Quantum Machine and Semantic Realism Approach: a Unified Model

Abstract

The Geneva-Brussels approach to quantum mechanics (QM) and the semantic realism (SR) nonstandard interpretation of QM exhibit some common features and some deep conceptual differences. We discuss in this paper two elementary models provided in the two approaches as intuitive supports to general reasonings and as a proof of consistency of general assumptions, and show that Aerts' quantum machine can be embodied into a macroscopic version of the microscopic SR model, overcoming the seeming incompatibility between the two models. This result provides some hints for the construction of a unified perspective in which the two approaches can be properly placed.

Quantum Axiomatics: Topological and Classical Properties of State Property Systems

“…We consider the (ε, d)-model on the Poincaré sphere S 2 ⊆ R 3 which was proposed in [5,8] to study axiomatically 'in between quantum and classical' situations and the classical limit, and which is an elaboration of the spin models developed in Aerts [2], and also studied in Czachor [13] and Garola, Pykacz and Sozzo [18].…”

Embedding Quantum Mechanics Into a Broader Noncontextual Theory: A Conciliatory Result

“…As we have anticipated in Sect. 1, the ESR model has been proposed by one of the authors few years ago [12,13,14,15,16] and we aim to present here an improved version of it, together with a more complete treatment of idealized measurements.…”

“…The above notion of objectivity is strictly linked with the notion of contextuality, which is broadly used in the literature. To be precise, the latter notion occurs in at least two different senses [16].…”

“…Unfortunately, it is scarcely intuitive and may seem founded on a problematic epistemological analysis to many pragmatically oriented physicists. Therefore the same authors have proposed an SR model [12,13] and an extended SR (briefly, ESR) model [13,14,15,16] which introduce a more intuitive picture of the physical world which is consistent with the SR interpretation. We intend to show in this paper that the ESR model provides a general scheme for an objective theory embodying the mathematical apparatus of QM.…”

О Физической Интерпретации Частичных Следов: Две Нестандартные Точки Зрения

“…Заметим, что упомянутые выше подходы имеют некоторое количество общих черт и, по-видимому, позволяют прийти к одинаковым заключениям относительно многих проблематичных аспектов КМ [10], [11]. В частности, как брюссельский, так и Лечче-подход предполагают, что может существовать более широкая теория, включающая в себя КМ, но утверждающая больше нее.…”