Possible connection between probability, spacetime geometry and quantum mechanics

Enrique Canessa

Physica A: Statistical Mechanics and its Applications, 2007, vol. 385, issue 1, 185-190

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.

Keywords: Probability; Spacetime geometry; Quantum mechanics (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:385:y:2007:i:1:p:185-190

DOI: 10.1016/j.physa.2007.06.006

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