Quantum kinematics of spacetime. I. Nonrelativistic theory

Details Quantum kinematics of spacetime. I. Nonrelativistic theory Quantum kinematics of spacetime. I. Nonrelativistic theory

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37.2818h&link_type=abstract

Physical Review D (Particles and Fields), Volume 37, Issue 10, 15 May 1988, pp.2818-2832

Physics

55

Functional Analytical Methods

Scientific paper

The sum-over-histories quantum mechanics of a nonrelativistic particle gives a spacetime formulation of that theory in which the preferred Newtonian time does not enter immediately into the quantum kinematics. We investigate on what spacetime hypersurfaces a Schrödinger-Heisenberg formulation of the theory can be recovered and conclude that, in general, this is possible only on the surfaces of constant preferred Newtonian time. The significance of this for a quantum theory of spacetime is discussed.

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