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Relational causality and classical probability: Grounding quantum phenomenology in a superclassical theory

IOP Publishing
Grössing, G. Fussy, S. Pascasio, J.M.Schwabl, H. Austrian Institute for Nonlinear Studies,
Vienna, Austria

Institute for Atomic and Subatomic Physics,
Vienna University of Technology,
2014 Physics

By introducing the concepts of “superclassicality” and “relational causality”, it is shown here that the velocity field emerging from an n-slit system can be calculated as an average classical velocity field with suitable weightings per channel. No deviation from classical probability theory is necessary in order to arrive at the resulting probability distributions.

In addition, we can directly show that when translating the thus obtained expression for said velocity field into a more familiar quantum language, one immediately derives the basic postulate of the deBroglie-Bohm theory, i.e. the guidance equation, and, as a corollary, the exact expression for the quantum mechanical probability density current. Some other direct consequences of this result will be discussed, such as an explanation of Born’s rule and Sorkin’s first and higher order sum rules, respectively.

The article was published in:  'Journal of Physics: Conference Series', IOP Publishing: 012006.

Full article

This work was supported (in part) by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust.