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- Aerts, D. (1996). Framework for possible unification of quantum and relativity theories.
International Journal of Theoretical Physics,35,pp. 2399-2416.

Abstract:We put forward a framework, inspired by recent axiomatic and operational approaches to generalized quantum theories, wherein we investigate the possibility of unifying quantum theories and relativity theories. The framework concentrates on a detailed analysis of a general construction of reality, that can be used in both, quantum and relativity theories. By means of this construction of reality we clarify some well known conceptual problems that stand in the way for a conceptual unifcation of quantum and relativity theories on a more profound physical level than the purely mathematical algebraic level on which now unification attempts are investigated. More specifically we concentrate on the problem of 'what is physical reality' in quantum and relativity theories.- Aerts, D. (1996). Relativity theory: what is reality?.
Foundations of Physics,26,pp. 1627-1644.

Abstract:In classical Newtonian physics there was a clear understanding of 'what reality is'. Indeed in this classical view, reality at a certain time is the collection of all what is actual at this time, and this is contained in 'the present'. Often it is stated that three dimensional space and one dimensional time have been substituted by four dimensional space-time in relativity theory, and as a consequence the classical concept of reality, as that what is 'present', cannot be retained. Is reality then the four dimensional manifold of relativity theory? And if so, what is then the meaning of 'change in time' ? This problematic confronts a geometric view (as the Einsteinian interpretation of relativity theory) with a process view (where reality changes constantly in time). In this paper we investigate this problem, taking into account our insight in the nature of reality as it came by analyzing the problems of quantum mechanics. We show that with an Einsteinian interpretation of relativity theory, reality is indeed four dimensional, but there is no contradiction with the process view, where this reality changes in time.- Aerts, D. (1996). Quantum Physics at the Einstein meets Magritte conference.
International Journal of Theoretical Physics,35,pp. 2213-2214.- Aerts, D. and D'Hooghe, B. (1996). Operator structure of a non-quantum and a non-classical system.
International Journal of Theoretical Physics,35,pp. 2285-2298.

Abstract:There exists a connection between the vectors of the Poincare-sphere and the elements of the two dimensional complex Hilbert space. This latter space is used to describe spin 1/2 measurements. We will now use this connection to study the intermediate cases of a more general spin 1/2 measurement model which has no representation in a Hilbert space. We will construct the set of operators of this general model, and investigate under which circumstances it is possible to define linear operators. Because no Hilbert space structure is possible for these intermediate cases, it can be expected that no linear operators are possible and it is shown that under very plausible assumptions this is indeed the case.

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

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