Harmonic Unification from Hypothesis to Dimensional Agreement

This work presents a novel unified framework in which all fundamental particle properties—mass, spin, charge, and interaction strengths—are derived from a single harmonic principle. The model posits that particle masses arise from discrete harmonic intervals in log space relative to the Higgs mass, and that physical quantities such as mixing angles, lifetimes, force strengths, and CP violation can be derived using a unified trigonometric correction function based on phase quantization.

The framework introduces no free parameters or dimensional constants beyond ℏ and c, and predicts experimental values with high precision using only integer harmonic steps. Key derivations include:

A single-phase correction function generating accurate particle masses and CKM matrix elements;

A harmonic explanation for electric charge quantization via 3:2 and 4:3 intervals;

Continuous analytic expressions for the gravitational, electromagnetic, weak, and strong force strengths, without tuning;

A dimensionless reformulation of the Standard Model Lagrangian that naturally incorporates phase quantization, gravity, and dark matter corrections.

Recent updates also address concerns regarding unit dimensionality and physical consistency, showing that all predictions can be recast in standard units (e.g., GeV, s, N) with dimensional integrity preserved.