Coherent states, fractals and brain waves

TL;DR

This paper links fractal self-similarity in brain activity to squeezed coherent states, proposing a dissipative model that explains power-law distributions in electrocorticograms and discusses the role of trajectories in memory space for perception and action.

Contribution

It introduces a novel connection between fractal self-similarity and quantum coherent states in a dissipative brain model, advancing understanding of neural self-similarity.

Findings

Fractal self-similarity in brain activity modeled by squeezed coherent states.

Dissipative model accounts for power-law spectral densities in electrocorticograms.

Discussion of trajectories in memory space related to perception and intentionality.

Abstract

I show that a functional representation of self-similarity (as the one occurring in fractals) is provided by squeezed coherent states. In this way, the dissipative model of brain is shown to account for the self-similarity in brain background activity suggested by power-law distributions of power spectral densities of electrocorticograms. I also briefly discuss the action-perception cycle in the dissipative model with reference to intentionality in terms of trajectories in the memory state space.