The Causal Nexus: Resolving the Hawking Paradox, Stochasticity, and the Hubble Tension through Einsteinian Realism

This paper identifies the Statistical Independence Postulate ($P(\lambda | a, b) = P(\lambda)$) as the foundational axiomatic error preventing the unification of General Relativity and Quantum Mechanics. By re-evaluating the Feynman Path Integral within a non-factorizable, superdeterministic Hilbert space, I demonstrate that the universe remains fully unitary ($S=0$). I propose the Recoherence Trace protocol ($F > 0.55$) as a near-term quantum test. Furthermore, I argue that 'Dark Sector' anomalies and the Hubble Tension emerge from a global causal nexus. I propose a specific, falsifiable test utilizing Type Ia supernova light-curves in cosmic voids to verify differential chronology (Timescapes), fulfilling the Einsteinian program for a Unified Field Theory.