Abstract
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.
- Received 10 May 1985
DOI:https://doi.org/10.1103/PhysRevD.32.2615
©1985 American Physical Society