ArticleEntropy (Basel, Switzerland)2019
Non-Equilibrium Quantum Electrodynamics in Open Systems as a Realizable Representation of Quantum Field Theory of the Brain.
Article in Entropy (Basel, Switzerland), 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Non-Equilibrium Quantum Brain Dynamics: Water Coupled with Phonons and Photons.Entropy (Basel, Switzerland) · 2024Article
- Holographic Brain Theory: Super-Radiance, Memory Capacity and Control Theory.International journal of molecular sciences · 2024Article
- Docosahexaenoic Acid Explains the Unexplained in Visual Transduction.Entropy (Basel, Switzerland) · 2023Article
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Authors and funding
3 authors.
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Abstract
We derive time evolution equations, namely the Klein-Gordon equations for coherent fields and the Kadanoff-Baym equations in quantum electrodynamics (QED) for open systems (with a central region and two reservoirs) as a practical model of quantum field theory of the brain. Next, we introduce a kinetic entropy current and show the H-theorem in the Hartree-Fock approximation with the leading-order (LO) tunneling variable expansion in the 1st order approximation for the gradient expansion. Finally, we find the total conserved energy and the potential energy for time evolution equations in a spatially homogeneous system. We derive the Josephson current due to quantum tunneling between neighbouring regions by starting with the two-particle irreducible effective action technique. As an example of potential applications, we can analyze microtubules coupled to a water battery surrounded by a biochemical energy supply. Our approach can be also applied to the information transfer between two coherent regions via microtubules or that in networks (the central region and the N res reservoirs) with the presence of quantum tunneling.
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