Causal Priority Theory: A Unified Framework Deriving tPage ≈0.646·tevap from a Single Variable Kazukichi Independent Researcher [email protected] Full series (7 papers): Zenodo — Causal Priority Theory, Episodes 0–6

This document provides a unified overview of the research series on Causal Priority Theory (CPT), which offers a novel resolution to the black hole information paradox. Based on a single fundamental variable \bm{\Delta C_{rel}} (quantum relative entropy) and a single axiom, this framework derives the black hole Page curve without the need for additional geometric assumptions such as replica wormholes or island surfaces. A key highlight of this synthesis is the parameter-free prediction of the Page time: This result differs significantly from the \bm{t_{Page} \approx 0.5 \, t_{evap}} predicted by the island formula, providing a sharp, falsifiable prediction that can be tested in analogue gravity systems (e.g., BEC, optical fibers). This document serves as a comprehensive roadmap for the full series (Episodes 0–6).