Hong's Phase-Open Dynamics: A Structural Derivation of Fundamental Physical Constants from the JS–SH Geometry

Zenodo Submission Description (English) Title: Hong’s Phase-Open Dynamics: A Structural Derivation of Fundamental Physical Constants from the JS–SH Geometry Description: This work presents a groundbreaking unified framework, Hong's Phase-Open Dynamics, which provides a fully independent structural derivation of four fundamental physical constants: the fine-structure constant (), Planck length (a), gravitational coupling constant (G), and the speed of light (c). Departing from the traditional view that these constants are arbitrary "fitting parameters, " this research demonstrates that they emerge as mathematical necessities from a single discrete geometric framework: the JS–SH structure. Key Scientific Contributions: The JS–SH Geometric Engine: Based on a 12-neighbor spherical coordination (Kissing Number) and anti-phase coupling, we establish a discrete lattice model that serves as the hardware of physical reality. Structural Derivation of: We prove that the fine-structure constant is a quartic residual arising from structural phase mismatches, yielding a theoretical value with an error of only 0. 000097\%. Resolution of the Hierarchy Problem: By deriving the Residual Degrees of Freedom (dₑ₄ₒ = 5) through spectral constraint reduction (12 - 1 - 6 = 5), we provide a geometric explanation for the extreme weakness of gravity relative to electromagnetism. Information Depth Theory: We show that the Planck length and gravitational coupling are determined by a base structural depth of 2^144, suggesting a discrete information-theoretic origin of spacetime. Computational Verification: This submission includes the CODE 500-FINAL (Python), a unified constant generator that reproduces all physical constants using only integer-based geometric inputs, ensuring full reproducibility. This paper establishes that fundamental constants are the "structural fingerprints" of an underlying 12-neighbor phase-open system, offering a new path toward a Unified Field Theory without empirical fitting.