Reconstructing and Extending Geometric Unity: The Temporal Sector and the Chronoflux Field

This work presents a variational completion of a unified geometric framework in which the Lorentz and internal gauge connections are treated as components of a single covariant structure. The theory is formulated in four dimensions without introducing additional spacetime coordinates. Closure of the action is obtained by introducing a normalized timelike vector field that defines a minimal temporal sector compatible with covariance, dimensional consistency, and hyperbolicity. The resulting field equations reduce to General Relativity coupled to the Standard Model in the stationary limit and predict controlled deviations governed by a finite parameter set. Stability conditions, laboratory tests, gravitational constraints, and cosmological implications are derived in explicit form.