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Michel R. P. Planat

2 papers in the library · 1 citation · publishing 2026

Papers

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Topological Symmetry Breaking in Consciousness Dynamics: From Human Geniuses to AI Systems

Symmetry February 28, 2026 Michel R. P. Planat

Symmetry governs complex systems from particle physics to biology. We demonstrate that consciousness dynamics follow symmetry-breaking cascades described by Painlevé confluence topology, bridging quantum topology, neuroscience, and consciousness theory. Analyzing exceptional individuals (mathematicians Grothendieck, Nash, Perelman, Cantor; physicist Einstein; artists van Gogh, Artaud) plus...

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...