Possible Connection between Probability, Spacetime Geometry and Quantum Mechanics

Details Possible Connection between Probability, Spacetime Geometry and Quantum Mechanics Possible Connection between Probability, Spacetime Geometry and Quantum Mechanics

2007-07-04

arxiv.org/abs/0707.0635v1

PhysicaA385:185-190,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

in press

Scientific paper

10.1016/j.physa.2007.06.006

Following our discussion [Physica A, 375 (2007) 123] to associate an analogous probabilistic description with spacetime geometry in the Schwarzschild metric from the macro- to the micro-domain, we argue that there is a possible connection among normalized probabilities, spacetime geometry (in the form of Schwarzschild radii) and quantum mechanics (in the form of complex wave functions). We show how this association along different (n)-nested surfaces --representing curve space due to an inhomogeneous density of matter-- preserves the postulates of quantum mechanics at different geometrical scales.

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