Electron Stability in the Quantum Mirror Hypothesis: Linear Stability Analysis of the 0-State Condensate

The Quantum Mirror Hypothesis (QMH) models the quantum vacuum as a near-perfect 0-state reflective substrate carrying a single geometric flaw ε ≈ 0.012, calibrated from the 2025 LHCb baryon CP-violation measurement (Paper 1) and used to derive a velocity-dependent self-interacting dark matter cross-section (Paper 2). Here we extend the framework to address electron stability. Electrons are proposed as stable ground-state solitons of the thickened 0-state condensate. We derive the two-state Markovian rate equations governing visible and flipped electron populations, perform linear stability analysis, and show that both eigenvalues are real and negative for all ε < 1 — establishing unconditional linear stability. A nonlinear avalanche would require an effective flaw parameter ε_eff ≥ 1, which is unphysical in the QMH regime. The result is consistent with the Borexino lower bound on electron lifetime (τ ≥ 6.6 × 10²⁸ yr). We discuss implications for late-time cosmology and identify the outstanding calculations required for a fully quantitative version of this framework.