The Invariant Scale of Conformal Metric - Resolving Cosmological Horizons and Field Discrepancies Through Balanced Ternary

This technical paper presents the formal unifications of the Conformal Metric Modulation (CMM) framework. By mapping cosmic expansion as a hydrodynamic head loss of an exogenic dark gauge field condensing into baryonic coordinates via balanced ternary logic, we resolve the \(>5\sigma\) Hubble Tension and eliminate infinite physical singularities at the event horizon boundary. Includes full analytical derivations for the adjusted metric and photon orbit equations along with open-source verification Python code.