Vector Universe Theory (TVU): Axioms, Dynamics, and Cosmological Predictions

The Vector Universe Theory (TVU) proposes that physical reality emerges from a single ontological principle: the conservation of total dynamic capacity. Every entity operates within a fixed dynamic budget, distributed between spatial motion (v_{sp}) and internal phase evolution (v_{\phi}) limited by the universal constant c. From this postulate, a Lagrangian formulation of a fundamental phase field \phi(x^{\mu}) is derived, yielding emergent gravity and quantized mass. The theory provides a novel resolution to the Hubble tension: cosmic acceleration arises naturally from the decay of global phase coherence rather than dark energy. TVU is Lorentz-invariant, reproduces general relativity in the weak-field limit, and predicts testable deviations in gravitational wave propagation and early-universe cosmology.