - |  - |  - | 8th  4 x Twin
-----------------------+----+----+----+----+----+----+----+----+----+-----
13 → π(30) → 12 (Δ1)  | 23 | 29 |  - |  - |  - |  - |  - |  - |  - |10th
=======================+====+====+====+====+====+====+====+====+====+===== 1st Twin
11 → π(42)            | 31 | 37 | 41 |  - |  - |  - |  - |  - |  - |13th
-----------------------+----+----+----+----+----+----+----+----+----+----- 2nd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 |  - |  - |  - |  - |  - |17th
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 |  - |  - |  - |  - |  - |  - |20th
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
3,2 → 18+13+12 → 43  | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th
=======================+====+====+====+====+====+====+====+====+====+=====
Δ                                                            Δ
12+13+(18+18)+13+12   ← 36th-Δ1=151-1=150=100+2x(13+12)   ←   30th = 113 = 114-1
``````

It was as if some ghostly bridge across the city of Geneva, Switzerland, had permitted two photons of light nearly seven miles apart to respond simultaneously to a stimulus applied to just one of them.

Albert Einstein sneered at the very possibility of such a thing, calling it ''spooky action at a distance.'' Scientists still (somewhat shamefacedly) speak of the ''magic'' of ''quantum weirdness.'' And yet all experiments in recent years have shown that Einstein was wrong and that action at a distance is real (New York Times).

``````layer | node | sub |    i     |   f
------+------+-----+----------+-----+-----+-----+                                    ---
|      |     |    1,2:1 |   1 |  30 |  40 | 71 (2,3) ‹-------------------       |
|      |  1  +----------+-----+-----+-----+                              |      |
|  1   |     |        2 |                                                |      5¨  encapsulation
|      |-----+----------+            -----------------------------       |      |
|      |     |        3 |           |                             |      |      |
1   +------+  2  +----------+----       |       LAGGING SCHEME        |      |     ---
|      |     |        4 |           |    (Exponentiation Zone)    |      |      |
|      +-----+----------+           |                             |      |      |
|  2   |     |        5 |           ------------------------------       |      7¨  abstraction
289   |      |  3  +----------+                                                |      |
|     |      |     |        6 |  ‹---------------------------- Φ               | {6®} |
------+------+-----+----------+-----+-----                                     |     ---
|      |     |     11:7 |   5 |   9 |  14 (20) --------› ¤               |      |
|      |  4  +----------+-----+-----+-----+                              |      |
|  3   |     |     12:8 |   9 |  60 |  40 | 109 (26) «------------       |     11¨  polymorphism
|      +-----+----------+-----+-----+-----+                       |      |      |
|      |     |     13:9 |   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
2   +------|  5  +----------+-----+-----+-----+                       |      |     ---
|      |     |    14:19 |   9 |  60 |  40 | 109 (28) -------------       |      |
|      |-----+----------+-----+-----+-----+                              |      |
|  4   |     | 15,18:11 |   1 |  30 |  40 | 71 (29,30,31,32) ------------      13¨  inheritance
329   |      |  6  +----------+-----+-----+-----+                                     |
|     |      |     |    19:12 |  10 |  60 | {70} (36) -------› Φ                      |
------+------+-----+----------+-----+-----+                                          ---
``````

The twin-photon experiment by Dr. Nicolas Gisin of the University of Geneva and his colleagues was the most spectacular demonstration yet of the mysterious long-range connections that exist between quantum events, connections created from nothing at all, which in theory can reach instantaneously from one end of the universe to the other.

According to quantum mechanics, particles are simultaneously in two or more states until observed – an effect vividly captured by Schrödinger’s famous thought experiment of a cat that is both live and dead simultaneosly.

Importantly, there is also no conflict with special relativity, which forbids faster-than-light communication. The fact that measurements over vast distances are correlated does not imply that information is transmitted between the particles. Two parties far apart performing measurements on entangled particles cannot use the phenomenon to pass along information faster than the speed of light. (Astronomy).

### Dark Energi

Our results show that about 69% of our universe’s energy is dark energy. They also demonstrate, once again, that Einstein’s simplest form of dark energy – the cosmological constant – agrees the most with our observations (The Conversation).

Many physicists aren’t satisfied with this explanation, though. They want a more fundamental description of its nature. Is it some new type of energy field or exotic fluid? Or is it a sign that Einstein’s equations of gravity are somehow incomplete? What’s more, we don’t really understand the universe’s current rate of expansion (The Conversation).

The multiverse is a hypothetical group of multiple universes. Together, these universes comprise everything that exists: the entirety of space, time, matter, energy, information, and the physical laws and constants that describe them. The different universes within the multiverse are called "parallel universes", "other universes", "alternate universes" (Wikipedia).

102 = 2 + 100 = 2 + 60 + 40

💎 🚀 🔨 📂
12
1
rotation
intro

# Rotation vs Revolution

