Locality and Measurements Within the SR Model for an Objective Interpretation of Quantum Mechanics

Abstract

One of the authors has recently propounded an SR (semantic realism) model which shows, circumventing known no-go theorems, that an objective (noncontextual, hence local) interpretation of quantum mechanics (QM) is possible. We consider here compound physical systems and show why the proofs of nonlocality of QM do not hold within the SR model, which is slightly simplified in this paper. We also discuss quantum measurement theory within this model, note that the objectification problem disappears since the measurement of any property simply reveals its unknown value, and show that the projection postulate can be considered as an approximate law, valid FAPP (for all practical purposes). Finally, we provide an intuitive picture that justifies some unusual features of the SR model and proves its consistency.

MGP Versus Kochen–Specker Condition in Hidden Variables Theories

“…This restriction is theoretically relevant but has no direct empirical consequence (it may have some indirect empirical consequences, as predicting that the Bell inequalities can be violated also in an objective interpretation of QM, see, e.g., Garola and Pykacz, 2004), and constitutes a (cheap) charge for avoiding old problems and paradoxes in the interpretation of QM. For instance, the objectification problem in quantum measurement theory, which remains unsolved also in some sophisticated generalizations of standard QM, as unsharp quantum mechanics (see, e.g., Busch et al, 1991), obviously disappears in an objective interpretation of QM.…”

“…Furthermore, it is shown in Section 3 how the above criticisms can be avoided by weakening the KS condition: this weakening entails broadening the class of possible HPTs and implies the remarkable result that the theorems mentioned above do not hold in the new class, so that noncontextual and local HPTs may exist in it. Finally, an example of a theory of this kind is provided in Section 4, summarizing the model that has been propounded in some recent papers in order to show that an objective interpretation of QM is possible (Garola, 2002;Garola and Pykacz, 2004). …”

Представление И Интерпретация Квантовых Смесей В Модели Развитого Семантического Реализма

“…Если заменить МКП более слабым предпо-ложением метатеоретического обобщенного принципа (МОП), то доказательства указанных выше теорем не удается завершить и при этом можно построить ин-терпретацию математического формализма КМ в рамках семантического реализ-ма (СР), которая оказывается неконтекстуальной (а потому объективной и локаль-ной 1) ). Более того, в работах [21]- [23] были разработаны разнообразные модели, по-казывающие самосогласованность интерпретации СР. Последняя из этих моделей -модель развитого семантического реализма (РСР) -представляет собой новый тип теории неконтекстуальных скрытых параметров, в которой помимо скрытых пере-менных вводится новая интерпретация понятия квантовых вероятностей как услов-ных относительно детектирования, а не абсолютных [24]- [27] 2) .…”

Quantum Machine and Semantic Realism Approach: a Unified Model

“…The above features also appear within the semantic realism (SR) interpretation of QM propounded by the Lecce research group on the foundations of QM as an alternative to the standard interpretation [11]- [15], aiming to avoid the same problems and paradoxes considered by the GB approach. Moreover, the SR interpretation also implies that a broader theory embodying QM is, at least in principle, possible.…”

“…We cannot yet prove this by providing a general perspective in which both approaches find a proper place, but we can show that an integration is possible in the case of the models introduced in the GB and SR approaches as intuitive supports to general reasonings (and also as a demonstration of consistency of some abstract assumptions, especially within the SR interpretation). To be precise, we intend to show in the present paper that a macroscopic version of the intuitive picture for the SR model provided in some previous papers [16], [17] (briefly, microscopic SR model in the following) can be constructed which embodies Aerts' quantum machine (which plays an important role in Aerts' approach since it provides a macroscopic model for spin measurements on spin-1 2 quantum systems). This unified (SR) model provides the same predictions as Aerts' quantum machine whenever one takes into account those and only those samples of the physical system under investigation that are actually detected if a measurement is performed.…”