Gauge invariance, Cauchy problem, indeterminism, and symmetry breaking

Philosophy of Science 63 (3):79 (1996)

Abstract

The concepts in the title refer to properties of physical theories and this paper investigates their nature and relations. The first three concepts, especially gauge invariance and indeterminism, have been widely discussed in connection to spacetime theories and the hole argument. Since the gauge invariance principle is at the crux of the issue, this paper aims at clarifying the nature of gauge invariance. I first explore the following chain of relations: gauge invariance $\Rightarrow $ the conservation laws $\Rightarrow $ the Cauchy problem $\Rightarrow $ indeterminism. Then I discuss gauge invariance in light of our understanding of the above relations and the possibility of spontaneous symmetry breaking

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Chuang Liu
University of Florida

References found in this work

What Price Spacetime Substantivalism? The Hole Story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
The Hole Truth.Jeremy Butterfield - 1989 - British Journal for the Philosophy of Science 40 (1):1-28.
Substances and Space-Time: What Aristotle Would Have Said to Einstein.Tim Maudlin - 1990 - Studies in History and Philosophy of Science Part A 21 (4):531-561.
Spacetime and Holes.Carolyn Brighouse - 1994 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:117 - 125.

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Citations of this work

Introduction: Principles of Quantum Gravity.Karen Crowther & Dean Rickles - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 46 (2):135-141.

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