Authors: Jiri Soucek
In this article we consider the variant of quantum mechanics (QM) which is based on the non-realism. There exists the theory of the modified QM introduced in [1] and [2] which is based on the non-realism, but it contains also other changes with respect to the standard QM (stQM). We introduce here the other non-realistic modification of QM (n-rQM) which contains the minimal changes with respect to stQM. The change consists in the replacement of the von Neumann`s axiom (ensembles which are in the pure state are homogeneous) by the anti-von Neumann`s axiom (any two different individual states must be orthogonal). This introduces the non-realism into n-rQM. We shall show that experimental consequences of n-rQM are the same as in stQM, but these two theories are substantially different. In n-rQM it is not possible to derive (using locality) the Bell inequalities. Thus n-rQM does not imply the non-locality (in contrast with stQM). Because of this the locality in n-rQM can be restored. The main purpose of this article was to show what could be the minimal modification of QM based on the non-realism, i.e. that the realism of stQM is completely contained in the von Neumann's axiom.
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[v1] 2015-04-14 13:54:17
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