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

Possible Connection between Probability, Spacetime Geometry and Quantum Mechanics