High Energy Particle Physics

The Cubic Lattice of Particle Masses: A Logarithmic Resonance Model Based on the 3/2 Harmonic Ratio

Authors: Alberto Coe

This paper proposes a mass quantization model based on a logarithmic scaling lattice with a harmonic base of 3/2, derived from the fundamental geometric properties of a unit cube. Using the electron rest mass as the fundamental frequency, we demonstrate that elementary particle masses (quarks, leptons, and gauge bosons) and ground energy level of Hydrogen atom align with specific nodes of a lattice defined by Ek=Eref32k .A statistical analysis yields a p-value of 0.00475 , indicating a confidence level exceeding 99%.Furthermore, we introduce a novel heuristic formula relating the 3/2 ratio,the Bohr radius , the fine-structure constant and a specific mass scale M1012kg suggesting a geometric link between gravitational and electromagnetic constants.

Comments: 5 Pages.

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Submission history

[v1] 2026-04-11 16:52:34
[v2] 2026-04-18 21:48:50

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