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Topological Field Theory of Consciousness: Universal Hyperscaling in Human Neural Matter (N=21)

Steven Hays Wait

PhilPapers (PhilPapers Foundation) March 21, 2026 DOI: 10.5281/zenodo.19144032 (opens in new tab)

Study at a glance

AI-extracted from the abstract
Characteristics Observational EEG study Peer reviewed
Sample size 21
Population Human subjects undergoing propofol sedation
Intervention Propofol
Key findings The authors report that the conscious state is characterized by a hyperscaling ratio H of approximately 1.53 ± 0.02, invariant across sensory conditions and stable under TMS, while propofol anesthesia drives a first-order phase transition to a trivial topological state (Q=0, H approaching 1.0) preceded by critical slowing (autocorrelation AR1 rising from 0.80 to 0.97). They argue this constant distinguishes consciousness from standard self-organized criticality and identifies the neural field as belonging to the O(3) Wilson-Fisher universality class.

Abstract

We present empirical validation of a Topological Field Theory of Consciousness (TFTC) wherein subjective awareness is modeled as a persistent topological soliton with winding number Q=1. Analyzing high-density EEG (62 channels, 5000 Hz) from 21 subjects undergoing propofol sedation, we demonstrate that the conscious state occupies a distinct universality class characterized by a hyperscaling ratio H = (τ-1)/(α-1) ≈ 1.53 ± 0.02. This value is invariant across sensory conditions and stable to external perturbation (TMS). Pharmacological induction of anesthesia drives a first-order phase transition to a trivial topological state (Q=0, H→1.0) preceded by critical slowing down (autocorrelation AR1: 0.80→0.97). The 1.53 constant distinguishes consciousness from standard self-organized criticality (SOC) and identifies the neural field as belonging to the O(3) Wilson-Fisher universality class. These findings establish a quantitative, falsifiable boundary between conscious and non-conscious states, offering a path toward a formal physics of subjective experience.