Holonomy Interpretation and Time: An Incompatible Match? A Critical Discussion of R. Healey’s Gauging What’s Real: The Conceptual Foundations of Contemporary Gauge Theories.

I argue that the Holonomy Interpretation, at least as it has been presented in Richard Healey’s Gauging What’s Real, faces serious problems. These problems are revealed when certain approximations and idealizations that are innate in the original formulation of the Aharonov-Bohm effect are thrust as...

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Publicado en:Erkenntnis Vol. 72; no. 3; pp. 387 - 410
Autor principal: Nounou, Antigone M.
Formato: Artículo
Publicado: Springer Nature May2010
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Acceso en línea:Ver este registro en EBSCOhost
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        au: Nounou, Antigone M.
        affil: National Hellenic Research Foundation, 48 V. Konstantinou Ave 116 35 Athens, Greece
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        Criticism
        Gauging What's Real: The Conceptual Foundations of Contemporary Gauge Theories (Book)
        Healy, Richard
        Holonomy groups
        Loops (Group theory)
      sug:
        subj:
          Criticism
          Gauging What's Real: The Conceptual Foundations of Contemporary Gauge Theories (Book)
          Healy, Richard
          Holonomy groups
          Loops (Group theory)
      keyword:
        Holonomies
        Holonomy interpretation
        Holonomy properties
        Local action
        Relativistic locality
      ab: I argue that the Holonomy Interpretation, at least as it has been presented in Richard Healey’s Gauging What’s Real, faces serious problems. These problems are revealed when certain approximations and idealizations that are innate in the original formulation of the Aharonov-Bohm effect are thrust aside; in particular, when the temporal dimension is taken into account. There are two ways in which time re-appears in the picture: by considering complete solutions to the original problem, where the magnetic flux is static, and by examining the effects of time dependent magnetic fluxes. Both cases expose explanatory gaps in the Interpretation, as well as conflicts between it and customary ideas about relativistic locality and local action on which the Interpretation depends.
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