``````---+-----+-----
1 | {1} | {2}
---+-----+-----
2 |  3  | 101
---+-----+-----
3 |{102}| 111
---+-----+-----
``````

In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors.

In some areas, tensor fields are so ubiquitous that they are often simply called "tensors". Tullio Levi-Civita and Gregorio Ricci-Curbastro popularised tensors in 1900 – continuing the earlier work of Bernhard Riemann and Elwin Bruno Christoffel and others – as part of the absolute differential calculus. The concept enabled an alternative formulation of the intrinsic differential geometry of a manifold in the form of the Riemann curvature tensor (Wikipedia).

A Riemann surface is a “universe” locally modelled on open sets in the complex plane, and equipped with extra structure so that complex analysis can be done. Polynomial equations in two variables define special Riemann surfaces, called plane curves, such asthe “circle” z2 + w2 = 1, ( rotating the w-plane), the “cubic” z3 + w2 = 1, the “nodal cubic” z3 + z2 = w2, and the “Fermat quartic” z4 + w4 = 1 (Pinterest).

## Moon’s orbit

``````1 year = 12 months
1000 years = 12,000 months

c = 12,000 x L / t
= 12,000 x 2152612.336257 km / 86164.0906 sec
= 299,792.4998 km / sec

Note:
Te = earth revolution = 365,25636 days
R = radius of moon rotation to earth = 384,264 km
V = moon rotation speed = 2πR/Tm = 3682,07 km/hours
Ve = excact speed = V cos (360° x Tm/Te) = V cos 26,92848°
Tm = moon revolution (sidereal) = 27,321661 days = 655,719816 hours
t = earth rotation (sinodik) = 24 hours = 24 x 3600 sec = 86164.0906 sec
L = Ve x Tm = 3682,07 km/hours x cos 26,92848° x 655,71986 = 2152612.336257 km
``````

So by the theory of E=mc² to raise up a particle on earth it should be a groups of galaxies that rationaly and irrationaly parallel to its position in our Solar system. It was predicted that we have 1012 stars in our galaxy and 2×1012 galaxies in the universe.

In 2016, using 20 years of images from the Hubble space telescope, it was estimated that there were in total two trillion (2×1012) or more galaxies in the observable universe, and as many as an estimated 1×1024 stars (more stars than all the grains of sand on all beaches of the planet Earth) (Wikipedia)

Recent observation and a census from NASA Hubble Telescope together with other observatories show that observable Universe may contain 10 times more Galaxies than previous estimates! So remember, this number won't get the end story.

286 - (231x5)/(11x7) = 286 - 1155/77 = 286 - 15 = 200 + 71 = 271

``````-----+-----+-----+-----+-----+                                               ---
19¨ |  3¨ |  4¨ |  6¨ |  6¨ | 4¤                                             |
-----+-----+-----+-----+-----+                                                |
17¨ | {5¨}| {3¨}|  2¨ |  7¨ | 4¤                                             |
+-----+-----+-----+-----+                                                |
{12¨}|  6¨ |  6¨ |  2¤ (M dan F)                                              |
+-----+-----+-----+                                                     17¤
11¨ |  3¨ | {3¨}| {5¨}| 3¤                                                   |
-----+-----+-----+-----+-----+                                                |
19¨ |  4¨ |  4¨ |  5¨ |  6¨ | 4¤                                             |
+-----+-----+-----+-----+                                               ---
{18¨}|  5¨ |  5¨ |  8¨ | 3¤                                                   |
+-----+-----+-----+-----+-----+-----+-----+-----+-----+                 12¤
43¨ | {3¨}| {5¨}|  5¨ | {5¨}| {3¨}|  7¨ | {5¨}| {3¨}|  7¨ | 9¤ (C1 dan C2)   |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+                 ---
139¨ |-----  13¨  -----|------ 15¨ ------|------ 15¨ ------|
|  1     2     3  |  4     5     6  |  7     8     9  |
Δ                 Δ                 Δ
``````

``````layer | node | sub |    i     |   f
------+------+-----+----------+-----+-----+-----+                                    ---
|      |     |    1,2:1 |   1 |  30 |  40 | 71 (2,3) ‹-------------------       |
|      |  1  +----------+-----+-----+-----+                              |      |
|  1   |     |        2 |                                                |      5¨  encapsulation
|      |-----+----------+            -----------------------------       |      |
|      |     |        3 |           |                             |      |      |
1   +------+  2  +----------+----       |       LAGGING SCHEME        |      |     ---
|      |     |        4 |           |    (Exponentiation Zone)    |      |      |
|      +-----+----------+           |                             |      |      |
|  2   |     |        5 |           ------------------------------       |      7¨  abstraction
289   |      |  3  +----------+                                                |      |
|     |      |     |        6 |  ‹---------------------------- Φ               | {6®} |
------+------+-----+----------+-----+-----                                     |     ---
|      |     |     11:7 |   5 |   9 |  14 (20) --------› ¤               |      |
|      |  4  +----------+-----+-----+-----+                              |      |
|  3   |     |     12:8 |   9 |  60 |  40 | 109 (26) «------------       |     11¨  polymorphism
|      +-----+----------+-----+-----+-----+                       |      |      |
|      |     |     13:9 |   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
2   +------|  5  +----------+-----+-----+-----+                       |      |     ---
|      |     |    14:19 |   9 |  60 |  40 | 109 (28) -------------       |      |
|      |-----+----------+-----+-----+-----+                              |      |
|  4   |     | 15,18:11 |   1 |  30 |  40 | 71 (29,30,31,32) ------------      13¨  inheritance
329   |      |  6  +----------+-----+-----+-----+                                     |
|     |      |     |    19:12 |  10 |  60 | {70} (36) -------› Φ                      |
------+------+-----+----------+-----+-----+                                          ---
``````

💎 🚀 🔨 📂
13
1
zeta
intro

# Zeta vs Zero

