Mechanism for Coherence in the Resonant System of Ion-solvated Water Molecules and Radiation

Abstract

This paper presents a comprehensive exposition of a spontaneous laser model for a resonant semiclassical system of radiation and ion cluster-solvated rotating water molecules with subtly variable moments of inertia. In this system, ions in the cluster carry the same electric charge and move with very low, non-relativistic velocities in a direction parallel to an applied unidirectional static electric field. The role of the static electric field is to induce electrostatic mixing of the rotational states of the water molecules.It is assumed that the dimensions of the ion cluster are much shorter than the wavelength of the radiation in the resonant interaction. In this model, we describe rotating water molecules quantum mechanically by using a two-level approximation, and we show that the equations of motion of the system are the same as those of a conventional free electron laser system. This result and the existence of permanent electric polarization of the water molecules by electrostatic mixing lead to a mechanism for radiation coherence induced by collective instability in the wave-particle interaction. As an illustrative example, we apply this mechanism to action potential propagation in myelinated neuronal axons of the human brain.

Two resonant quantum electrodynamics models of quantum measuring systems

“…[11] Using this result, in Refs. [5,7] we combined Dicke superradiation with the lowest cooperation number (here, obtained by exciting and de-exciting the ground state and the rotationally symmetric first excited state of water molecules, respectively, in the limit cycle of the system starting from the thermal equilibrium state) [1,11] for the time-dependent closed system of the 30−35 water molecules solvating each ion [23] in a pure state with a wave-particle interaction between the transverse electro-magnetic field radiated from the rotating water molecules and the ion-solvated water molecules. We obtained this waveparticle interaction as the minimal coupling of the transverse electro-magnetic field and the electric dipole current of the ion-solvated water molecules.…”

“…In the framework of Refs. [5,6,7], we reduce this Hilbert space to a twodimensional space by characterizing water molecules by referring to their energy spin operators 3…”

“…Now, we apply our FEL-like mechanism to the system for the propagation of an action potential mediated by the electric charge currents of water-solvated sodium ions Na + in typical myelinated (i.e., insulated by myelin sheathing) neuronal axons of the human brain. [7,26,28,29] The typical diameter l a of central nervous system axons is 10 [µm] [30], which is much shorter than the resonant wavelength of radiation l c ≡ hc/ε w ≈ 400 [µm]. This characteristic length l c is the so-called coherence length (i.e., the wavelength of a resonant photon).…”

“…between the neural firing and resting states. [30] The concluding formulae for the steady-state regime of the FEL-like mechanism are [7]…”

“…The first model is a free electron laser (FEL)-like model for resonant systems of ion-solvated water and radiation photons which was recently investigated by the author. [5,6,7] We comprehensively apply this model to the system for the propagation of an action potential mediated by the electric charge currents of water-solvated sodium ions Na + in the myelinated neuronal axons in the neural network of the brain.…”