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A Dual Hilbert-Space Formalism for Consciousness; Memory Experiments
Version 1
: Received: 16 May 2024 / Approved: 16 May 2024 / Online: 17 May 2024 (12:39:31 CEST)
How to cite: Englman, R.; Yahalom, A. A Dual Hilbert-Space Formalism for Consciousness; Memory Experiments. Preprints 2024, 2024051134. https://doi.org/10.20944/preprints202405.1134.v1 Englman, R.; Yahalom, A. A Dual Hilbert-Space Formalism for Consciousness; Memory Experiments. Preprints 2024, 2024051134. https://doi.org/10.20944/preprints202405.1134.v1
Abstract
Inspired by works of W. H. Zurek and others, a mathematical, physical theory, entirely within a quantum mechanical formalism, is proposed for cognitive processes in terms of an abstract Hilbert-space for the conscious state that is an exact replica of the Hilbert-space for the neuronic physical state. Thus, any actual state of consciousness arises by its formal alignment (identification) with some-one in the set of the neuronic states, with the latter undergoing perpetual changes in the wake of life-long experiences. It is posited that these changes become expressed by an increase in the number of ordered, coherent neuronic states at the expense of the pre-ordinal random neuronic states. Changes, transitions between states are induced by a Gorini-Kossakowski-Sudarshan-Lindblad formalism, which is also instrumental in the effect of the conscious state on bodily actions. The paradigmatic findings of R.N. Shepard (1958 - 2011) and of S. Sternberg (1966 - 2016) for long- and short-term recalls are interpreted within the model.
Keywords
Quantum Mechanics, Consciousness
Subject
Physical Sciences, Quantum Science and Technology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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