Symmetries, Quantum Geometry, and the Fundamental Interactions

Details Symmetries, Quantum Geometry, and the Fundamental Interactions Symmetries, Quantum Geometry, and the Fundamental Interactions

2000-12-04

arxiv.org/abs/quant-ph/0012011v4

Int.J.Theor.Phys. 41 (2002) 199-220

Physics

Quantum Physics

14 pages, 4 figures, Revtex. The presentation in the earlier version of Dec. 15, 2000 has been improved and some misprints cor

Scientific paper

A generalized Noether's theorem and the operational determination of a physical geometry in quantum physics are used to motivate a quantum geometry consisting of relations between quantum states that are defined by a universal group. Making these relations dynamical implies the non local effect of the fundamental interactions on the wave function, as in the Aharonov-Bohm effect and its generalizations to non Abelian gauge fields and gravity. The usual space-time geometry is obtained as the classical limit of this quantum geometry using the quantum state space metric.

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