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1 juillet 2021
- handle: 10670/1.384opq
- hal: hal-03504541
info:eu-repo/semantics/OpenAccess
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Alexander Afriat, « The Aharonov-Bohm debate in 3D », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10670/1.384opq
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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 I propose 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 the electromagnetic turbulence represented by the potential). A slight tweak is enough to produce (a fictitious) gauge freedom in three dimensions.