Part 20_Discrete Phase Invariants and the Structural Derivation of Fundamental Constants

https://youtu.be/19JxFiTTReQ?si=1MnwFM_Wry34-t2Q

https://youtu.be/7Z6qSl8orW8?si=4o-jhdAgHany5kMj

📘 Zenodo Description

"Discrete Phase Invariants and the Structural Derivation of Fundamental Constants"

This work presents a generator-driven structural derivation of selected fundamental physical constants within a discrete phase hierarchy framework referred to as Hong’s Phase-Open Dynamics (SRCD / JS–SH framework).

The construction is based on a single minimal geometric invariant:

Δϕmin⁡=π3,\Delta\phi_{\min} = \frac{\pi}{3},Δϕmin=3π,

interpreted as the smallest non-removable phase frustration under anti-phase adjacency on a closed triangular cycle.

All quantities are first processed as dimensionless ratios.
Physical constants then emerge through shell-resolved structural composition without the introduction of continuous fitting parameters.

Core Results

• Simultaneous calibration core
  A closed three-equation system yields exact structural closure for
  ccc, ℏ\hbarℏ, and GGG,
  with zero internal residual.

• Fine-structure sector (Shell-5)
  The electromagnetic coupling arises from a quartic residual structure,
  requiring a quantized lock factor

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

  The remaining deviation is interpreted as a discrete geometric subdivision
  π/36\pi/36π/36, rather than empirical tuning.

• Thermodynamic normalization (Shell-2)
  A minimal phase fraction

  ηS2=Δϕmin⁡2π=16\eta_{S2} = \frac{\Delta\phi_{\min}}{2\pi} = \frac{1}{6}ηS2=2πΔϕmin=61

  determines structural onset behavior.
  The physical Boltzmann constant remains definition-fixed under SI.

• Generator-determined momentum scale

  Λ=ℏa,EΛ≈1.18×1023 eV.\Lambda = \frac{\hbar}{a}, \quad E_\Lambda \approx 1.18\times10^{23}\,\mathrm{eV}.Λ=aℏ,EΛ≈1.18×1023eV.

  This scale provides a quantitative falsification threshold for quartic corrections.

Methodological Principles

• Dimensionless-first processing

• No empirical parameter fitting

• Shell-resolved hierarchy

• Structural black-box verification of the calibration core

All derivations are analytic and reproducible.
A minimal verification script is included in the Appendix.

Scope

This manuscript establishes internal structural closure up to Shell-5 within the SRCD hierarchy.
Higher-shell completion and generalized uniqueness proofs remain subjects of future work.