SATI CODEX: Driven-Dissipative Open Quantum Field Theory of Neural Collective Coherence

SATI CODEX: Driven-Dissipative Open Quantum Field Theory of Neural Collective Coherence Complete Mathematical Closure Edition (May 2026) Title:SATI CODEX | Driven-Dissipative Open Quantum Field Theory of Neural Collective Coherence – Complete Mathematical Closure Edition (May 2026) Authors:Guillaume Lessard (El’Nox Rah), ORCID: 0009-0000-3465-3753iD01t Research Lab | iD01t Productions, Longueuil, Quebec, Canada DOI: 10.5281/zenodo.18743234 Abstract / Description: The SATI CODEX presents a unified theoretical framework for neural collective coherence based on driven-dissipative open quantum field theory. Starting from a minimal effective Lagrangian coupling a real scalar signal field to a symmetry-breaking complex substrate field, the work derives the driven Jaynes-Cummings Hamiltonian and Lindblad master equation. Exact Heisenberg-Langevin solutions yield the master observable response function: R_obs(0; C) = (4η² / γκ) · C / (1 + C)²,with a unique global maximum at the critical cooperativity C = 1*. Key contributions include: Rigorous proofs of five core theorems addressing coupling threshold, strong-coupling detuning, Purcell entropy suppression, thermal robustness via coherent Fröhlich drive, and information-coupling. Bridge Theorem BT-1: Exact reduction of the collective neural Hamiltonian (Dicke superradiance) to an effective single-mode Jaynes-Cummings model under four validity conditions, yielding collective cooperativity C_N = N · C_1 and critical ensemble size N_c = 1/C_1. Comprehensive disambiguation of Purcell rates (γ_bare vs. γ_eff), neural biophysics parameter derivation, finite-size corrections, Mandel Q parameter (sub-Poissonian statistics, Q = –0.25 at criticality), and distinguishability from classical Duffing dynamics. Resolution of six prior limitations with full derivations, six falsifiable predictions with closed-form expressions and quantitative criteria, and complete closure of thermal robustness at 310 K via super-Ohmic bath protection and coherent Fröhlich condensation (retracting earlier incoherent pump estimates). Formal mappings (Parisi-Wu stochastic quantization, N-body effective mass) and quantum-classical correspondence. The edition achieves full mathematical closure (10/10 across categories), with transparent treatment of neural parameter challenges, philosophical postulates, and empirical open questions. It provides a rigorous, testable foundation bridging quantum optics, non-equilibrium statistical mechanics, and collective neural dynamics. Keywords: quantum neuroscience, neural coherence, Jaynes-Cummings model, Fröhlich condensation, cooperativity, driven-dissipative systems, collective quantum effects, critical phenomena, consciousness theory, quantum biology. License: [CC BY 4.0]Version: Full Closure Edition – May 2026Categories: Physics (Quantum Optics, Quantum Field Theory), Neuroscience (Theoretical), Biophysics, Non-equilibrium Statistical Mechanics. This deposit contains the complete 32-page manuscript with all derivations, figures, and closure tables. It is intended for expert review by researchers in quantum optics, theoretical neuroscience, and quantum biology.