Published February 18, 2026 | Version v3

Complex Action and Entropic Time: Mathematical Foundations for Quantum Gravity

Description

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 gravity

Manuscript 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.

Files

CAT_EPT_Final_Fixed.pdf

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Additional details

Software

Repository URL
https://github.com/jagg-ix/entropic-time
Programming language
Python , Mathematica , C++
Development Status
Wip