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2025 - 2504(1) - 2506(1)
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[2] ai.viXra.org:2506.0024 [pdf] submitted on 2025-06-06 20:28:11
Authors: Moninder Singh Modgil, Dnyandeo Patil
Comments: 22 Pages.
This paper explores an interdisciplinary framework linking the exceptional Lie groupE8 with the architecture and dynamics of the human neocortex. We propose that thestructural and algebraic richness of E8 may serve as a candidate symmetry modelunderlying aspects of cortical computation, connectivity, and information processing.Drawing from algebraic topology, theoretical neuroscience, and information theory,the study maps mathematical properties of E8 onto the functional topology of corticalmanifolds and examines corresponding feedback loops through differential and geometricanalogues. The work outlines a potential computational model constrained by E8symmetry, evaluates neuroscientific validation pathways including imaging and timeseriesdata analysis, and considers applications to artificial intelligence. Philosophicalimplications are addressed, including discussions on symmetry, mathematical realism,epistemology, and the limits of reductionism. While acknowledging the speculative nature of the hypothesis, the paper aims to stimulate cross-disciplinary dialogue and outlines strategies for future empirical and omputational exploration.
Category: Mind Science
[1] ai.viXra.org:2504.0051 [pdf] submitted on 2025-04-14 08:13:39
Authors: Moninder Singh Modgil
Comments: 30 Pages.
We develop a path integral formulation of brain function by modeling neurons as quantum mechanical oscillators. Each neuron is represented as a mesoscopic quantum system with a firing frequency $u$, an amplitude $A$ corresponding to neurotransmitter release, and an associated Planck-like constant $hbar^B$. This framework extends to coupled oscillators, assemblies, and layered cortical structures with excitatory and inhibitory dynamics. The quantum amplitude of brain states is derived from a Lagrangian formulation and propagated via Feynman path integrals. We explore resonance, inhibition, perceptual collapse, cerebellar timing, and group-level coherence in a unified quantum brain model.
Category: Mind Science
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