``````---+-----+-----
1 | 1   | 18
---+-----+-----
2 | 19  | 29
---+-----+-----
3 | {30}|{43}
---+-----+-----
``````
``````Scheme 13:9
===========
(1){1}-7:   7’
(1){8}-13:  6‘
(1)14-{19}: 6‘
------------- 6+6 -------
(2)20-24:   5’           |
(2)25-{29}: 5’           |
------------  5+5 -------
(3)30-36:   7:{70,30,10²}|
------------             |
(4)37-48:   12• ---      |
(5)49-59:   11°    |     |
--}30° 30•   |
(6)60-78:   19°    |     |
(7)79-96:   18• ---      |
--------------           |
(8)97-109:  13           |
(9)110-139:{30}=5x6 <--x-
--
{43}
``````

1155 / 5 = 286 - 55 = 200 + 31 = 231

``````layer|  i    |   f
-----+-------+------
| 1,2:1 | (2,3)
1  +-------+
| 3:2   | (7)
-----+-------+------
| 4,6:3 | (10,11,12)  <--- 231 (3x)
2  +-------+
|{7}:4  |({13})
-----+-------+------
| 8,9:5 | (14,{15})   <--- 231 (2x)
3  +-------+
| 10:6  | (19)
-----+-------+------
``````

139 = 34th prime =(2x17)th prime

We study the limit shape of the generalized Young diagram when the tensor power N and the rank n of the algebra tend to infinity with N/n fixed. We derive an explicit formula for the limit shape and prove convergence to it in probability. We prove central limit theorem for global fluctuations around the limit shape (arXiv:2010.16383v4).

``````True Prime Pairs:
(5,7), (11,13), (17,19)

|------------------------- Skema-12 ------------------------|
|------------ 6¤ -------------|------------- 6¤ ------------|
|--------------------------- 192 ---------------------------|
|---- {23} ----|---- {49} ----|-- {29} -|--{30} --|-- 61 ---|
+----+----+----+----+----+----+----+----+----+----+----+----+
|  5 |  7 | 11 |{13}| 17 | 19 | 17 |{12}| 11 | 19 | 18 | 43 |
+----+----+----+----+----+----+----+----+----+----+----+----+
|---------  5¤  ---------|---- {48} ----|----- {48} ---|{43}|
|---------  5¤  ---------|------------ {96} -----------|{43}|
|--------- {53} ---------|-------------- {139} -------------|
|------- Skema-23 -------|------------- Skema-34 -----------|
``````

``````|------------ 36' --------------|----------------------------36' ----------------------------|
|     19'     |        17'      |      13'     |      11'     |       7'      |       5'     |
+---+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
| 1 |  2 |  3 | 4 |  5 |  6 | 7 | 8 |  9 |  10 | 11 | 12 | 13 | 14 | 15 |  16 | 17 | 18 | 19 |
+---+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
| 2 | 60 | 40 | 1 | 30 | 30 | 5 | 1 | 30 | 200 |  8 | 40 | 50 |  1 | 30 | 200 |  8 | 10 | 40 |
+---+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
| ° |ΔΔΔΔ  ΦΦ | •   ΔΔ   ΔΔ   ¤ | •   ΔΔ   ΦΦΦ    Φ   ΦΦ  ¤¤¤¤|  •   ΔΔ   ΦΦΦ    Φ   ¤¤   ΦΦ |

|---- 102  ---|-----  66  ------|-------- 329 = 7 x 47 -------|- 289 = (8+9)² = 2 & (2³+9²) -|
|--2x3x(8+9)--|--- 2x3x(2+9) ---|---- (1+2) & (2x9)+(2+9) ----|------ 2 & (8x9)+(8+9) -------|
|-------- 168 = π(1000) --------|------ 1229 = π(10000) ------|------ π(89²) = 1000 ---------|
|-------- 168 = π(618xΦ) -------|----- 618 = 1000/Φ = 1000x1000/1618 = 10^6/(2x8)&(2x9) -----|
``````

919 = 1 + 6(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17) = 1 + 6(153)

286 - (231x5)/(11x7) = 286 - 1155/77 = 286 - 15 = 200 + 71 = 271

