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The Aharonov-Bohm debate in 3D

Afriat, Alexander (2018) The Aharonov-Bohm debate in 3D. [Preprint]

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Abstract

Going from two dimensions (curl and circulation) to three (divergence and flux in electrostatics or `Newton-Poisson gravity') can shed light on the Aharonov-Bohm debate. The three-dimensional analogy is misleading if taken too literally; it makes sense on a more abstract, formal level (where, for instance, the electromagnetic field is viewed somewhat metaphorically as a `source'---of electromagnetic turbulence). A slight tweak is enough to produce (a fictitious) gauge freedom in three dimensions.


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Item Type: Preprint
Creators:
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Afriat, Alexander
Keywords: Aharonov-Bohm, gauge, differential forms, electromagnetism
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Alexander Afriat
Date Deposited: 02 Jul 2018 13:41
Last Modified: 02 Jul 2018 13:41
Item ID: 14834
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Date: 1 July 2018
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14834

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