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Towards a general operational and realistic framework for quantum mechanics and relativity theory
 

Summary: Towards a general operational and realistic framework for
quantum mechanics and relativity theory
Diederik Aerts and Sven Aerts
Center Leo Apostel (CLEA) and Department of Mathematics (FUND),
Brussels Free University, Krijgskundestraat 33, 1160 Brussels, Belgium.
diraerts@vub.ac.be, saerts@vub.ac.be
Abstract
We propose a general operational and realistic framework that aims at a generalization of quantum
mechanics and relativity theory, such that both appear as special cases of this new theory. Our
framework is operational, in the sense that all aspects are introduced with specific reference to events
to be experienced, and realistic, in the sense that the hypothesis of an independent existing reality is
taken seriously. To come to this framework we present a detailed study of standard quantum mechanics
within the axiomatic approach to quantum mechanics, more specifically the Geneva-Brussels approach,
identifying two of the traditional 6 axioms as `failing axioms'. We prove that these two failing axioms
are at the origin of the impossibility for standard quantum mechanics to describe a continuous change
from quantum to classical and hence its inability to describe macroscopic physical reality. Moreover
we show that the same two axioms are also at the origin of the impossibility for standard quantum
mechanics to deliver a model for the compound entity of two `separated' quantum entities. We put
forward that it is necessary to replace these two axioms in order to proceed to the more general theory.
Next we analyze the nature of the quantum probability model and show that it can be interpreted as

  

Source: Aerts, Diederik - Leo Apostel Centre, Vrije Universiteit Brussel

 

Collections: Multidisciplinary Databases and Resources; Physics