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

Foundations of Physics 50 (2):120-135 (2020)
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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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Guy Hetzroni
The Open University of Israel

References found in this work

What is structural realism?James Ladyman - 1998 - Studies in History and Philosophy of Science Part A 29 (3):409-424.
The unreasonable effectiveness of mathematics in the natural sciences.Eugene Wigner - 1960 - Communications in Pure and Applied Mathematics 13:1-14.
Understanding electromagnetism.Gordon Belot - 1998 - British Journal for the Philosophy of Science 49 (4):531-555.

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