Quantum Physics


A New Model for Quantum Mechanics and the Invalidity of no-go Theorems

Authors: Jiri Soucek

In this paper we define and study the new model for quantum mechanics (QM) – the hybrid epistemic model. We describe in detail its axiomatic definition and its properties. The new feature of this model consists in the fact that it does not contain the formal definition of the measurement process (as it is standard in other models) but the measurement process is one of possible processes inside of QM. The hybrid-epistemic model of QM is based on two concepts: the quantum state of an ensemble and the properties of individual systems. It is assumed that the quantum state (i.e. the wave function) can be attributed only to ensembles (with some exceptions) and not to individual systems. On the other hand, the properties of individual systems can be described by properties which are collected into classifications. Properties are assumed to be exclusive, i.e. a given individual system having certain property cannot have another property. We shall describe the internal measurement process in the hybrid-epistemic model of QM in all details. This description substitutes the formal definition of the measurement process in the standard QM. We show the local nature of EPR correlations in the hybrid-epistemic model of QM in all details. We show that the anti-correlations between measurements at the Alice’s part and the Bob’s part is completely analogical to the standard classical local anti-correlations originated in the correlation in the past. We define precisely the epistemic and the ontic models of QM for the goal to prove that these three models give the same empirical predictions, i.e. that they are empirically equivalent. This theorem on the empirical equivalence is proved in all details. We show that the no-go theorems (Bell’s theorem, the Leggett-Garg’s theorem and others theorems) cannot be proved in the hybrid-epistemic model of QM. This is one of the main results of this paper. We interpret this as the invalidity of no-go theorems in QM. This interpretation is sound since the true consequences of QM must be provable in all models of QM. We shall consider the possible inconsistences of the ontic model of QM. We show that there are many consequences of the ontic model of QM which are dubious or controversial. There are many such controversial consequences. In the next part we consider the internal inconsistency of the ontic model which is more serious and we consider this argument against the ontic model as the most serious. We introduce the property-epistemic model of QM which is the special case of the hybrid-epistemic model. We describe this model in all details and we show that this model of QM is the most suitable and most elegant model of QM. In this model many proofs are extremely simplified and almost trivial. Then we discussed possible arguments in this field and our answers to these arguments. We summarize our conclusions. At the end there are three appendices. In the first appendix we give proofs of all theorems. In the second appendix we give our conjectures, opinions and suggestions. In the third appendix we describe the ontic model for the Brownian motion. We think that this model shows clearly (by analogy) the absurdity of the ontic model of QM.

Comments: 57 Pages.

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Submission history

[v1] 2018-02-07 02:30:55

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