The Volumetric Coupling Hypothesis: A Unified Thermodynamic Solution to the Cosmological Constant, Dark Matter, and the Hubble Tension

This paper proposes the Volumetric Coupling Hypothesis, a thermodynamic and geometric model that replaces the mathematical singularity of black holes with an active phase-transition engine. By modeling the black hole as a thin-shell topology containing an Incompressible Quantum Liquid, we demonstrate that infalling matter undergoes a forced phase transition into spatial vacuum at the inner boundary. We derive that the energy of this conversion scales with the surface area (E ∝ R²), while the resulting volume scales cubically (V ∝ R³). This Square-Cube dynamic results in a spatial energy density that dilutes at a rate of ρ ∝ 1/R, naturally resolving the Hubble Tension and providing a mechanical driver for both the expansion of the universe and the formation of astrophysical jets.