Born’s rule as signature of a superclassical current algebra
We present a new tool for calculating the interference patterns and particle trajectories of a double, three and Nslit system on the basis of an emergent subquantum theory developed by our group throughout the last years. The quantum itself is considered as an emergent system representing an offequilibrium steady state oscillation maintained by a constant throughput of energy provided by a classical zeropoint energy field. We introduce the concept of a “relational causality” which allows for evaluating structural interdependences of different systems levels, i.e. in our case of the relations between partial and total probability density currents, respectively. Combined with the application of 21st century classical physics like, e.g., modern nonequilibrium thermodynamics, we thus arrive at a “superclassical” theory. Within this framework, the proposed current algebra directly leads to a new formulation of the guiding equation which is equivalent to the original one of the de Broglie–Bohm theory. By proving the absence of third order interferences in threepath systems it is shown that Born’s rule is a natural consequence of our theory. Considering the series of one, double, or, generally, of Nslit systems, with the first appearance of an interference term in the double slit case, we can explain the violationmore »
 Authors:

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 Austrian Institute for Nonlinear Studies, Akademiehof, Friedrichstr. 10, 1010 Vienna (Austria)
 (Austria)
 Publication Date:
 OSTI Identifier:
 22314796
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics (New York); Journal Volume: 343; Journal Issue: Complete; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOHM CRITERION; CAUSALITY; CURRENT ALGEBRA; CURRENT DENSITY; INTERFERENCE; OSCILLATIONS; QUANTUM MECHANICS; STEADYSTATE CONDITIONS; SUM RULES; THERMODYNAMICS; TRAJECTORIES