Complex Action and Entropic Time: Mathematical Foundations for Quantum Gravity

mathematical framework for Complex Action Theory with Entropic Proper Time Beginning from the observation that physical clocks accumulate irreversible records even within inertial frames, we argue that the structural extension S= SR + iSI is the minimal modification preserving variational dynamics while encoding temporal asymmetry We Entropic time equals accumulated modular flow bridging CAT/EPT with Page-Wootters and Connes-Rovelli formalisms. We provide explicit UV convergence analysis through the complex Schrodinger Functional scheme with entropic regularization analysis of Kuchar’s six major problems in canonical quantum gravity