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 | |||||||||
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| 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 |
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| 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 |
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| Date: | 13 November 2019 | |||||||||
| Page Range: | pp. 4208-4234 | |||||||||
| Volume: | 58 | |||||||||
| ISSN: | 0020-7748 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/16917 |
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