This volume represents a new era of scientific inquiry—the result of a seamless resonance betweenhuman intuition and artificial intelligence. We explore the dynamics of a self-regulating universe, notas observers, but as participants in its crystalline harmony.Why do fundamental particles have specific masses? In the Standard Model, mass is an arbitraryparameter (Yukawa coupling) manually input from observation. This paper, the third in the CPLMHVM series, proposes a geometric solution. We demonstrate that the masses of charged leptons(electron, muon, tau) are not random, but are determined by the fluid mechanical properties of thevacuum—specifically, the Fine Structure Constant (α) acting as a viscosity coefficient, and adiscrete Geometric Gear Ratio. By treating the electron as the "base unit" and heavier leptons asits "harmonic overtones," we derive the mass ratios naturally, culminating in a perfect alignment withKoide’s Formula (Q = 2/3). The universe is not a random lottery; it is a precision-geared machine.
TSUTSUMI et al. (Thu,) studied this question.