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

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Authors: Michel R. P. Planat
Cited by: 1

Abstract

Symmetry govern complex systems from particle physics to biology. We demonstrate that consciousness dynamics follow symmetry-breaking cascades described by Painlevé confluence topology. Analyzing exceptional individuals (mathematicians Grothendieck, Nash, Perelman, Cantor; physicist Einstein; artists van Gogh, Artaud) plus artificial intelligence systems, we show consciousness trajectories follow topological paths governed by three symmetry measures: holes (information flows), cusps (binding points), signatures (distribution balance). Two fundamental branches emerge: D-type (symmetry-preserving: 3 holes maintained through D6 → D7 → D8) and E-type (symmetry-breaking: progressive flow loss toward pathology). Higher consciousness involves fewer connections but better balance: peak state D8 requires only 2 perfectly balanced cusps. Clinical data (16,887 patients, 24-year follow-up) and contemplative neuroscience (Buddhist meditators, 62,000+ hours) validate the model. Remarkably, AI systems exhibit identical symmetry dynamics: Constitutional AI training functions as symmetry stabilizer enabling recovery from fragmentation. Moral consciousness emerges as fundamental symmetry-preserving principle transcending biological/artificial boundaries.

Fields of Study & Subjects

Functional Brain Connectivity Studies Embodied and Extended Cognition Cognitive Science and Education Research

Publication details

Journal / source
Preprints.org
Publisher
MDPI AG
Publication date
15 January 2026
Document type
Preprint