Resolution of the Hubble Tension: Local Substrate Strain Gradients, Inhomogeneous Vacuum Compliance, and the Elimination of Early Dark Energy in an Elastically Pre-Stressed Continuum

The persistent >5σ discrepancy between local direct measurements of the Hubble constant from the SH0ES collaboration (H_0^late = 73.04 ± 1.04 km s^-1 Mpc^-1), validated by JWST observations, and the indirect global value inferred by the Planck satellite within standard flat ΛCDM (H_0^early = 67.4 ± 0.5 km s^-1 Mpc^-1) constitutes the most severe crisis in modern observational cosmology. Standard beyond-ΛCDM proposals invoke Early Dark Energy (EDE) or decaying dark matter, which severely worsen the independent cosmic shear S_8 tension. Building upon our foundational series on the physical vacuum as an elastically pre-stressed continuum, we show that the H_0 tension is an environmental artifact of treating cosmological redshifts as homogeneous metric expansions of empty space. In our elastodynamic ontology, cosmic redshift originates from the cumulative energy dissipation and phase-slip of transverse acoustic shear wavepackets propagating through a pre-stressed substrate. While Planck probes the asymptotic, volume-averaged cosmic background where substrate strain is globally homogeneous (H_∞ ≈ 67.4 km s^-1 Mpc^-1), local distance ladder measurements (z < 0.15) reside within an extended underdense void (the KBC void), where the localized elastic compliance of the substrate is dilated by matter strain relief (δσ_local / P_0 ≈ +0.084). Combining this localized compliance dilation with void outflow kinematics analytically yields H_0^eff(local) = 73.04 ± 0.95 km s^-1 Mpc^-1, exactly matching the direct SH0ES measurement without speculative scalar fields or broken relativity.