Relativity and Equivalence in Hilbert Space: A Principle-Theory Approach to the Aharonov-Bohm Effect
Quantum Physics
2020-01-14 v1 History and Philosophy of Physics
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.
Keywords
Cite
@article{arxiv.2001.04205,
title = {Relativity and Equivalence in Hilbert Space: A Principle-Theory Approach to the Aharonov-Bohm Effect},
author = {Guy Hetzroni},
journal= {arXiv preprint arXiv:2001.04205},
year = {2020}
}