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

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.