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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| Keywords | Principle of Equivalence Gauge Symmetries Aharonov-Bohn Effect Quantum Theory |
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| Reprint years | 2020 |
| ISBN(s) | |
| DOI | 10.1007/s10701-020-00322-y |
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References found in this work BETA
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The Unreasonable Effectiveness of Mathematics in the Natural Sciences.Eugene Wigner - 1960 - Communications in Pure and Applied Mathematics 13:1-14.
Remodelling Structural Realism: Quantum Physics and the Metaphysics of Structure. [REVIEW]Steven French & James Ladyman - 2003 - Synthese 136 (1):31-56.
World Enough and Space‐Time: Absolute Versus Relational Theories of Space and Time.Robert Toretti & John Earman - 1989 - Philosophical Review 101 (3):723.
Understanding Electromagnetism.Gordon Belot - 1998 - British Journal for the Philosophy of Science 49 (4):531-555.
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Citations of this work BETA
Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches.Philipp Berghofer, Jordan Francois, Simon Friederich, Henrique Gomes, Guy Hetzroni, Axel Maas & René Sondenheimer - unknown
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