Harmonic Resonance Theory

Harmonic Resonance Theory (HRT) proposes that particle masses, the

gravitational constant, and the dark matter abundance are not fundamental

parameters but emergent properties of a coupled two-field vacuum system

governed by parametric resonance. Starting from a single axiomatic frequency

omega_0 = 0.313 — which emerges independently from cosmological simulation

as the universe's characteristic matter fraction Omega_M — HRT derives the

complete lepton mass hierarchy, the proton-to-electron mass ratio, the Higgs

boson mass, the fine structure constant, the strong coupling constant, the

gravitational constant G, and the dark-to-baryonic matter ratio of approximately

5:1. All derivations use integer multipliers that appear independently within the

theoretical structure and were not introduced to produce the results they

generate. The gravitational constant emerges both algebraically (coupling term

divided by field axes: 20/3 = 6.667 x 10^-11) and directly from simulation band

geometry (k_n difference = 6.665 x 10^-11), providing independent

computational confirmation. Dark matter is hypothesized as the 5th undertone of

baryonic matter in the resonant cavity framework, naturally explaining both its

gravitational coupling and its electromagnetic invisibility. A seven-stage

simulation development sequence from Ginzburg-Landau phase transition

through sonic horizon analog is documented, with each stage producing results

that motivated the next. The framework makes six falsifiable predictions and

proposes the COSMOS-1 laboratory experiment as direct physical test of the

nodal coalescence mechanism.