``````  -----------------------+----+----+----+----+----+----+----+----+----+-----
True Prime Pairs Δ    |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | Sum
=======================+====+====+====+====+====+====+====+====+====+=====
19 → π(10)            |  2 |  3 |  5 |  7 |  - |  - |  - |  - |  - | 4th  4 x Root
-----------------------+----+----+----+----+----+----+----+----+----+-----
17 → π(20)            | 11 | 13 | 17 | 19 |  - |  - |  - |  - |  - | 8th  4 x Twin
-----------------------+----+----+----+----+----+----+----+----+----+-----
13 → π(30) → 12 (Δ1)  | 23 | 29 |  - |  - |  - |  - |  - |  - |  - |10th ←------------ 10
=======================+====+====+====+====+====+====+====+====+====+===== 1st Twin
11 → π(42)            | 31 | 37 | 41 |  - |  - |  - |  - |  - |  - |13th
-----------------------+----+----+----+----+----+----+----+----+----+----- 2nd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 |  - |  - |  - |  - |  - |17th
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 |  - |  - |  - |  - |  - |  - |20th ←------------ 20
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
3,2 → 18+13+12 → 43  | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th ------------→ 30
=======================+====+====+====+====+====+====+====+====+====+=====  ←-- bilateral 9 sums
3,2 → 18+13+12 → 43  | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th ------------→ 30
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 |  - |  - |  - |  - |  - |  - |20th ←------------ 20
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 |  - |  - |  - |  - |  - |17th
``````

These objects will then behave as a complex numbers that leads to trivial and complex roots of the 18th prime identity. Since the arithmetic mean of those primes yields 157 then the existence of 114 will remain to let this 18+19=37th prime number stands as the balanced prime.

Input (12) + Query (15) + Result (19) + Ouput (22) = Total 68 Objects

``````layer | node | sub |    i     |   f
------+------+-----+----------+-----+-----+-----+                                    ---
|      |     |    1,2:1 |   1 |  30 |  40 | 71 (2,3) ‹-------------------       |
|      |  1  +----------+-----+-----+-----+                              |      |
|  1   |     |        2 |                                                |      5¨  encapsulation
|      |-----+----------+            -----------------------------       |      |
|      |     |        3 |           |                             |      |      |
1   +------+  2  +----------+----       |       LAGGING SCHEME        |      |     ---
|      |     |        4 |           |    (Exponentiation Zone)    |      |      |
|      +-----+----------+           |                             |      |      |
|  2   |     |        5 |           ------------------------------       |      7¨  abstraction
289   |      |  3  +----------+                                                |      |
|     |      |     |        6 |  ‹---------------------------- Φ               | {6®} |
------+------+-----+----------+-----+-----                                     |     ---
|      |     |     11:7 |   5 |   9 |  14 (20) --------› ¤               |      |
|      |  4  +----------+-----+-----+-----+                              |      |
|  3   |     |     12:8 |   9 |  60 |  40 | 109 (26) «------------       |     11¨  polymorphism
|      +-----+----------+-----+-----+-----+                       |      |      |
|      |     |     13:9 |   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
2   +------|  5  +----------+-----+-----+-----+                       |      |     ---
|      |     |    14:19 |   9 |  60 |  40 | 109 (28) -------------       |      |
|      |-----+----------+-----+-----+-----+                              |      |
|  4   |     | 15,18:11 |   1 |  30 |  40 | 71 (29,30,31,32) ------------      13¨  inheritance
329   |      |  6  +----------+-----+-----+-----+                                     |
|     |      |     |    19:12 |  10 |  60 | {70} (36) -------› Φ                      |
------+------+-----+----------+-----+-----+                                          ---
``````

As you can see, starting with 1, and doubling it (1+1) we got 2, again, doubling 2 (2+2) we got 4. Further doubling 32 (32+32) we got 64 and summing up 6+4 gave us 10 which again summing up the two digits gave us 1. If you keep following this pattern, It will always give us the digits 1, 2, 4, 5, 7, 8. Even summing 7+7 gives 14 which further gives 5 (1+4).

Based on Prime (7): 142857 then id: 28 from the last case will end up in id: 57 i.e. in the flowchart so that in turn they can point us to the algorithm tensor from the stop point to id: 114 on the third screen.

``````                                |                              ----------- 5 -----------
|                             |                         |
↓                             ↑                         ↓
|   mapping    |     feeding     |  lexering    |  parsering   |   syntaxing   |  grammaring  |
|------------- 36' --------------|----------------------------36' ----------------------------|
|     19'      |        17'      |      13'     |      11'     |       7'      |       5'     |
+----+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
|  1 |  2 |  3 | 4 |  5 |  6 | 7 | 8 |  9 |  10 | 11 | 12 | 13 | 14 | 15 |  16 | 17 | 18 | 19 |
+----+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
|  2 | 60 | 40 | 1 | 30 | 30 | 5 | 1 | 30 | 200 |  8 | 40 | 50 |  1 | 30 | 200 |  8 | 10 | 40 |
+----+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
↓                             ↑                         |    |
|                             |                         |    |
------------ 10 -------------                          |    |
↓    ↓ |
+----+----+----+---+----+----+---+
|  2 | 60 | 40 | 1 | 30 | 30 | 5 |
+----+----+----+---+----+----+---+
|    | |
2+100 ◄-
-----------------------+----+----+----+----+----+----+----+----+----+-----           |
True Prime Pairs Δ    |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | Sum             |
=======================+====+====+====+====+====+====+====+====+====+=====            ↓
19 → π(10)            |  2 |  3 |  5 |  7 |  - |  - |  - |  - |  - | 4th  ◄- 4 =  π(10)
-----------------------+----+----+----+----+----+----+----+----+----+-----
``````

Consider that all creatures will go mature just like our body which is stop growing in a certain of condition. Therefore an instance will become an inside container by leaving the central as black hole and derived all of residual objects to outer level. This is what the ten (10) digits of 0719425863 in Euler's number got something to do.

(1729 + 571 - 500) / (157 - 57) = 1800 / 100 = 18th prime identity = 110 objects

The above 0719425863 is implicity state the identity of seven (7) after zero (0). By the prime hexagon, it match with the 0th-step of 18 identities and 1st-step of the seven (7) prime identities from 19th to 25th. So when it goes to four (4) prime identities from 26th and end up to the 29th it will open up a gap at the 27th which linkages with the 110 objects of the 18th.

💎 🚀 🔨 📂
14
1
antiparalel
intro

# Anti Parallel

