Non-Abelian Gauge Dynamics and Ternary Logic Horizons in Dark Sector Interfaces: A Resolution to Holographic Overload and the Hubble Tension

We introduce a rigorous mathematical extension to the variational model of conformal metric modulation by embedding a non-Abelian Yang-Mills SU(3) gauge framework scaled within a balanced ternary logic structure. Standard cosmological paradigms traditionally treat data dissipation as an unmitigated thermodynamic anomaly. Moving beyond these constraints, we formalize the quantum vacuum as an active, self-referential compiler where the symmetric neutral state (0) operates not as a vacuum absence, but as a topological information sink. By introducing a dimensionless ternary compression factor κ ≡ ln(2)/ln(3) ≈ 0.6309, we demonstrate that the integrated dissipative trace of the non-Markovian memory kernel undergoes an exact anti-phase destructive interference. Numerical integration verifies that this framework completely suppresses Landauer heat bounds (ΔQ → 0), systematically shifting the deterministic phase fracture and substrate apoptosis from the binary baseline of tₙₒᵣₘ = 9.15 to an extended stability horizon at tₙₒᵣₘ = 9.80.