Quantum Brain Dynamics in [formula omitted] dimensions: Non-equilibrium analysis towards memory formations

Abstract

By employing numerical simulations we describe non-equilibrium processes leading towards the breakdown of symmetry within Quantum Brain Dynamics (QBD) in 2+1 dimensions. We adopt time evolution equations for coherent electric fields, dipole moment density and the time derivative of dipole moment density, and the Kadanoff–Baym equations for incoherent dipoles and photons. We show that the Bose–Einstein distributions apply to incoherent dipoles and photons in the time evolution. Triggered by nonzero initial electric field, the system’s dipoles are aligned in the same direction. We argue that these results can be applied as representative for memory formations in QBD.