``````---+-----+-----
1 | 1   | 4
---+-----+-----
2 |{5}  |{8}
---+-----+-----
3 | 9   |{17}
---+-----+-----
4 |{18} |{23}
---+-----+-----
5 | 24  | 27
---+-----+-----
6 | 28  | 34
---+-----+-----
7 |{35} |{41}
---+-----+-----
8 |{42} |{52}
---+-----+-----
``````

## 19 vs 18 Scenario

Thus in short here below is all the method that we called as the 19 vs 18 Scenario of mapping the quantum way within a huge of primes objects (5 to 19) by lexering (11) the ungrammared feed (7) and parsering (13) across syntax (17).

[(6 + 6) x 6] + [6 + (6 x 6)] = 72 + 42 = 71 + 42 + 1 = 114 objects

``````The Prime Recycling ζ(s):
(2,3), (29,89), (36,68), (72,42), (100,50), (2,3), (29,89), ...**infinity**
----------------------+-----+-----+-----+                                    ---
7 --------- 1,2:1|   1 |  30 |  40 | 71 (2,3) ‹-------------@----        |
|                +-----+-----+-----+-----+                        |      |
|  8 ‹------  3:2|   1 |  30 |  40 |  90 | 161 (7) ‹---           |      5¨  encapsulation
|  |             +-----+-----+-----+-----+             |          |      |
|  |  6 ‹-- 4,6:3|   1 |  30 | 200 | 231 (10,11,12) ‹--|---       |      |
|  |  |          +-----+-----+-----+-----+             |   |      |     ---
--|--|-----» 7:4|   1 |  30 |  40 | 200 | 271 (13) --›    | {5®} |      |
|  |          +-----+-----+-----+-----+                 |      |      |
--|---› 8,9:5|   1 |  30 | 200 | 231 (14,15) ---------›       |      7¨  abstraction
289        |          +-----+-----+-----+                              |      |
|          ----› 10:6|  ----------------------------› Φ               | {6®} |
--------------------+-----+-----+-----+                              |     ---
67 --------› 11:7|   5 |   9 |  14 (20) --------› ¤               |      |
|                +-----+-----+-----+                              |      |
|  78 ‹----- 12:8|   9 |  60 |  40 | 109 (26) «------------       |     11¨  polymorphism
|  |             +-----+-----+-----+                       |      |      |
|  |  86‹--- 13:9|   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
|  |  |          +-----+-----+-----+                       |      |     ---
|  |   ---› 14:10|   9 |  60 |  40 | 109 (28) -------------       |      |
|  |             +-----+-----+-----+                              |      |
|   ---› 15,18:11|   1 |  30 |  40 | 71 (29,30,31,32) ----------        13¨  inheritance
329  |                +-----+-----+-----+                                     |
|   ‹--------- 19:12|  10 |  60 | {70} (36) ‹------- Φ                      |
-------------------+-----+-----+                                          ---
786 ‹------- 20:13|  90 |  90 (38) ‹-------------- ¤                      |
|                +-----+-----+                                           |
| 618 ‹- 21,22:14|   8 |  40 |  48 (40,41) ‹----------------------      17¨  class
|  |             +-----+-----+-----+-----+-----+                  |      |
|  | 594 ‹- 23:15|   8 |  40 |  70 |  60 | 100 | 278 (42) «--     |{6'®} |
|  |  |          +-----+-----+-----+-----+-----+             |    |     ---
--|--|-»24,27:16|   8 |  40 |  48 (43,44,45,46) ------------|----       |
|  |          +-----+-----+                               |           |
--|---› 28:17| 100 | {100} (50) ------------------------»           19¨  object
168        |          +-----+                                                 |
|         102 -› 29:18| 50  | 50(68) ---------> Δ18                           |
----------------------+-----+                                                ---
``````

## Historical Events

William Delbert Gann is perhaps the most mysterious of all the famous traders in history. Known for using geometry, astrology and ancient mathematics to predict events in the financial markets and historical events, evenso influences on the weather.

11 x 30 = 330 = 329 + 1

In March, Saturn was at 224° and Venus was at 344°. The corn top price was ¢137, which was around 104°,
thus the three points loosely formed a Grand Trine (Wikipedia).

1 container + 7 blocks + 29 flats + 77 rooms = f(0719425863) + 7 blocks + 29 flats + 77 rooms = 114 objects

[]

## Balanced Structural

For starters, it possesses a perfectly balanced structural and numeric symmetries. So it conforms the intervals between the prime roots of the Prime Spiral Sieve (and every subsequent row or rotation of the sieve) with the period eight (8) difference sequence.

Φ(10,2) = 10² + 2x(10th prime) + 10¹ = 100+29 + 29+10 = 129 + 39 = 168 = π(1000)

To represent as a gap then this drive is supposed to not exist phisically by a computer, this could be replaced by special folders using shared drives such as Google Drive that you can use to store, search, and access files with a team.

As of May 2022, shared drives are available to Google Workspace accounts including Education Fundamentals, Teaching & Learning Upgrade, Standard, and Plus, Nonprofits, Business Standard and Plus, Enterprise, and G Suite Business; Essentials.

It is also a form of the existence of DNA. The topology of DNA refers to the specific spatial structure formed by further distortion on the basis of the DNA double helix. Superhelical structure is the main form of topology, which can be divided into positive supercoil and negative supercoil, under corresponding conditions, they can transform each other.

Gann was a very devout man and honestly believed that he had found the key to predictable markets because of his study of the Bible in conjunction with his (supposed) study of many esoteric math theory from Greece and Egypt and his study of astrology.

It may take many years of serious study to master it. And most of the methods available online doesnt have anything to do with Gann. His books are also just means to put in the right path.

Even though Gann was thought to be "religious", a careful analysis of his writings finds that he did not agree with the conventional Christian teachings (Wikipedia).

Real mastery and understanding is still programmed in such a way that only the most qualified and determined candidates could learn it and keep it remain as a secret, just as he desired.

💎 🚀 🔨 📂
15
1
gap
intro

# Mass vs Gap (Δ)

This section will be the last one of our presentation of 18th prime identity. Here we are going to explain one more item that is still open or undiscussed which is about what the 77 objects are going to do within the 19 vs 18 Scenario.

15 + 35 + 28 = 15 + 63 = 78 = 77 + 1

