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April 29, 2026Open Access

A Rigorous Mathematical Proof of the Uniqueness of Spacetime Dimension in YuanXian Theory: Why the Universe Must Be 64-Dimensional

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Authors

ZAZhenyuan Acharya

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Overview

Randomized trial demonstrates the necessity of a 64-dimensional spacetime, indicating a mathematical foundation for YuanXian Theory.

Key Points

  • The aim is to prove that the universe's spacetime dimension is uniquely 64-dimensional according to YuanXian Theory.
  • Constructed a rigorous mathematical proof based on four core axioms of YuanXian Theory.
  • Defined a 'YuanXian Spacetime Category' with n-dimensional manifolds satisfying specific conditions.
  • Used proof by contradiction to analyze conditions for n<64 and n>64.
  • Proved n must equal 64, as lower dimensions cannot meet information capacity requirements.
  • Showed that conditions imposed by axiom requirements cannot be satisfied for dimensions greater than 64.
  • Demonstrated that only the torus T^64 meets all necessary properties for a compact, orientable, boundaryless 64-dimensional manifold.

Cite This Study

Zhenyuan Acharya (2026) studied this question.

synapsesocial.com/papers/69f19f74edf4b4682480646ehttps://doi.org/10.5281/zenodo.19805816
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