Phonon-Grounded Sink-P Dispersion in Mesoporous Forsterite (Mg₂SiO₄) and Spectral Stability Bounds (ρ(H) < 1) for N ∈ {128, 256, 512} Sovereign Virtual Nodes

While the zero-write-back operator Υ_monitor→core ≡ 0 and 0.40 s synthetic proxy lag establish sovereign-node isolation up to N = 64, scaling unencumbered virtual reality topologies to high-density consensus tiers (N ∈ {128, 256, 512}) risks driving the spectral radius of the unlatched peer-coupling matrix above unity (ρ(H) ≥ 1) prior to fork latching, while generating high-flux boundary erasure exhaust at Sink-P. This paper closes the hardware-to-virtual-reality bridge by uniting large-N spectral stability with the solid-state acoustic thermodynamics of crystalline mesoporous forsterite (Mg₂SiO₄). First, we derive strict Gershgorin-disk and Perron–Frobenius normalization bounds on the inter-observer coupling tensor J_ij that guarantee ρ(H) < 1 and ρ(P) < 1 across N ∈ {128, 256, 512}, preserving prefrontal executive control (COMT/CD38/AVPR1A) and the τ = 0.40 s proxy attractor without buffer saturation. Second, we map the virtual zero-write-back boundary Υ_monitor→core ≡ 0 and Landauer bit-erasure flux k_B T ln 2 · İ_erased directly onto the anisotropic thermal-conductivity tensor κ_ab and directional acoustic phonon dispersion branches ω_q,s of a mesoporous Mg₂SiO₄ host lattice. By matching the pore-wall phononic bandgap to the proxy rejection frequency spectrum, rejected supervisory write-back packets convert irreversibly into outward ballistic-diffusive lattice modes with zero acoustic back-scattering (Γ_Sink-P→proxy ≡ 0).