Non-linear Back-Reaction, Parametric Resonance, and Spontaneous Reheating in the Semiclassical Stratoverso Bounce

Bouncing cosmologies offer a compelling alternative to the inflationary paradigm, resolving the initial singularity through a classical or quantum transition. We present a complete, self-consistent, non-perturbative model of spontaneous reheating within the Stratoverso Framework. Using the Coleman-Weinberg one-loop quantum effective potential derived in Paper G, which regularizes the transition at t* via a non-singular semiclassical quantum bounce, we prove that the scalar field φ undergoes rapid coherent oscillations around the stable quantum minimum φ_min > 0. We couple φ to a light scalar matter field χ via a standard interaction term (1/2)g²φ²χ², and show that the Fourier modes χ_k(t) satisfy the Mathieu equation, where the coherent background oscillations act as a parametric pump. We analytically calculate the Floquet instability bands and the corresponding exponents μ_k, demonstrating that vacuum fluctuations of the matter field grow exponentially via non-perturbative parametric resonance. We verify that the model naturally enters both narrow (q≪1) and broad/stochastic (q≫1) resonance regimes. Accounting for non-linear back-reaction and thermalization, we derive a reheating temperature T_reheat ≈ 6.7×10¹⁷ GeV, successfully generating the hot Big Bang plasma of the successor layer from first principles of quantum effective fields.