Z-ZERO PROTOCOL PHASE VI: Radiative Stability, Covariant Energy Transfer, and the Resolution of Cosmological Tensions

Phase VI of the Z-Zero Protocol establishes the definitive mathematical and computational link between the entropic interacting vacuum framework and the primary observational challenges of modern cosmology. Building upon the stability proofs and Effective Field Theory (EFT) formalisms established in previous phases, this manuscript demonstrates that the Z-Zero Protocol provides a natural, physical resolution to both the Hubble tension () and the structure growth discrepancy. By defining as the Entropic Coarse-Graining Scale, the interacting Lagrangian is shown to be radiatively stable against quantum loop corrections. The theory enforces covariant energy-momentum conservation () and maintains zero anisotropic stress (). Furthermore, this paper outlines the architectural blueprint for integrating the Z-Zero EFT into Einstein-Boltzmann solvers (e.g., CLASS). Numerical integration confirms that the late-time entropic "exhaust" pressure from baryonic complexity actively suppresses dark matter clustering at , directly resolving the tension without requiring arbitrary fine-tuning.