Mind Science

Path Integral Formulation of the Quantum Brain: Neurons as Quantum Mechanical Oscillator

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