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Relativity and Equivalence in Hilbert Space: A Principle-Theory Approach to the Aharonov-Bohm Effect

Hetzroni, Guy (2020) Relativity and Equivalence in Hilbert Space: A Principle-Theory Approach to the Aharonov-Bohm Effect. Foundations of Physics. ISSN 1572-9516

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Abstract

This paper formulates generalized versions of the general principle of relativity and of the principle of equivalence that can be applied to general abstract spaces. It is shown that when the principles are applied to the Hilbert space of a quantum particle, its law of coupling to electromagnetic fields is obtained. It is suggested to understand the Aharonov-Bohm effect in light of these principles, and the implications for some related foundational controversies are discussed.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Hetzroni, Guyguy.hetzroni@mail.huji.ac.il0000-0002-4402-8713
Keywords: Aharonov-Bohm Effect Gauge Symmetries Principle of Equivalence Quantum Mechanics
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Guy Hetzroni
Date Deposited: 14 Jan 2020 02:06
Last Modified: 14 Jan 2020 02:06
Item ID: 16813
Journal or Publication Title: Foundations of Physics
Publisher: Springer
DOI or Unique Handle: 10.1007/s10701-020-00322-y
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Date: 9 January 2020
ISSN: 1572-9516
URI: http://philsci-archive.pitt.edu/id/eprint/16813

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