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

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 fi...

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Veröffentlicht in:Foundations of physics 2020-02, Vol.50 (2), p.120-135
1. Verfasser: Hetzroni, Guy
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0015-9018
1572-9516
DOI:10.1007/s10701-020-00322-y