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The most pressing problem of Quantum Theory is to find a consistent modification of Quantum Mechanics (QM) satisfying the following conditions
(i) in the modified QM the derivation of Bell inequalities is not possible
(ii) in the modified QM the locality is an axiom
(iii) experimental consequences of the modified QM are the same as experimental consequences of the standard QM
(iv) in the modified QM it is possible to give a local explanation of the EPR correlations
The possible solution to this problem is given by the modified QM (modQM) introduced in (https://ijqf.org/wp-content/uploads/2015/06/201503.pdf or http://vixra.org/pdf/1503.0109v1.pdf).
The main point is the rejection of the co-called von Neumann’s axiom: each ensemble which is in the pure state is homogeneous (equivalently: all elements of this ensemble are in the same individual state). In modQM we postulate the opposite anti-von Neumann’s axiom: each two individual states must be orthogonal.