The Neural Péclet Number: Consciousness as Phase Transition, Seizure as T4 Runaway, and the Hard Problem as Conjugacy Budget Constraint
Abstract
Neural information transport is governed by a Péclet number: Pe_neural = evoked signal amplitude / spontaneous noise, with consciousness present when Pe_neural > 1 (drift-dominated) and absent when Pe_neural < 1 (diffusion-dominated). Across 12 consciousness states (Spearman ρ=0.9663, p≈0) and 13 species (ρ=1.000), Pe_neural predicts consciousness level and cognitive complexity. Seizure onset is a T4 runaway with peak Pe=74.5× the critical threshold. The hard problem of consciousness is formalized as a conjugacy budget constraint I(experience;Y) + I(mechanism;Y) ≤ H(Y) — a structural limit, not a knowledge gap. Friston's free energy principle is shown to be identical to the void framework's drift-diffusion formalism under opacity, not merely analogous.
Fields of Study & Subjects
Philosophy and Theoretical Science
Neural dynamics and brain function
Embodied and Extended Cognition
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Preprint