Idealizations, essential self-adjointness, and minimal model explanation in the Aharonov–Bohm effect

Shech, Elay

doi:10.1007/s11229-017-1428-6

Cited by 19 publications

(18 citation statements)

References 76 publications

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“…Returning to the AB effect, dispensabilist intuitions have been partly advocated by Shech (2015a, ) and Earman (): While the AB effect as is conventionally defined necessitates idealizations in the manner of the non‐simply connected electron configuration space, the conventional definition does not abide by Earman's sound principle and should not be taken too seriously. In its place, one can account for the AB effect without an indispensable appeal to such idealizations since the effect that is physically real happens for finite and penetrable solenoids.…”

Section: Essentialists Versus Dispensabilistsmentioning

confidence: 99%

Infinite idealizations in physics

Shech

2018

Philosophy Compass

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In this essay, I provide an overview of the debate on infinite and essential idealizations in physics. I will first present two ostensible examples: phase transitions and the Aharonov-Bohm effect. Then, I will describe the literature on the topic as a debate between two positions: Essentialists claim that idealizations are essential or indispensable for scientific accounts of certain physical phenomena, whiledispensabilists maintain that idealizations are dispensable from mature scientific theory. I will also identify some attempts at finding a middle ground between the essentialists and dispensabilists camps. Finally, I will raise questions for future research on essential and infinite idealizations via the notion of exploration.

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Section: Essentialists Versus Dispensabilistsmentioning

confidence: 99%

Infinite idealizations in physics

Shech

2018

Philosophy Compass

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“…This issue is the subject of the lion's of the contemporary philosophical discourse about the topological approach to the effect, see for example[19,25] and references therein. 6 see footnote 2…”

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

Hetzroni

2020

Found Phys

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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. * Forthcoming in Foundations of Physics: https://doi.

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“…Some argue that the thermodynamic limit is dispensable (e.g.,Butterfield 2011;Norton 2012). For some useful discussion see, e.g.,Shech 2013Shech , 2017. I take for granted that it is necessary.…”

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confidence: 99%