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- Aerts, D. (2000). The description of joint quantum entities and the formulation of a paradox.
International Journal of Theoretical Physics,39,pp. 485-496. Archive reference and link: http://uk.arxiv.org/abs/quant-ph/0105106.

Abstract:We formulate a paradox in relation to the description of a joint entity consisting of two subentities by standard quantum mechanics. We put forward a proposal for a possible solution, entailing the interpretation of 'density states' as 'pure states'. We explain where the inspiration for this proposal comes from and how its validity can be tested experimentally. We discuss the consequences on quantum axiomatics of the proposal.- Aerts, D. (2000). Quantum, mimesis and the social sciences.
Foundations of Science,5, 1-2.- Aerts, D., Aerts, S., Broekaert, J. and Gabora, L. (2000). The violation of Bell inequalities in the macroworld.
Foundations of Physics,30,pp. 1387-1414. Archive reference and link: http://uk.arxiv.org/abs/quant-ph/0007044.

Abstract:We show that Bell inequalities can be violated in the macroscopic world. The macroworld violation is illustrated using an example involving connected vessels of water. We show that whether the violation of inequalities occurs in the microworld or in the macroworld, it is the identification of nonidentical events that plays a crucial role. Specifically, we prove that if nonidentical events are consistently differentiated, Bell-type Pitowsky inequalities are no longer violated, even for Bohm's example of two entangled spin 1/2 quantum particles. We show how Bell inequalities can be violated in cognition, specifically in the relationship between abstract concepts and specific instances of these concepts. This supports the hypothesis that genuine quantum structure exists in the mind. We introduce a model where the amount of nonlocality and the degree of quantum uncertainty are parameterized, and demonstrate that increasing nonlocality increases the degree of violation, while increasing quantum uncertainty decreases the degree of violation.- Aerts, D., Cattaneo, G., Dvurecenski, A. and Giuntini, R. (2000). Interdisciplinary studies of quantum structures.
Foundations of Physics,30,pp. 1331-1335.- Aerts, D., D'Hondt, E. and Gabora, L. (2000). Why the disjunction in quantum logic is not classical.
Foundations of Physics,30,pp. 1473-1480. Archive reference and link: http://uk.arxiv.org/abs/quant-ph/0007041.

Abstract:In this paper, the quantum logical 'or' is analyzed from a physical perspective. We show that it is the existence of EPR-like correlation states for the quantum mechanical entity under consideration that make it nonequivalent to the classical situation. Specifically, the presence of potentiality in these correlation states gives rise to the quantum deviation from the classical logical 'or'. We show how this arises not only in the microworld, but also in macroscopic situations where EPR-like correlation states are present. We investigate how application of this analysis to concepts could alleviate some well known problems in cognitive science.- Aerts, D. and Van Steirteghem, B. (2000). Quantum axiomatics and a theorem of M.P. Soler.
International Journal of Theoretical Physics,39,pp. 497-502. Archive reference and link: http://uk.arxiv.org/abs/quant-ph/0105107.

Abstract:Three of the traditional quantum axioms (orthocomplementation, ortho modularity and the covering law) show incompatibilities with two products introduced by Aerts for the description of joint entities. Inspired by Soler's theorem and Holland's AUG axiom, we propose a property of 'plane transitivity', which also characterizes classical Hilbert spaces among infinite dimensional orthomodular spaces, as a possible partial substitute for the 'defective' axioms.

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

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