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

Erkenntnis 72 (3):387 - 409 (2010)
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.
Keywords Holonomy interpretation  Holonomies  Holonomy properties  Relativistic locality  Local action
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