A Chronon Volumetric Mathematics Resolution Branch for the Hubble Tension: Local-Distance Metric Dressing, Scalar Dynamics, and Empirical Closure

Chronon Volumetric Mathematics (CVM) gives a scalar-dressed observable-metric branch for the Hubble tension. The framework separates the CMB, BAO, and local-distance sectors by assigning the local-distance ladder a small negative scalar dressing while keeping the CMB and BAO standard-ruler sectors in the recovery limit. The resulting branch fixes the dressing amplitude directly from the ratio between local-distance and CMB-inferred Hubble values, derives the dressed FLRW Hubble map, states a scalar action and Euler-Lagrange equation, and gives an empirical distance-modulus consequence with confirmatory and falsification tests.