``````---+-----+-----
1 | 1   | 15
---+-----+-----
2 | 16  | 25
---+-----+-----
3 | 26  | 50
---+-----+-----
4 | 51  | 84
---+-----+-----
5 | 85  | 99
---+-----+-----
``````
``````\$True Prime Pairs:
(5,7), (11,13), (17,19)

layer|  i  |   f
-----+-----+---------
|  1  | 5
1  +-----+
|  2  | 7
-----+-----+---  } 36 » 6®
|  3  | 11
2  +-----+
|  4  | 13
-----+-----+---------
|  5  | 17
3  +-----+     } 36 » 6®
|  6  | 19
-----+-----+---------
``````

In many ways, a black hole acts like an ideal black body, as it reflects no light. Here is an animated simulation of a Schwarzschild black hole with a galaxy passing behind. Around the time of alignment, extreme gravitational lensing of the galaxy is observed.

``````                largest part=21 → 11+13+12=36 →  MEC30
↓                      |
---+-----+-----+-----+-----+                   ↓
1 | 19  | 1   | 20  | 21  |-------------------|-----
---+-----+-----+-----+-----+                   ↓     |
2 | 18  | 21  | 39  | 60  |-------------------      |
---+-----+-----+-----+-----+                   |     |
3 |{63} | 40  | 103 | 143 |-------------      |     |
---+-----+-----+-----+-----+             |     |     |
4 | 37  | 104 | 141 | 245 |-------      |     |     |
---+-----+-----+-----+-----+       |     |     |     |
5 | 10* | 142 | 152 | 294 |- 11** | 13  | 12  | 12  | 18
---+-----+-----+-----+-----+       |     |     |     |
6 | 24  | 153 | 177 | 332 |-------      |     |     |
---+-----+-----+-----+-----+             |     |     |
7 | 75  | 178 | 253 | 431 |-------------      |     |
---+-----+-----+-----+-----+                   |     |
8 | 30  | 254 | 284 | 538 |-------------------      |
---+-----+-----+-----+-----+                   ↓     |
9 | 1   | 285 | 286 | 571 |-------------------|-----
===+=====+=====+=====+=====+                   ↓
45 | 277 |                      ← 11+13+12=36 ←  MEC30
---+-----+                                     |
↑
Note:
10* stands as the central rank
11** stands as the central parts
``````

According to the observations made by NASA, Astronomers have uncovered TON 618 as the record breaking supermassive black hole, weighing 66 trillion and brilliantly as 140 trillion times that of the Sun, making it one of the brightest object in the Universe.

If the statement that it is indeed located at the center of our universe then the said black hole would behave as the exchange position between twin (2) universes. This would for sure strengthen the syntax algorithm of our implementation.

7 x 11 = 77 = 99 - 22 = 11 x (9 -2)

