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Possible connection between probability, spacetime geometry and quantum mechanics

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  • Canessa, Enrique

Abstract

Following our discussion [E. Canessa, 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 P, spacetime geometry (in the form of Schwarzschild radii rs) and quantum mechanics (in the form of complex wave functions ψ), namely Pθ,φ,t(n)≈Rs(n)/rs=|ψn(n)(X(n))|2/|ψn(x)|2. 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.

Suggested Citation

  • Canessa, Enrique, 2007. "Possible connection between probability, spacetime geometry and quantum mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 185-190.
    • Handle: RePEc:eee:phsmap:v:385:y:2007:i:1:p:185-190
    DOI: 10.1016/j.physa.2007.06.006
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    Cited by:

    1. S. Z. Stefanov & Paul P. Wang, 2016. "Day-Ahead Anticipation of Complex Network Vulnerability," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 209-217, November.
    2. S. Z. Stefanov & Paul P. Wang, 2014. "A Design For A Sustainable Electrical Power System," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 55-67.

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