The non-ideal theory of the Aharonov–Bohm effect.
Elay Shech and John Earman have recently argued that the common topological interpretation of the Aharonov–Bohm (AB) effect is unsatisfactory because it fails to justify idealizations that it presupposes. In particular, they argue that an adequate account of the AB effect must address the role of bo...
| Publicado en: | Synthese Vol. 198; no. 12; pp. 12195 - 12222 |
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| Formato: | Artículo |
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Springer Nature
Dec2021
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=152624536&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 152624536 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Dec2021 vid: 198 iid: 12 pid: 237 pub: Springer Nature artinfo: ui: 152624536 10.1007/s11229-020-02859-x ppf: 12195 ppct: 27 formats: fmt: @attributes: type: P size: 394KB tig: atl: The non-ideal theory of the Aharonov–Bohm effect. aug: au: Dougherty, John affil: Munich Center for Mathematical Philosophy, LMU Munich, 80539, Munich, Germany su: Aharonov-Bohm effect Electromagnetic interactions Electromagnetic theory Treatment effectiveness sug: subj: Aharonov-Bohm effect Electromagnetic interactions Electromagnetic theory Treatment effectiveness keyword: Aharonov–Bohm effect Idealization Locality Topology Unitarily inequivalent representations ab: Elay Shech and John Earman have recently argued that the common topological interpretation of the Aharonov–Bohm (AB) effect is unsatisfactory because it fails to justify idealizations that it presupposes. In particular, they argue that an adequate account of the AB effect must address the role of boundary conditions in certain ideal cases of the effect. In this paper I defend the topological interpretation against their criticisms. I consider three types of idealization that might arise in treatments of the effect. First, Shech takes the AB effect to involve an idealization in the form of a singular limit, analogous to the thermodynamic limit in statistical mechanics. But, I argue, the AB effect itself features no singular limits, so it doesn't involve idealizations in this sense. Second, I argue that Shech and Earman's emphasis on the role of boundary conditions in the AB effect is misplaced. The idealizations that are useful in connecting the theoretical description of the AB effect to experiment do interact with facts about boundary conditions, but none of these idealizations are presupposed by the topological interpretation of the effect. Indeed, the boundary conditions for which Shech and demands justification are incompatible with some instances of the AB effect, so the topological interpretation ought not justify them. Finally, I address the role of the non-relativistic approximation usually presumed in discussions of the AB effect. This approximation is essential if—as the topological interpretation supposes—the AB effect constrains and justifies a relativistic theory of the electromagnetic interaction. In this case the ends justify the means. So the topological view presupposes no unjustified idealizations. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2021. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2021 holdings: @attributes: islocal: N |
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