Preprint Article Version 1 This version is not peer-reviewed

Non-Equilibrium Quantum Brain Dynamics: Super-radiance and Equilibration in 2+1 Dimensions

Version 1 : Received: 15 October 2019 / Approved: 16 October 2019 / Online: 16 October 2019 (04:47:08 CEST)

A peer-reviewed article of this Preprint also exists.

Nishiyama, A.; Tanaka, S.; Tuszynski, J.A. Non-Equilibrium Quantum Brain Dynamics: Super-Radiance and Equilibration in 21 Dimensions+. Entropy 2019, 21, 1066. Nishiyama, A.; Tanaka, S.; Tuszynski, J.A. Non-Equilibrium Quantum Brain Dynamics: Super-Radiance and Equilibration in 21 Dimensions+. Entropy 2019, 21, 1066.

Journal reference: Entropy 2019, 21, 1066
DOI: 10.3390/e21111066

Abstract

We derive time evolution equations, namely the Schrodinger-like equations and the Klein-Gordon equations for coherent fi elds and the Kadanoff-Baym (KB) equations for quantum fluctuations, in Quantum Electrodynamics (QED) with electric dipoles in 2 + 1 dimensions. Next we introduce a kinetic entropy current based on the KB equations in the 1st order of the gradient expansion. We show the H-theorem for the Leading-Order self-energy in the coupling expansion (the Hartree-Fock approximation). We show a conserved energy in the spatially homogeneous systems in the time evolution. We derive aspects of the super-radiance and the equilibration in our single Lagrangian. Our analysis can be applied to Quantum Brain Dynamics, that is QED with water electric dipoles. The total energy consumption to maintain super-radiant states in microtubules seems to be within the energy consumption to maintain the ordered systems in a brain.

Subject Areas

non-equilibrium quantum field theory; quantum brain dynamics; kadanoff–baym equation; entropy; super-radiance

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.