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Big vs Small
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big_vs_small.md

The biggest of the big vs the smallest of the small

Comparing the highlighted sentences in each article

Big

Hercules–Corona Borealis Great Wall

  • The Hercules–Corona Borealis Great Wall or simply the Great Wall is the largest known structure in the observable universe, measuring approximately 10 billion light-years in length (the observable universe is about 93 billion light-years in diameter).

Small

Planck length

  • It is possible that the Planck length is the shortest physically measurable distance, since any attempt to investigate the possible existence of shorter distances, by performing higher-energy collisions, would result in black hole production. Higher-energy collisions, rather than splitting matter into finer pieces, would simply produce bigger black holes.

How many Plank lengths are in 10 billion light years?

Let's ask ChatGPT

  • Compute how may planck lengths are in one light year. Show your work.
To compute how many Planck lengths are in one light year, we need to first understand the relevant quantities and perform the conversion. Here are the steps:

Define the relevant constants:

One light year (LY) is the distance that light travels in one year, approximately equal to 9.461 x 10^15 meters.
The Planck length (l_P) is a fundamental constant of nature, approximately equal to 1.616 x 10^-35 meters.
Calculate how many Planck lengths are in one light year:
We can use the following formula to perform the conversion:

Number of Planck lengths in one light year (N) = (One light year in meters) / (Planck length in meters)

N = (9.461 x 10^15 meters) / (1.616 x 10^-35 meters)

Now, let's calculate N:

N = (9.461 x 10^15) / (1.616 x 10^-35)
N ≈ 5.860 x 10^49

So, there are approximately 5.860 x 10^49 Planck lengths in one light year.
  • 5.860 x 10^49 * 10 billion
To multiply 5.860 x 10^49 by 10 billion (10,000,000,000), you can simply multiply the two numbers together. Here's the result:

(5.860 x 10^49) * (10 billion) = 5.860 x 10^49 * 10^10

To multiply two numbers with the same base but different exponents, you can add the exponents:

5.860 x 10^49 * 10^10 = 5.860 x 10^(49 + 10) = 5.860 x 10^59

So, the result of multiplying 5.860 x 10^49 by 10 billion is approximately 5.860 x 10^59.

Answer

  • There are 5.860 x 10^59 Planck lengths in 10 billion light years:
    • 5,860,000,000,000,000,000,000,000,000,000,000,000
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