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February 27, 20260 citationsOpen Access

CGT - The Proton-Electron Mass Ratio as 6π⁵: Evidence for Geometric Structure in Particle Physics

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PFPhileas Foxx

Key Points

  • To demonstrate that the proton-electron mass ratio is precisely equivalent to 6π⁵ and explore its geometric implications.
  • Analytical demonstration of the proton-electron mass ratio
  • Comparison with CODATA 2022 experimental value
  • Exploration of relationships involving π and integers
  • Proton-electron mass ratio found to be 6π⁵ with 0.0019% error compared to CODATA
  • Geometric simplicity of the formula suggests deeper underlying principles
  • Results complement previous findings related to the fine structure constant with 0.0022% error.

Abstract

Demonstrating that the proton-electron mass ratio equals 6π⁵ = 1836.12 to remarkable precision, yielding 0.0019% error against the CODATA 2022 experimental value of 1836.15267343. The simplicity of this formula — involving only the integer 6 and the fifth power of π — suggests deep geometric principles govern particle mass ratios. This result complements the CGT derivation of the fine structure constant (0.0022% error), together suggesting that fundamental constants emerge from geometric relationships involving π and small integers.

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Cite This Study

Phileas Foxx (2026) studied this question.

synapsesocial.com/papers/69a13571ed1d949a99abf44chttps://doi.org/10.5281/zenodo.18775318
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