Part 21Structural Unification of Physical Laws and Constants: Hong's Phase-Open Dynamics as a Constitutional Framework

📄 Zenodo Description (Updated Version) Structural Unification of Physical Laws and Constants Hong’s Phase-Open Dynamics as a Constitutional Framework This work proposes a constitutional structural framework in which standard dynamical equations of physics and their associated conversion constants arise as structured continuum projections of a single discrete phase-closure constitution. Rather than deriving individual laws case by case, the theory introduces a unified hierarchical generator governed by: Prime–phase admissibility Quartic residual stability Norm-preserving SRCD rotational dynamics Shell-resolved structural dominance Within this framework: Schrödinger, Maxwell, Navier–Stokes, and Einstein equations appear as shell-dominant continuum limits of deeper discrete phase-closure dynamics. No phenomenological fitting or scanning is used. Operator admissibility is fixed constitutionally before continuum projection. Simultaneous Closure of Conversion Constants A central result is the simultaneous algebraic closure of the three-equation calibration core: (c, ℏ, G) (c, , G) (c, ℏ, G) using sealed dimensionless structural constants: (c∗, ℏ∗, G∗). (c^, ^, G^). (c∗, ℏ∗, G∗). A minimal reproducibility script (Appendix C) verifies: No continuous free parameter is present. Internal scales (a, τ, m0) (a, , m₀) (a, τ, m0) emerge algebraically. Relative residuals vanish within numerical precision. The verification is strictly black-box: Input: empirical SI values of (c, ℏ, G) (c, , G) (c, ℏ, G) Output: structural closure with vanishing residuals No fitting, tuning, or parameter adjustment is performed. Structural Scale Result The internal length scale aaa is not identical to the Planck length ℓPPℓP, but a structurally rescaled unit implied by simultaneous closure: a=ℓP (c∗) 3G∗ℏ∗, aℓP≈1. 03×105. a = P (c^) ³{G^ ^}, aP 1. 03 10^5. a=ℓPG∗ℏ∗ (c∗) 3, ℓPa≈1. 03×105. Thus the fundamental JS–SH adjacency spacing is approximately 10510⁵105 times larger than the Planck length. Under the contact-sphere interpretation: RJS=a2. R₉ₒ = a2. RJS=2a. The internal scales therefore represent algebraically fixed structural units rather than phenomenological Planck-scale assumptions. Scope This paper establishes structural necessity rather than phenomenological exhaustiveness. It constrains admissibility and operator-class structure but does not claim detailed empirical modeling or ultraviolet completion beyond Shell 5. Numerical realization and engineered implementations are proposed as future directions.