2014/03/13 by Gerhard Groessing, Gerhard Grössing, Siegfried Fussy +4 · 12 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Causality (physics) #Computer science #Corollary #Epistemology #Expression (computer science) #Mathematical physics #Mathematics #Open quantum system #Phenomenology (philosophy) #Philosophy #Physics #Probability amplitude #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum dynamics #Quantum field theory #Quantum mechanics #Quantum operation #Quantum probability #Quantum process #Statistical physics #Theoretical physics #quant-ph
paper · pdf · doi:10.1088/1742-6596/504/1/012006
published in Journal of Physics Conference Series 504, 012006 (IOP Publishing) · 22 pages, 5 figures; talk presented at the 2nd international symposium on "Emergent Quantum Mechanics" (Vienna, Austria, 3-6 October, 2013), http://www.emqm13.org/. To be published in J. Phys.: Conf. Ser. (2014)
arxiv created 2014/03/13 · openalex publication_date 2014/04/14 · arxiv updated 2014/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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, respectively.