Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Nov 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..32.2615s&link_type=abstract
Physical Review D (Particles and Fields), Volume 32, Issue 10, 15 November 1985, pp.2615-2621
Physics
Condensed Matter
Statistical Mechanics
23
Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Fundamental Problems And General Formalism, Classical Statistical Mechanics
Scientific paper
A gauge-invariant average action principle is presented that permits the formulation of a completely classical theory which is proved to be equivalent to Klein-Gordon quantum mechanics. In this approach, here called geometric quantum mechanics, the particle motion as well as the space-time geometry are determined simultaneously from the same average action principle. Quantum effects are proved to be related to space-time affine connections rather than to space-time metric tensor components. In this way geometric quantum mechanics is made compatible with axiomatic approaches to both space-time structure and probability calculus.
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