'More Is Different' in neural circuits: algebraic emergence of effective theories in recurrent motifs
neurovium · x · 2026-09-04
An arXiv paper by Nima Dehghani models canonical circuit motifs (divisive normalization, winner-take-all) as finite transformation systems and applies Krohn–Rhodes/holonomy decomposition. Key findings: aperiodic primitive updates can compose into non-aperiodic monoids; WTA-to-DN composition yields genuinely composite local cycles certified as group components of the Krohn-Rhodes cascade — an algebraic account of 'More Is Different' in biological neural networks.
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