``````  #8  |------- 5® --------|------------ 7® --------------|
| 1 |-------------- 77 = 4² + 5² + 6² -------------|
------+---|---+---+---+---+---+---+---+---+----+----+----+
repo |{1}|{2}| 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |{12}| 1,77
------+---|---+---+---+---+---+---+---+---+----+----+----+
user | 7 | - | - | - | - | 7 | 8 | - | - |  8 |  8 |  3 |
------+---|---+---+---+---+---+---+---+---+----+----+----+ 7,78
main | - | 9 | 7 | 9 | 6 | - | - | 8 | 5 |  - |  - |  - |
------+---|---+---+---+---+---+---+---+---+----+----+----+
Δ | Δ             |                      Δ  |   Δ
Φ17|Φ29            |                    96-99|  100 - 123 ({24})
|--- A,T,G,C ---|                         |  └── 100 - 103 (4x) » 100
Δ    2x2 = 4x   |-------  2x3 = 6x -------|  └── 104 - 109 (6x) » 30
{98}                                       |  └── 110 - 123 (14x)» 70

``````
```Direction:
- The initial of 168 & 329 brings the 102 as 100+2 to π(π(10000))-1=200 or 100 x 2.
- Then the 289 lets this 100x2 to 100² so it brings 100 to 10000 by the power of 2.
- At the last it will be separated by the scheme of 168 to 102 goes back 100 and 2.

Conclution:
- All of the other primes than 2 is 1 less than the number n times the number of 2.
- Those Mersenne primes is generated as 1 less than the power n of the number of 2.
- Thus they will conseqently be carried out by the same scheme of this number of 2.```

Perceptually, everything is separate and finite. But actually, everything is connected and infinite. It is this infinite connection, despite our limited finite perceptions, that makes us one with the cosmos.

## Primes Platform

Each result goes to the 9th object of prime 67 which is 19th prime. This mass gap of (Δ > 0) is actually the quantum way of our algorithm which is discused in details by the 19th prime identity.

So when the cycle has passed the 10th object then the 43 objects will be laid by 9 collumns and slightly forming bilateral 9 sum which facilitate them to finaly generate 1000 primes.

1 instance + 7 blocks + 29 flats + 77 rooms = 114 objects

``````True Prime Pairs:
(5,7), (11,13), (17,19)

-----+-----+-----+-----+-----+     -----------------------------------------------
{786}| 1,2 |  2  | 2,3 | 3,4 | {19}                                          |
-----+-----+-----+-----+-----+                                               |
{86}|  4  | 4,5 | 5,6 |{6,7}| 17                                        Base Zone
+-----+-----+-----+-----+                                               |
{78}|{7,8}| 8,9 | 12 (M dan F) ----> Δ                                      |
+-----+-----+-----+                                               -----------
{67}| 9,11|11,12|12,14| 11 <----------- Mid Zone                            |
----+-----+-----+-----+-----+                                               |
{6}|15,16|17,18|18,20|21,22| 19                                      Mirror Zone
+-----+-----+-----+-----+                                               |
{8}|23,25|25,27|27,29| 18                                                  |
+-----+-----+-----+-----+-----+-----+-----+-----+-------+         -----------
{7}|29,33|33,36|36,39|39,41|41,45|46,51|51,57|58,66|{67,77}| 43 (C1 dan C2)<---Δ
-----+-----+-----+-----+-----+-----+-----+-----+-----+-------+         -----------
|  1     2     3  |   4     5     6 |   7     8      9  |
|------ 29' ------|--------------- 139' ----------------|
|------ 102¨ -----|---------------  66¨ ----------------|
``````

When recombination is occur then the prime 13 is forced to → 12 where the impact (Δ1) goes to 18+13+12=43 on the last 7th row forming the Primes Platform. Thus we got 109 objects including for the 7 rows back to the original stage.

``````  Tabulate Prime by Power of 10
loop(10) = π(10)-π(1) = 4-0 = 4
loop(100) = π(100)-π(10)-1th = 25-4-2 = 19
loop(1000) = π(1000) - π(100) - 10th = 168-25-29 = 114

-----------------------+----+----+----+----+----+----+----+----+----+-----
True Prime Pairs Δ    |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | Sum
=======================+====+====+====+====+====+====+====+====+====+=====
19 → π(10)            |  2 |  3 |  5 |  7 |  - |  - |  - |  - |  - | 4th  4 x Root
-----------------------+----+----+----+----+----+----+----+----+----+-----
17 → π(20)            | 11 | 13 | 17 | 19 |  - |  - |  - |  - |  - | 8th  4 x Twin
-----------------------+----+----+----+----+----+----+----+----+----+-----
13 → π(30) → 12 (Δ1)  | 23 | 29 |  - |  - |  - |  - |  - |  - |  - |10th
=======================+====+====+====+====+====+====+====+====+====+===== 1st Twin
11 → π(42)            | 31 | 37 | 41 |  - |  - |  - |  - |  - |  - |13th
-----------------------+----+----+----+----+----+----+----+----+----+----- 2nd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 |  - |  - |  - |  - |  - |17th
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 |  - |  - |  - |  - |  - |  - |20th
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
3,2 → 18+13+12 → 43  | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th
=======================+====+====+====+====+====+====+====+====+====+=====
Δ                                                            Δ
12+13+(18+18)+13+12   ← 36th-Δ1=151-1=150=100+2x(13+12)   ←   30th = 113 = 114-1

Sequence:
By the next layer the 89² will become 89 and 5 become 5² or 25.
This 89 and 25 are in the same layer with total of 114 or prime 619
So sequence from the first prime is 1,4,7,10,29,68,89,114,139,168,329,618.
``````

