Macro- and Microscopic Self-Similarity in Neuro- and Psycho-Dynamics

TL;DR

This paper presents a Hamiltonian framework describing neuro- and psycho-dynamics at both macro and micro levels, revealing formal self-similarity and the arrow of time in brain processes through open Liouville equations.

Contribution

It introduces a unified Hamiltonian model for neuro- and psycho-dynamics at different scales, highlighting self-similarity and temporal directionality in brain dynamics.

Findings

Demonstrates formal self-similarity between macro- and micro-level brain processes.

Shows the arrow of time emerges naturally from the Liouville dynamics.

Provides a Hamiltonian description linking classical and quantum brain models.

Abstract

The unique Hamiltonian description of neuro- and psycho-dynamics at the macroscopic, classical, inter-neuronal level of brain's neural networks, and microscopic, quantum, intra-neuronal level of brain's microtubules, is presented in the form of open Liouville equations. This implies the arrow of time in both neuro- and psycho-dynamic processes and shows the existence of the formal neuro-biological space-time self-similarity. Keywords: Neuro- and psycho-dynamics, Brain microtubules, Hamiltonian and Liouville dynamics, Neuro-biological self-similarity