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Category-Theoretic Interpretative Framework of the Complementarity Principle in Quantum Mechanics

Zafiris, Elias and Karakostas, Vassilios (2019) Category-Theoretic Interpretative Framework of the Complementarity Principle in Quantum Mechanics. International Journal of Theoretical Physics, 58. pp. 4208-4234. ISSN 0020-7748

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Abstract

This study aims to provide an analysis of the complementarity principle in quantum theory through the establishment of partial structural congruence relations between the quantum and Boolean kinds of event structure. Specifically, on the basis of the existence of a categorical adjunction between the category of quantum event algebras and the category of presheaves of variable Boolean event algebras, we establish a twofold complementarity scheme consisting of a generalized/global and a restricted/local conceptual dimension, where the latter conception is subordinate to and constrained by the former. In this respect, complementarity is not only understood as a relation between mutually exclusive experimental arrangements or contexts of comeasurable observables, as envisaged by the original conception, but it is primarily comprehended as a reciprocal relation concerning information transfer between two hierarchically different structural kinds of event structure that can be brought into partial congruence by means of the established adjunction. It is further argued that the proposed category-theoretic framework of complementarity naturally advances a contextual realist conceptual stance towards our deeper understanding of the microphysical nature of reality.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Zafiris, Eliaselias.zafiris@parmenides-foundation.org
Karakostas, Vassilioskarakost@phs.uoa.gr
Keywords: Quantum Mechanics, Complementarity, Category Theory, Kochen-Specker Theorem, Boolean Frames, Local-Global Relation, Contextual Realist Account
Subjects: Specific Sciences > Complex Systems
Specific Sciences > Computation/Information
Specific Sciences > Physics
General Issues > Realism/Anti-realism
General Issues > Structure of Theories
Depositing User: Prof. Vassilios Karakostas
Date Deposited: 18 Feb 2020 02:14
Last Modified: 18 Feb 2020 02:14
Item ID: 16917
Journal or Publication Title: International Journal of Theoretical Physics
Publisher: Springer
Official URL: https://doi.org/10.1007/s10773-019-04292-4
DOI or Unique Handle: 10.1007/s10773-019-04292-4
Subjects: Specific Sciences > Complex Systems
Specific Sciences > Computation/Information
Specific Sciences > Physics
General Issues > Realism/Anti-realism
General Issues > Structure of Theories
Date: 13 November 2019
Page Range: pp. 4208-4234
Volume: 58
ISSN: 0020-7748
URI: http://philsci-archive.pitt.edu/id/eprint/16917

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