[(6 + 6) x 6] + [6 + (6 x 6)] = 72 + 42 = 71 + 42 + 1 = 114 objects

``````The Prime Recycling ζ(s):
(2,3), (29,89), (36,68), (72,42), (100,50), (2,3), (29,89), ...**infinity**
----------------------+-----+-----+-----+                                    ---
7 --------- 1,2:1|   1 |  30 |  40 | 71 (2,3) ‹-------------@----        |
|                +-----+-----+-----+-----+                        |      |
|  8 ‹------  3:2|   1 |  30 |  40 |  90 | 161 (7) ‹---           |      5¨  encapsulation
|  |             +-----+-----+-----+-----+             |          |      |
|  |  6 ‹-- 4,6:3|   1 |  30 | 200 | 231 (10,11,12) ‹--|---       |      |
|  |  |          +-----+-----+-----+-----+             |   |      |     ---
--|--|-----» 7:4|   1 |  30 |  40 | 200 | 271 (13) --›    | {5®} |      |
|  |          +-----+-----+-----+-----+                 |      |      |
--|---› 8,9:5|   1 |  30 | 200 | 231 (14,15) ---------›       |      7¨  abstraction
289        |          +-----+-----+-----+-----+-----+                  |      |
|          ----› 10:6|  20 |   5 |  10 |  70 |  90 | 195 (19) --› Φ   | {6®} |
--------------------+-----+-----+-----+-----+-----+                  |     ---
67 --------› 11:7|   5 |   9 |  14 (20) --------› ¤               |      |
|                +-----+-----+-----+                              |      |
|  78 ‹----- 12:8|   9 |  60 |  40 | 109 (26) «------------       |     11¨  polymorphism
|  |             +-----+-----+-----+                       |      |      |
|  |  86‹--- 13:9|   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
|  |  |          +-----+-----+-----+                       |      |     ---
|  |   ---› 14:10|   9 |  60 |  40 | 109 (28) -------------       |      |
|  |             +-----+-----+-----+                              |      |
|   ---› 15,18:11|   1 |  30 |  40 | 71 (29,30,31,32) ----------        13¨  inheritance
329  |                +-----+-----+-----+                                     |
|   ‹--------- 19:12|  10 |  60 | {70} (36) ‹--------------------- Φ        |
-------------------+-----+-----+                                          ---
786 ‹------- 20:13|  90 |  90 (38) ‹-------------- ¤                      |
|                +-----+-----+                                           |
| 618 ‹- 21,22:14|   8 |  40 |  48 (40,41) ‹----------------------      17¨  class
|  |             +-----+-----+-----+-----+-----+                  |      |
|  | 594 ‹- 23:15|   8 |  40 |  70 |  60 | 100 | 278 (42) «--     |{6'®} |
|  |  |          +-----+-----+-----+-----+-----+             |    |     ---
--|--|-»24,27:16|   8 |  40 |  48 (43,44,45,46) ------------|----       |
|  |          +-----+-----+                               |           |
--|---› 28:17| 100 | {100} (50) ------------------------»           19¨  object
168        |          +-----+                                                 |
|         102 -› 29:18| 50  | 50(68) ---------> Δ18                           |
----------------------+-----+                                                ---
``````

The above is observed following the W0 (assumptions of relativistic quantum mechanics) for the Existence and Mass Gap which transform under the homogeneous group as a four-vector and has a mass gap Δ > 0.

Yang–Mills Existence and Mass Gap. Prove that for any compact simple gauge group G, a non-trivial quantum Yang–Mills theory exists on R^4 and has a mass gap Δ > 0 (Wikipedia).

## Everything is linked

The ζ(s) will behave as the other universe (not the twin) which was initiated paralelly by a big bang. While this parts are relativity young. it will continue to grow as a four-vector. So it will need a gap between each identities to proceed the thing.

Once a black hole has formed, it can continue to grow by absorbing additional matter. Any black hole will continually absorb gas and interstellar dust from its surroundings. This growth process is one possible way through which some supermassive black holes may have been formed (Wikipedia)

By our universe it could be represented by the central black hole which is very strong to throw away every objects but it has no resistance against any exchange from the other universe.

In quantum field theory, the mass gap is the difference in energy between the lowest energy state, the vacuum, and the next lowest energy state. The energy of the vacuum is zero by definition, and assuming that all energy states can be thought of as particles in plane-waves, the mass gap is the mass of the lightest particle (Wikipedia).

So by the ζ(s) then our multiverse is belong to a group of multiple universes inside the lightest particle of a mass gap out of one of the like of them somewhere in an infinite number of another parallel universes.

Another suggestion which has just yet been in a topic of the science is that the similar behaviour also happen by particles such as hydrogen which is throwing all of the waves out of the central. So hypothetically it suppose to have a populated infinite number of its own parallel universes because whatever a smallest thing is arised, they could only exist by the same law of physics,

Wave functions of the electron in a hydrogen atom at different energy levels. Quantum mechanics cannot predict the exact location of a particle in space. The brighter areas represent a higher probability of finding the electron (Wikipedia).

Consider that this law of physics would exist everywhere. So it is also one of their law when the 1st sequence of the ten (10) digits of 0719425863 in Euler's number is zero (0). Thus theoretically it speaks if an existence of everything arose from nothingness.

₠Quantum Project