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 Entropic time equals accumulated modular flow bridging CAT/EPT with Page-Wootters and Connes-Rovelli formalisms. We provide a Measure Theory explicit UV convergence analysis through the complex Schrodinger Functional scheme with entropic regularization analysis of Kuchar’s six major problems in canonical quantum gravityManuscript drafts are included, Lean4 theorems , Wolfram Mathematica and Python code it's included, repository is still private. Once i get an invite with an arxiv account I'll move it there, meanwhile this place will be used until publication.