Geometric Dynamics Unified Theory (GDUT)

Abstract

Current physics faces several fundamental unresolved problems: the lack of direct observational evidence for dark matter; a discrepancy of approximately 120 orders of magnitude between predicted and observed values for dark energy; unresolved tensions in the Hubble parameter; and the persistent incompatibility between quantum mechanics and general relativity. This paper presents a physical framework based on two geometric axioms, attempting to provide a unified description for these issues. Within this framework, without introducing dark matter particles, the cosmological constant, or extra dimensions, matter, energy, forces, the direction of time, and quantum phenomena are uniformly interpreted as different manifestations of the evolution of three-dimensional spatial curvature. Starting from the ontological definition of space, we derive a modified Ricci flow as the dynamical equation for spatial evolution, and demonstrate its natural regression to Newtonian mechanics, general relativity, quantum mechanics, and the Standard Model within their respective domains of applicability. Several testable predictions are presented for future observational verification.