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- Aerts, D. and Aerts, S. (1997). Application of quantum statistics in psychological studies of decision processes. In B. C. van Fraassen (Ed.),
Topics in the Foundation of Statistics,Kluwer Academic, Dordrecht.- Aerts, D. and Aerts, S. (1997). The hidden measurement formalism: quantum mechanics as a consequence of fluctuations on the measurement. In M. Ferrero and A. van der Merwe (Eds.),
New Developments on Fundamental Problems in Quantum Physics(pp. 1-6). Dordrecht: Kluwer Academic.- Aerts, D., Aerts, S., Coecke, B., D'Hooghe, B., Durt, T. and Valckenborgh, F. (1997). A model with varying fluctuations in the measurement context. In M. Ferrero and A. van der Merwe (Eds.),
New Developments on Fundamental Problems in Quantum Physics(pp. 7-9). Dordrecht: Kluwer Academic.- Aerts, D., Coecke, B., D'Hooghe, B. and Valckenborgh, F. (1997). A mechanistic macroscopical physical entity with a three dimensional Hilbert space quantum description.
Helvetica Physica Acta,70,pp. 793-802. Archive reference and link: http://uk.arxiv.org/abs/quant-ph/0111074.

Abstract:It is sometimes stated that Gleason's theorem prevents the construction of hidden-variable models for quantum entities described in a more than two-dimensional Hilbert space. In this paper however we explicitly construct a classical (macroscopical) system that can be represented in a three-dimensional real Hilbert space, the probability structure appearing as the result of a lack of knowledge about the measurement context. We briefly discuss Gleason's theorem from this point of view.- Aerts, D., Coecke, B., Durt, T. and Valckenborgh, F. (1997). Quantum, classical and intermediate I: a model on the poincare sphere.
Tatra Mountains Mathematical Publications,10,p. 225.

Abstract:Following an approach, that we have called the hidden-measurement approach, where the probability structure of quantum mechanics is explained as being due to the presence of fluctuations on the measurement situations, we introduce explicitly a variation of these fluctuations, with the aim of defining a procedure for the classical limit. We study a concrete physical entity and show that for maximal fluctuations the entity is described by a quantum model, isomorphic to the model of the spin of a spin 1/2 quantum entity. For zero fluctuations we find a classical structure, and for intermediate fluctuations we find a structure that is neither quantum nor classical, to which we shall refer as the 'intermediate' situation.- Aerts, D., Coecke, B., Durt, T. and Valckenborgh, F. (1997). Quantum, classical and intermediate II: the vanishing vector space structure.
Tatra Mountains Mathematical Publications,10,p. 241.

Abstract:We put forward an approach where physical entities are described by the set of their states, and the set of their relevant experiments. In this framework we will study a general entity that is neither quantum nor classical. We show that the collection of eigenstate sets forms a closure structure on the set of states. We also illustrate this framework on a concrete physical example, the epsilon-example. this leads us to a model for a continuous evolution from the linear closure in vector space to the standard topological closure.- Aerts, D., Veretennicoff, I. (1997). Niet-ruimtelijkheid als werktuig. In J. Van Pelt,
Grenzeloze Wetenschap: Dertig Gesprekken met Vlamingen over Onderzoek. Leuven-Apeldoorn: Garant.

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1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000,