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Causal Classical Physics in Time Symmetric Quantum Mechanics
Fritz W. Bopp

Physics Department, University of Siegen

Published: 20 November 2017 by MDPI AG in Proceedings in 4th International Electronic Conference on Entropy and Its Applications
MDPI AG, Volume 2; 10.3390/ecea-4-05010

The letter (to be) submitted is an executive summary of our previous paper [3]. To solve the Einstein Podolsky Rosen "paradox" the two boundary quantum mechanics developed by Aharonov and coworkers [1] and others is taken as self consistent interpretation [2].

The difficulty with this interpretation of quantum mechanics is to reconcile it with classical physics. To avoid classical backward causation two "corresponding transition rules" are formulated which specify needed properties of macroscopic observations and manipulations. The apparent classical causal decision tree requires to understand the classically unchosen options. They are taken to occur with a "incomplete knowledge" of the boundary states typically in macroscopic considerations. The precise boundary conditions with given phases then select the actual measured path and this selection is mistaken to happen at the time of measurement. The apparent time direction of the decision tree originates in an assumed relative proximity to the initial state. Only the far away final state allows for classically distinct options to be selected from.

Cosmological the picture could correspond to a big bang initial and a hugely extended final state scenario. It is speculated that it might also under certain condition work for a big bang / big crunch world. In this case the Born probability postulate could find a natural explanation if we coexist in the expanding and the CPT conjugate contracting world.

[1] Yakir Aharonov, Peter G Bergmann, and Joel L Lebowitz. Time symmetry in the quantum process of measurement. Physical Review, 134(6B):B1410, 1964.
[2] Yakir Aharonov, Eliahu Cohen, and Tomer Landsberger. The two-time in-terpretation and macroscopic time-reversibility. Entropy, 19(3), 2017.
[3] Fritz W. Bopp. Time Symmetric Quantum Mechanics and Causal Classical Physics. Foundation of Physics, DOI:10.1007/s10701-017-0074-7, archiv:1604.04231, 2016.

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