Mathematical Physics

A Purely Geometric Universe: Rigorous Derivation of the Spacetime Normalization Equation and Macroscopic/Microscopic Physical Laws Based on Topological Residual Theory

Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge

Modern physics has long faced the dilemma of unifying quantum mechanics and general relativity, and theStandard Model contains numerous free parameters that cannot be derived from first principles. Based onthe Topological Residual Theory [1, 2], this paper establishes "spacetime fluid undergoing right-handedcylindrical helical motion at the speed of light" as the sole first postulate. We rigorously derive the purelygeometric definition of mass and establish the "Spacetime and Physical Constant Normalization Equation."Within this purely geometric framework, we completely discard a priori gravitational field assumptions andcircular reasoning. Through rigorous algebra and the principle of geometric dilution, we naturally derive themicroscopic Compton-de Broglie wavelength, the exact Planck scale, as well as macroscopic Newton's lawof universal gravitation, Kepler's Third Law, and the Schwarzschild radius of black holes. This paperdemonstrates that there are no independent physical quantities at the fundamental level of the universe;everything is a geometric and topological manifestation of the spacetime fluid. Furthermore, we provideseveral testable experimental predictions based on this theory.

Comments: 7 Pages.

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[v1] 2026-04-16 16:30:36

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