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Computational Efficiency η and Neural Dissipation ||Δ|| During Propofol Sedation: EEG Evidence for the RDRT Consciousness Gradient

Alastair Waterman

Zenodo (CERN European Organization for Nuclear Research) March 19, 2026 DOI: 10.5281/zenodo.19119371 (opens in new tab)

Study at a glance

AI-extracted from the abstract
Characteristics Observational cohort Peer reviewed
Sample size 21
Population Human participants receiving propofol sedation
Intervention Propofol
Keywords Wakefulness Propofol Sedation Unconsciousness Electroencephalography Sedative Anesthesia Amplitude Artificial intelligence Dissipation Epilepsy Breathing
Key findings Propofol sedation produces a massive reduction in computational efficiency η and a dramatic increase in dissipation norm ||Δ||, placing the sedated brain in a dissipative transition zone between wakefulness and deep unconsciousness.

Abstract

Abstract We apply the Effective Power framework (Eff = Amp x Sgamma; Waterman 2026a) and the integrated scalar metrics η (computational efficiency) and ||Δ|| (dissipation norm) to a propofol sedation EEG dataset (ds005620; Bajwa et al. 2024, N=21, 65 channels). Recordings during wakefulness (eyes-closed resting) are compared with two levels of propofol sedation. The primary result is a massive reduction in η during sedation relative to wakefulness (awake: 0.893; sedated: 0.330; d=-2.151, p<0.001), accompanied by a dramatic increase in ||Δ|| (awake: 1.96 uV; sedated: 30.05 uV; d=+0.846, p<0.001). Pattern stability Sgamma collapses across all frequency bands during sedation (awake: 0.79-0.86; sedated: 0.06-0.38), while amplitude rises — particularly in delta and gamma bands. These results place propofol sedation in the dissipative transition zone of the η-||Δ|| phenomenal state space: low η combined with high ||Δ|| indicates that the sedated brain is expending substantial energy without producing organised spatial patterns. This is distinct from deep unconsciousness (where both η and ||Δ|| would approach zero) and from wakefulness (high η, low ||Δ||). The findings confirm the RDRT prediction (P4) that η monotonically decreases along the consciousness gradient, and establish sedation as an intermediate state in the phenomenal state space defined by η and ||Δ||. Combined with results from three previously analysed datasets (reversal learning, insight, meditation), these results establish η as a universal marker spanning both intra-conscious phenomenal transitions and the full consciousness-level gradient.