One Postulate, 38 Equations: Unification of Physics from the Wavelength-Stretch Dynamics of Light

Abstract

This paper constructs a unified theoretical framework founded on a single fundamental postulate: continuous light propagates at a constant speed within absolute space. This postulate contains three core physical implications: the invariance of light speed, propagation continuity, and an upper limit for wavelength-stretch acceleration numerically equal to c. Starting from radiation pressure dynamics, we derive the fundamental dynamic relation of light, a new redshift formula, and the scaling law \(\bar{g}D = c^2\). Combined with energy conservation, we establish the unified mother equation:\(h\nu_0 = h\nu_0 e^{-gD/c^2} + \sqrt{p^2c^2 + m^2c^4}.\)Subjected to different physical limits, this mother equation yields 38 fundamental equations across all branches of physics, covering classical mechanics, electrodynamics, thermodynamics, statistical mechanics, fluid dynamics, special relativity, general relativity, quantum mechanics, quantum field theory, gauge theory, condensed matter physics, black hole physics, cosmology and nonlinear dynamics. The framework generates several quantitatively testable predictions, including a cosmic critical acceleration \(1.02\times10^{-10}\,\text{m/s}^2\) consistent with the galactic acceleration scale, and a QCD string tension \(0.936\,\text{GeV/fm}\) consistent with experimental measurements. All 38 equations are logically deduced from the same foundational postulate rather than artificially assembled. Keywords: absolute space; wavelength stretching; unified mother equation; cosmic redshift; scaling law \(\bar{g}D=c^2\); theoretical unification

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