Resolution of the TeV Gamma-Ray Transparency Anomaly: Non-Linear Breit-Wheeler Cross-Section Suppression and Substrate Shear Dispersion in an Elastically Pre-Stressed Vacuum

Observations of very-high-energy (VHE, E_γ ≳ 1–20 TeV) γ-rays from distant cosmological blazars (z ~ 0.1–0.3) by imaging atmospheric Cherenkov telescopes (H.E.S.S., MAGIC, VERITAS) reveal an anomalous cosmic transparency. In standard relativistic QED, pair creation off the Extragalactic Background Light (γ_TeV + γ_EBL -> e^+ + e^-) predicts severe optical depths (τ ≫ 1) and exponential spectral cutoffs that contradict the unattenuated hard spectra observed in sources such as 1ES 0229+200. Orthodox resolutions typically invoke hypothetical axion-like particles (ALPs) or Planck-scale Lorentz Invariance Violation (LIV). Building upon our unified framework of the physical vacuum as an elastically pre-stressed continuum, we show that this anomalous transparency is the deterministic consequence of non-linear shear dispersion in the substrate. In our ontology, photons are transverse acoustic shear wavepackets, and pair production corresponds to a non-linear topological bifurcation into strain-vortex solitons. At VHE frequencies (ω ~ 10^28 rad/s), localized dynamic shear stress approaches the vacuum holding pre-stress P_0, inducing acoustic phase detuning with low-frequency optical EBL modes. We derive the analytical suppression of the Breit-Wheeler cross-section σ_eff(s) = σ_BW(s) [1 + s / (2 G_v ℓ_0^2)]^-1, showing that the cosmic optical depth saturates at τ_eff ≤ 1.6–2.0. This elevates transmission by over two orders of magnitude, restoring complete concordance with observational data without speculative scalar fields or broken relativity.