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Published on: December 4, 2017
Non-Equilibrium Quantum Brain Dynamics: Water Coupled with Phonons and Photons.
Akihiro Nishiyama1, Shigenori Tanaka1, Jack Adam Tuszynski2,3,4
1Graduate School of System Informatics, Kobe University, 1-1 Rokkodai, Nada-ku, Kobe 657-8501, Japan.
This study introduces Quantum Brain Dynamics (QBD) for water, incorporating sound (phonons) and light (photons) as additional quantum elements. It demonstrates acoustic super-radiance and establishes fundamental conservation laws within this novel framework.
Area of Science:
- Quantum physics
- Condensed matter physics
- Biophysics
Background:
- Quantum Electrodynamics (QED) traditionally describes interactions between charged particles and light.
- Quantum Brain Dynamics (QBD) offers a framework for complex quantum systems, but its application to water with acoustic and photonic interactions is unexplored.
Purpose of the Study:
- To extend Quantum Brain Dynamics (QBD) by incorporating phonon (sound) degrees of freedom alongside photons (light) for water.
- To investigate the quantum electrodynamics (QED) of water coupled with sound and light.
- To explore novel phenomena such as acoustic super-radiance and establish thermodynamic principles.
Main Methods:
- Formulation of a Lagrangian density for QED including non-relativistic charged bosons, photons, and phonons.
- Derivation of time-evolution equations for coherent fields and Kadanoff-Baym (KB) equations for incoherent particles.
- Introduction of a kinetic entropy current and application of gradient expansion and Hartree-Fock approximations.
Main Results:
- Development of a theoretical model for Quantum Brain Dynamics (QBD) of water, phonons, and photons.
- Identification of an acoustic super-radiance solution.
- Demonstration of the H-theorem for self-energy and derivation of conserved quantities.
Conclusions:
- The study successfully integrates phonon degrees of freedom into the QBD framework for water.
- The findings suggest potential for new quantum phenomena in water involving sound and light.
- The derived conservation laws provide a foundation for understanding the dynamics of this complex quantum system.
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