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February 22, 20260 citationsOpen Access

Part 19A Constitutional Master Equation for Physics Prime–Phase Closure, Discrete Rotation, and the Structural Origin of Fundamental Dynamics

SHSeunghyun Hong

Key Points

  • The study aims to present a constitutional framework unifying various dynamical equations under fundamental laws.
  • Introduces a prime–phase–quartic generator for phase closure and stability.
  • Presents a discrete rotational master equation governing spacetime structure and dynamics.
  • Establishes a three-layer hierarchy connecting different physical equations.
  • Shows that well-known equations like Schrödinger and Maxwell arise from a single theoretical framework.
  • Demonstrates that fundamental constants function as conversion scales rather than primitive inputs.
  • Proposes a systematic derivation process for entire classes of physical equations.

Abstract

Description This work presents a constitutional unification framework in which the standard dynamical equations of physics arise as representation-dependent limits of a small number of structurally closed master laws, rather than as independent axioms. At the core of the framework are two interlocking constitutional elements: a prime–phase–quartic generator, governing spectral admissibility, phase closure, and structural stability; a discrete rotational SRCD–JS–SH master equation, governing spacetime structure, elasticity, curvature, and conserved transport. Together, these laws generate a three-layer hierarchy: prime–phase closure → spacetime elastic dynamics → standard continuum equations. Within this hierarchy, the Schrödinger, Klein–Gordon, Maxwell, Navier–Stokes, Dirac, and Einstein equations appear as unique envelope limits of a single discrete wave–rotation constitution. No probabilistic axioms, quantization postulates, or tunable coupling constants are assumed. Fundamental constants such as ℏℏ, ccc, and GGG are shown to function as conversion scales between representations, rather than as primitive inputs. Probability and entropy emerge only as coarse-grained envelopes of unresolved phase-open dynamics. The manuscript emphasizes structural minimality, sign consistency, and derivational transparency. A systematic appendix provides derivation capsules demonstrating how entire classes of physical equations arise from the same underlying architecture. This preprint records the conceptual and mathematical foundation of the SRCD–JS–SH framework and is intended to accompany journal submissions focused on mathematical physics and foundational theory.

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Cite This Study

Seunghyun Hong (2026) studied this question.

synapsesocial.com/papers/699a9dae482488d673cd3b58https://doi.org/10.5281/zenodo.18712725
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