Resolution of the B-Meson Flavour Anomalies: Finite-Volume Soliton Pair Nucleation, Substrate Shear Impedance, and Apparent Lepton Universality Violation in a Pre-Stressed Vacuum

Flavor-changing neutral-current transitions in beauty meson decays (b -> s ℓ+ ℓ-), probed through lepton universality ratios R_K and R_K*, the decay rate B_s -> μ+ μ-, and angular observables (P_5'), have revealed a coherent pattern of deviations from Standard Model predictions. Orthodox explanations invoke speculative leptoquarks (S_3, U_1) or non-universal Z' bosons that face severe constraints from high-p_T dilepton searches at the LHC. Building upon our foundational series on the physical vacuum as an elastically pre-stressed continuum, we show that apparent lepton non-universality is an environmental artifact of localized elastodynamic shear impedance during finite-volume soliton pair nucleation. In our ontology, leptons are topological vortex solitons with rest-frame core stress scaling as P_ℓ ∝ m_ℓ^4 (nearly nine orders of magnitude denser for the muon than for the electron). In the confined sub-femtometer reaction zone of a decaying B-meson (r_B ~ 0.2 fm), the sudden co-nucleation of two heavy muon solitons produces an intense localized back-reaction on the substrate, nonlinearly hardening the local shear impedance Z(σ). We derive the analytical suppression factor κ_μ = 1 - 3 m_μ^2 c^2 / (4π G_v ℓ_0 r_B) ≈ 0.865, corresponding to an effective Wilson coefficient shift ΔC_9^μ ≈ -0.71 ± 0.08, in exact agreement with global b -> s fits. The muonic decay rate is naturally attenuated without violating fundamental gauge universality or requiring exotic mediator particles.