Classical mechanics with lapse
arXiv:gr-qc/9510062 · doi:10.1063/1.531459
Abstract
Mechanics is developed over a differentiable manifold as space of possible positions. Time is considered to fill a one--dimensional Riemannian manifold, so having the metric as lapse. Then the system is quantized with covariant instead of partial derivatives in the Schrödinger operator. Consequences for quantum cosmology are shortly discussed.
13 pages, latex, no figures, J. Math. Phys. in print