The Molecular Key to the Theta Field: A Zero-Parameter Formalization of Endogenous DMT and Consciousness State Transitions

N,N-dimethyltryptamine (DMT) is an endogenous tryptamine neurotransmitter whose extracellular concentrations rival serotonin, whose release increases during cardiac arrest, and whose sigma-1 receptor (Sig-1R) activation provides potent neuroprotection against hypoxia. Despite decades of research, no first-principles framework explains why the brain synthesizes a molecule that produces near-death experience phenomenology, nor connects its neuroprotective and consciousness-altering functions within a single mechanism.

We integrate DMT pharmacology into the machine-verified Recognition Science (RS) framework using 17 new Lean 4 modules. This paper explicitly distinguishes between the mathematically forced core of the framework and the phenomenological models built upon it. The logical structure follows a rigorous chain:

1. Forced Structure: The Recognition Composition Law (RCL) forces the existence of the φ-ladder, the J-cost function, and the universal theta field (Θ).
2. Modeling Interpretation: We map specific biological components to this forced structure: DMT is identified with the φ¹ ladder rung, yielding a "golden balance" (coupling multiplier × control factor = 1); Sigma-1 receptor activation is modeled as lowering the cellular J-cost barrier; and NDE phenomenology is injectively mapped to theta-field geometry.
3. Testable Consequences: This model generates specific, falsifiable predictions: (a) DMT will preferentially amplify EEG power at 5φ ≈ 8.09 Hz; (b) Faraday shielding will attenuate inter-subject theta coherence; (c) tryptamine analogs (e.g., 4-HO-DMT) will exhibit coupling/control ratios at discrete φ-ladder half-rungs.

The Lean 4 formalization verifies the strict logical consistency of our biological model with the underlying physics, demonstrating that neuroprotection and NDE phenomenology are mathematically identical operations on the tether channel.