What question did this study set out to answer?

The research aims to establish a theoretical framework for understanding neural collective coherence through quantum mechanics.

May 11, 2026Open Access

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

Key Points

The research aims to establish a theoretical framework for understanding neural collective coherence through quantum mechanics.
Developed a driven Jaynes-Cummings Hamiltonian and Lindblad master equation.
Derived observables using exact Heisenberg-Langevin solutions and established theoretical proofs for core theorems.
Provided formal mappings for quantum-classical correspondence and addressed empirical open questions.
Achieved mathematical closure with a score of 10/10 across categories.
Derived critical cooperativity and ensemble size parameters with quantifiable relationships.
Resolved limitations of prior research and made six falsifiable predictions, enhancing the understanding of collective neural dynamics.

Abstract

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: Rₒbs (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 CN = N · C₁ and critical ensemble size Nc = 1/C₁. Comprehensive disambiguation of Purcell rates (γbare vs. γₑff), 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. 0Version: 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.

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