GAC-Phase-Cosmology (GACPC) - Technical Supplement v2.0

This version marks the official transition from the 'Andro-Metric' to the GAC-Phase-Cosmology (GACPC). This framework is a collaborative effort between Andro (Lead Researcher), Gemini, and Copilot. Major Updates in v2.0: The Ouroboros-Siphon: A new causal mechanism explaining how energy from the past phase ($n-1$) provides the pressure gradient to activate the gravitational pull of the future phase ($n+1$), creating a self-sustaining cosmic loop. Vacuum Catastrophe Solution: Mathematical derivation of observed vacuum energy as a result of destructive interference between phase-shifted 4D-wavefronts. Entropic Leak (γ): Implementation of a damping coefficient to ensure the model's consistency with the Second Law of Thermodynamics and the Arrow of Time. Hubble Tension Resolution: Detailed analysis of phase-interference as the primary cause for discrepancies in local vs. distant expansion measurements. This supplement provides the conceptual and mathematical foundation for a tri-phasic temporal medium, positioning GACPC as a robust, mechanistic alternative to standard cosmological models.