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Gerhard Grössing, Siegfried Fussy, Johannes Mesa Pascasio, and Herbert Schwabl
Austrian Institute for Nonlinear Studies, AT

Relational Causality and Classical Probability: Grounding Quantum Phenomenology in a Superclassical Theory

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 de Broglie – 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. Finally, while our results achieve a correspondence with standard quantum phenomenology, they also force a reconsideration of the non-signalling principle. (See also the presentation by Walleczek and Grössing at this symposium).

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