SIP-PHY-01c: The Architecture of Existence — Lindbladian Formalisation of the α<1 Framework

This document provides the formal mathematical architecture for the alpha-less-than-one frameworkintroduced in SIP-PHY-01a. We derive the Lindbladian master equation governing open quantumsystems under dynamic imbalance, formalize the Modified Tsirelson Bound as a falsifiable prediction,and establish the spectral gap condition as the mathematical expression of the General Theory ofRegulated Stability (GTRS). The framework maps the Coherence-Decoherence-Recoherence (CDR)cycle onto non-equilibrium thermodynamics and connects to the Five Principles architecture.Speculative extensions (Genesis, topology specification) are explicitly bracketed as annexes pendingempirical verification.