Reflexive Index φ as a Heuristic Model of Consciousness Formalizability: Validation on 265,956 Epochs and Clinical Perspectives
Zenodo (CERN European Organization for Nuclear Research) July 12, 2026 Valery Kalinin
A heuristic EEG-based biomarker called the reflexive index φ, derived from capacity, selectivity, and integrity components, reliably distinguishes locked-in syndrome from healthy volunteers (AUC = 0.947 ± 0.081) but does not significantly differentiate among vegetative state, minimally conscious state minus, and minimally conscious state plus (Kruskal-Wallis p = 0.152), nor correlate with CRS‑R scores. Only the awareness parameter showed empirical support (p = 0.045); anaesthesia hysteresis was confirmed (p = 0.902 between loss and return of consciousness). The theoretical framework was formally verified in Coq 8.18+ and TLA⁺, with 10 theorems constructively proved. The model is clinically useful for LIS screening but insufficient for fine-grained consciousness disorder grading.