Axioms

Consciousness as 4-Manifold Painlevé V Dynamics: From Quantum Topology to Classical Gamma Oscillations

Axioms February 6, 2026 Michel R. P. Planat 1 citation

We propose a novel mathematical framework for understanding consciousness as a dynamical phenomenon governed by nonlinear integrable equations. The central hypothesis identifies conscious state dynamics with the Painlevé VI equation and its confluence limits, providing a unified description of stability, bifurcation, and collapse across cognitive regimes. In this approach, consciousness is...