Quantum Logic of the Brain: No Particles, No Fields ✛ ✎

Original: "Quantum-like representation of neuronal networks' activity: modeling "mental entanglement""
· Andrei Khrennikov, Makiko Yamada
arXiv:2509.16253 · 2025-09-17 · arXiv non-exclusive · independent analysis · 1 min
Nerve cells create a quantum-like entanglement of thoughts without any microscopic particles — just the synchronization of electrical waves.

The brain generates quantum-like states without a single quantum particle. As electrical waves of nerve cells synchronize, they give rise to a mathematical analog of entanglement. Like an orchestra where cellos and flutes, playing separately, suddenly start carrying a single melody, distant brain regions link into a unified network — a veritable galaxy of thought.

This model can be tested: brain spectroscopy (EEG) already picks up traces of quantum-like states. This moves theories of consciousness from philosophical debate into experimental science.

Just as astronomers study distant galaxies by their light, neuroscientists explore the brain's "universes" by analyzing electrical rhythms.

Entropy, a measure of uncertainty, bridges physics and psychology, explaining how sudden insights are born.

EEG records brain rhythms reminiscent of the twinkling of galaxies. Astrophysicists have long used spectroscopy; now neuroscientists will arm themselves with it to see the quantum effects of thought.

\rho = \frac{C}{\mathrm{Tr}(C)}
The normalized covariance matrix C becomes the density matrix ρ, the quantum state of the system.
Scientists
William WoottersJohn Stewart BellJacob BekensteinErwin SchrödingerAlain AspectDavid Deutsch
Concepts
quantum-like models quantum entanglement network memory cell memory temporal entanglement data center neural network correlation Large Language Models feynman medicine bell states classical model neural networks in spatial mapping logical qubit bell test protein language model classical computer Feynman diagram emergent complexity modeling