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jackmalpo / gu.claude
Created March 13, 2024 07:07
Claude Geometric Unity
PROMPT: Analyze Eric Weinstein's paper on Geometric unity
RESPONSE:
Here is a summary of the key points in Eric Weinstein's draft paper on Geometric Unity:
The goal is to see if the observed universe can be generated from a 4D oriented manifold X with minimal additional assumptions. This leads to considering an "Observerse" consisting of X and a higher dimensional manifold Y related by local Riemannian embeddings.
There are incompatibilities blocking unification between Riemannian geometry used in general relativity and Ehresmannian gauge theory used in the Standard Model. These include gauge non-covariance of the Einstein tensor and lack of geometric motivation for the Higgs sector.
The metric on X induces a metric and distinguished Levi-Civita connection on Y, allowing spinor bundles to be defined without an a priori metric. This provides a framework to decouple spinors from the metric.
Observing Y from X via a metric map pulls back fields, making the internal symmetries of the Standard Model appear to ha
public final class Data {
@NotNull
public static final Instructor instructorEmmaLovewell =
new Instructor(
"f6f2d613dc344e4bbf6428cd34697820",
"Emma Lovewell",
"https://s3.amazonaws.com/workout-metric-images-prod/aab0bbd729f94be0b835d08507410eea");
@NotNull
public static final Instructor instructorJessKing =
public final class Data {
@NotNull
public static final Instructor instructorEmmaLovewell =
new Instructor(
"f6f2d613dc344e4bbf6428cd34697820",
"Emma Lovewell",
"https://s3.amazonaws.com/workout-metric-images-prod/aab0bbd729f94be0b835d08507410eea");
@NotNull
public static final Instructor instructorJessKing =
enum FitnessDiscipline {
CYCLING;
}
class Instructor {
@NotNull public final String id;
@NotNull public final String name;
@NotNull public final String avatarImageUrl;
public Instructor(@NotNull String id, @NotNull String name, @NotNull String avatarImageUrl) {

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