IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v567y2021ics0378437120310049.html
   My bibliography  Save this article

Non-equilibrium Quantum Brain Dynamics II: Formulation in 3+1 dimensions

Author

Listed:
  • Nishiyama, Akihiro
  • Tanaka, Shigenori
  • Tuszynski, Jack A.

Abstract

This paper is concerned with an extension of the formalism of Quantum Brain Dynamics (QBD) to 3+1 dimensions, for which we derive evolution equations which involve water molecules’ electric dipoles and photon degrees of freedom. We obtain Schrödinger-like equations for coherent electric dipole fields, Klein–Gordon equations for coherent electric fields and Kadanoff–Baym equations for incoherent particles. We further consider aspects of thermodynamic equilibration with entropy production and super-radiance simultaneously derived from our system’s Lagrangian. We also show the presence of the Higgs mechanism and a tachyonic instability in the Klein–Gordon equations for coherent electric fields. Our approach describes non-equilibrium, non-secular, and entropy producing dynamics with conservation laws for the probability and the total energy. This representation of QBD describes non-equilibrium properties associated with memory formation in QBD.

Suggested Citation

  • Nishiyama, Akihiro & Tanaka, Shigenori & Tuszynski, Jack A., 2021. "Non-equilibrium Quantum Brain Dynamics II: Formulation in 3+1 dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    • Handle: RePEc:eee:phsmap:v:567:y:2021:i:c:s0378437120310049
    DOI: 10.1016/j.physa.2020.125706
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437120310049
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2020.125706?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tanaka, Shigenori & Umegaki, Toshihito & Nishiyama, Akihiro & Kitoh-Nishioka, Hirotaka, 2022. "Dynamical free energy based model for quantum decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:567:y:2021:i:c:s0378437120310049. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.