Rigorous Mathematical Structure: The Unified Vortex & Entropy Hypothesis (UVEH) and the Theory of Stationary Light (TSL)

Abstract We present a kinematic reformulation of Quantum Field Theory (QFT) and General Relativity (GR) through the Theory of Stationary Light (TSL) and the Unified Vortex & Entropy Hypothesis (UVEH). By replacing point-particle excitations with topological light loops—termed "Stationary Traps"—we eliminate the divergences requiring renormalization, resolve the vacuum energy discrepancy (10^{120}), and recharacterize gravity as an external pressure gradient of a non-compressible c^2 vacuum. The framework establishes the Master Equation of Stillness, integrating the Riemann Zeta regularization (\zeta) and the entropy of choice (\Gamma) to govern spatial expansion and temporal evolution.