Part 20_Hong's Phase-Open Dynamics Structural Derivation of Fundamental Constants in the SRCD JS–SH Framework

Description:

This manuscript presents a structurally closed derivation of fundamental physical constants within Hong’s Phase-Open Dynamics, formulated in the SRCD / JS–SH discrete phase hierarchy.

The construction begins from a minimal non-removable phase mismatch invariant,

Δϕmin⁡=π/3,\Delta\phi_{\min} = \pi/3,Δϕmin=π/3,

from which all quantities are processed as dimensionless ratios prior to calibration. Physical constants emerge through shell-resolved structural closure governed by discrete phase-open dynamics.

A zero-residual simultaneous calibration core uniquely determines
ccc, ℏ\hbarℏ, and GGG algebraically, without introducing any continuous free parameter.

The fine-structure sector (α,e\alpha, eα,e) arises from a quartic Shell-5 residual structure intrinsic to the discrete-to-continuum transition. A quantized structural lock factor

Flock=5π(1−1180)F_{\mathrm{lock}} = 5\pi\left(1 - \frac{1}{180}\right)Flock=5π(1−1801)

produces a relative deviation at the 10−510^{-5}10−5 level, interpreted as a discrete geometric leakage unit π/36\pi/36π/36 rather than empirical fitting.

The Boltzmann constant follows from second-shell phase normalization via the same minimal invariant.

The framework further determines a generator-fixed momentum scale

Λ=ℏ/a,\Lambda = \hbar/a,Λ=ℏ/a,

corresponding to an energy threshold

EΛ≈1.18×1023 eV,E_\Lambda \approx 1.18\times10^{23}\,\mathrm{eV},EΛ≈1.18×1023eV,

providing a quantitative falsification scale associated with quartic high-momentum corrections. No adjustable parameter is introduced.

All constants descend from a single minimal invariant and its shell-resolved structural consequences. The manuscript is self-contained and does not require prior familiarity with the broader SRCD literature.