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- Aerts, D. (1993). Quantum structures due to fluctuations of the measurement situations.
International Journal of Theoretical Physics,32,pp. 2207-2220.

Abstract:We want to analyze in this paper the meaning of the non-classical aspects of quantum structures. We proceed by introducing a simple mechanistic macroscopic experimental situation that gives rise to quantum-like structures. We use this situation as a guiding example for our attempts to explain the origin of the non-classical aspects of quantum structures. We see that the quantum probabilities can be introduced as a consequence of the presence of ˇuctuations on the experimental apparatuses, and show that the full quantum structure can be obtained in this way. We define the classical limit as the physical situation that arises when the fluctuations on the experimental apparatuses disappear. In the limit case we come to a classical structure but in between we find structures that are neither quantum nor classical. In this sense, our approach not only gives an explanation for the non-classical structure of quantum theory, but also makes it possible to define, and study the structure describing the intermediate new situations. By investigating in which way the non-local quantum behavior disappears during the limiting process we can explain the 'apparent' locality of the classical macroscopical world. We come to the conclusion that quantum structures are the ordinary structures of reality, and that our difculties of becoming aware of this fact are due to pre-scientific prejudices, of which some of them we shall point out.- Aerts, D. 1993,
De Muze van het Leven, Quantummechanica en de Aard van de Werkelijkheid,Pelckmans, Kapellen, Agora Kok, Kampen.- Aerts, D., Durt, T., Grib, A., Van Bogaert, B. and Zapatrin, A. (1993). Quantum structures in macroscopical reality.
International Journal of Theoretical Physics,32, pp. 489-498.

Abstract:We want to show in this paper that it is possible to construct macroscopical entities that entail a quantum logical structure. We do this by means of the introduction of a simple macroscopical entity and study its structure in terms of lattices and graphs, and show that the lattice is non-Boolean.- Aerts, D., Durt, T., Van Bogaert, B. (1993). A physical example of quantum fuzzy sets and the classical limit.
Tatra Mountains Mathematical Publications,1,pp. 5-15.

Abstract:We present an explicit physical example of an experimental situation on a physical entity that gives rise to a fuzzy set. The fuzziness in the example is due to fluctuations of the experimental apparatus, and not to an indeterminacy about the states of the physical entity, and is described by a varying parameter epsilon. For zero value of the parameter (no fluctuations), the example reduces to a classical mechanics situation, and the corresponding fuzzy set is a quasi-crisp set. For maximal value (maximal fluctuations), the example gives rise to a quantum fuzzy set, more precisely a spin- 1/2 model. In between, we have a continuum of fuzzy situations, neither classical, nor quantum. We believe that the example can make us understand the nature of the quantum mechanical fuzziness and probability, and how these are related to the classical situation.- Aerts, D., Durt, T., Van Bogaert, B. (1993). Quantum probability, the classical limit and nonlocality. In K. V. Laurikainen and C. Montonen (Eds.),
Symposium on the Foundations of Modern Physics 1992: The Copenhagen Interpretation and Wolfgang Pauli(pp. 35-56). Singapore: World Scientific.

Abstract:We investigate quantum mechanics using an approach where the quantum probabilities arise as a consequence of the presence of fluc tuations on the experimental apparatuses. We show that the full quantum structure can be obtained in this way and define the classical limit as the physical situation that arises when the fluctuations on the experimental apparatuses disappear. In the limit case we come to a classical structure but in between we find structures that are neither quantum nor classical. In this sense, our approach not only gives an explanation for the non-classical structure of quantum theory, but also makes it possible to define, and study the structure describing the intermediate new situations. By investigating in which way the non-local quantum behaviour disappears during the limiting process we can explain the 'apparent' locality of the classical macroscopical world.

1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990,

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