On the hypotheses underlying physical geometry

Foundations of Physics 10 (7-8):601-629 (1980)

Abstract

The relationship between physics and geometry is examined in classical and quantum physics based on the view that the symmetry group of physics and the automorphism group of the geometry are the same. Examination of quantum phenomena reveals that the space-time manifold is not appropriate for quantum theory. A different conception of geometry for quantum theory on the group manifold, which may be an arbitrary Lie group, is proposed. This provides a unified description of gravity and gauge fields as well as generalizations of these fields. A correspondence principle which relates the geometry of quantum physics and the geometry of classical physics is formulated

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References found in this work

Relativity: The General Theory.John Lighton Synge (ed.) - 1960 - New York: Interscience Publishers.

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Citations of this work

On the Role of Special Relativity in General Relativity.Harvey R. Brown - 1997 - International Studies in the Philosophy of Science 11 (1):67 – 81.
Aspects of Objectivity in Quantum Mechanics.Harvey R. Brown - 1999 - In Jeremy Butterfield & Constantine Pagonis (eds.), From Physics to Philosophy. Cambridge University Press. pp. 45--70.
A Geometric Approach to Quantum Mechanics.J. Anandan - 1991 - Foundations of Physics 21 (11):1265-1284.

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