Possibility Space and Graph-Amplitude Non-Equilibrium

This article presents the third and final revision of a unified framework integrating a foundational-ontological Possibility Space (PS) metaphysics with the formal physical theory Graph-Amplitude Non-Equilibrium (GA-NE). Two rounds of adversarial critique — the first directed at the framework's completeness, the second at the quality of its revisions — have generated a sequence of four cumulative improvements: (i) an independent justification for the quadratic form of the coherence functional via a uniqueness theorem; (ii) a precise delineation of the framework's meta-theoretical scope; (iii) a propensity-theoretic resolution of the presentism-dynamics tension; and (iv) a derivation of decoherence from first principles. This final version addresses three remaining stress-tests identified by the second round of critique: the dimensional stability problem (why dₛ = 3), the validity range of the uniqueness theorem, and the temporal discreteness implied by the propensity interpretation. For each, we provide either a formal conjecture with a proof sketch or a precise statement of the open problem. The result is a framework that is internally consistent, honest about its scope, and capable of generating a specific and tractable research programme.