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Journal of consciousness exploration & research

New Schrodinger Equation with Consciousness Term

Mirosław Kozłowski, Janina Marciak-kozlowska B

Published Apr 9, 2017• 0 citations
OpenAlex

Abstract

In this paper, we developed the new Schrodinger equation with elementary memory term. With the equation we describe Bohm pilot wave which is responsible for the memory (consciousness) of elementary particles. It is the first step in the quest for describing consciousness on the quantum level.

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The de Broglie-Bohm “pilot-wave” theory replaces the paradoxical wave-particle duality of ordinary quantum theory with a more mundane and literal kind of duality: each individual photon or electron comprises a quantum wave (evolving in accordance with the usual quantum mechanical wave equation) and a particle that, under the influence of the wave, traces out a definite trajectory. The definite particle trajectory allows the theory to account for the results of experiments without the usual recourse to additional dynamical axioms about measurements. Instead, one need simply assume that particle detectors click when particles arrive at them. This alternative understanding of quantum phenomena is illustrated here for two elementary textbook examples of one-dimensional scattering and tunneling. We introduce a novel approach to reconcile standard textbook calculations (made using unphysical plane-wave states) with the need to treat such phenomena in terms of normalizable wave packets. This approach allows for a simple but illuminating analysis of the pilot-wave theory's particle trajectories and an explicit demonstration of the equivalence of the pilot-wave theory predictions with those of ordinary quantum theory.

arXiv:1210.7265•American Journal of Physics•Mar 18, 2013•31 citations
Quantum mechanics provides a theory for the behavior of elementary particles and atoms. The problem which confronted the founding fathers of quantum mechanics, concerning the behavior of subatomic particles, is best illustrated by means of the following experiment. Schrodinger’s cat escapes the dilemma of being neither dead nor alive in David Bohm’s intepretation of how the Schrodinger wave equation should be applied in quantum mechanics. Schrodinger’s cat also escapes the dilemma of being neither dead nor alive in the Gell-Mann and Zurek interpretation of how Schrodinger’s equation should be interpreted. All interpretations of quantum mechanics so far enumerated require the concept of non-local reality. A synaptic bouton may then have a paracrystalline structure which requires Schrodinger’s equation to describe its quantum states. Non-local reality may arise in a different way in the brain through quantum correlations involving phonons, as first suggested by Frohlich.
Bohmian mechanics, also known as pilot-wave theory or de Broglie-Bohm theory, is a formulation of quantum mechanics whose fundamental axioms are not about what observers will see if they perform an experiment but about what happens in reality. It is therefore called a "quantum theory without observers," alongside with collapse theories and many-worlds theories and in contrast to orthodox quantum mechanics. It follows from these axioms that in a universe governed by Bohmian mechanics, observers will see outcomes with exactly the probabilities specified by the usual rules of quantum mechanics for empirical predictions. Specifically, Bohmian mechanics asserts that electrons and other elementary particles have a definite position at every time and move according to an equation of motion that is one of the fundamental laws of the theory and involves a wave function that evolves according to the usual Schrödinger equation. Bohmian mechanics is named after David Bohm (1917-1992), who was, although not the first to consider this theory, the first to realize (in 1952) that it actually makes correct predictions.
The de Broglie-Bohm “pilot-wave” theory replaces the paradoxical wave-particle duality of ordinary quantum theory with a more mundane and literal kind of duality: each individual photon or electron comprises a quantum wave (evolving in accordance with the usual quantum mechanical wave equation) and a particle that, under the influence of the wave, traces out a definite trajectory. The definite particle trajectory allows the theory to account for the results of experiments without the usual recourse to additional dynamical axioms about measurements. Instead, one need simply assume that particle detectors click when particles arrive at them. This alternative understanding of quantum phenomena is illustrated here for two elementary textbook examples of one-dimensional scattering and tunneling. We introduce a novel approach to reconcile standard textbook calculations (made using unphysical plane-wave states) with the need to treat such phenomena in terms of normalizable wave packets. This approach allows for a simple but illuminating analysis of the pilot-wave theory's particle trajectories and an explicit demonstration of the equivalence of the pilot-wave theory predictions with those of ordinary quantum theory.