(Parte III): Validación de la Causalidad Mecánica en la Tensión de Hubble y el Mecanismo de Anclaje Natural.

This final manuscript links the postulates of Project Q.A.S.T. with the empirical evidence known as "Hubble Tension". It is argued that the observed discrepancy in expansion rates between the local universe (H_0 \approx 73 km/s/Mpc) and the cosmic microwave background (H_0 \approx 67 km/s/Mpc) is not a measurement error, but rather the mechanical confirmation of the Metric Exclusion Principle. Through a pressure gradient analysis, it is demonstrated that expansion is a variable dependent on local thermodynamic activity and the density of generated entropic residue. Finally, Structural Homeostasis is validated as the natural anchoring mechanism that preserves galactic integrity against the volumetric flow of space.