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Publications in 1995




  1. Aerts, D. (1995). Quantum structures: an attempt to explain their appearance in nature. International Journal of Theoretical Physics, 34, pp. 1165-1186. Archive reference and link: http://uk.arxiv.org/abs/quant-ph/0111071. doi: 10.1007/BF00676227. dowload pdf.

    Abstract: We explain the quantum structure as due to the presence of two effects, (a) a real change of state of the entity under influence of the measurement and, (b) a lack of knowledge about a deeper deterministic reality of the measurement process. We present a quantum machine, where we can illustrate in a simple way how the quantum structure arises as a consequence of the two mentioned effects. We introduce a parameter epsilon that measures the size of the lack of knowledge on the measurement process, and by varying this parameter, we describe a continuous evolution from a quantum structure (maximal lack of knowledge) to a classical structure (zero lack of knowledge). We show that for intermediate values of epsilon we find a new type of structure, that is neither quantum nor classical. We apply the model that we have introduced to situations of lack of knowledge about the measurement process appearing in other regions of reality. More specifically we investigate the quantum-like structures that appear in the situation of psychological decision processes, where the subject is influenced during the testing, and forms some of his opinions during the testing process. Our conclusion is that in the light of this explanation, the quantum probabilities are epistemic and not ontological, which means that quantum mechanics is compatible with a determinism of the whole.

  2. Aerts, D. (1995). The game of the biomousa: A view of discovery and creation. In D. Aerts, L. Apostel, B. De Moor, S. Hellemans, E. Maex, H. Van Belle and J. Van der Veken (Eds.), Perspectives on the World, an Interdisciplinary Reflection (pp. 17-48). Brussels: VUBPress. download pdf.

  3. Aerts, D., Apostel, L., De Moor, B., Hellemans, S., Maex, E., Van Belle, H. and Van der Veken, J. (1995). Perspectives on the World, an Interdisciplinary Reflection. Brussels: VUBPress.

  4. Aerts, D. and Aerts, S. (1995). Applications of quantum statistics in psychological studies of decision processes. Foundations of Science, 1, pp. 85-97. doi: 10.1007/BF00208726. download pdf.

    Abstract: We present a new approach to the old problem of how to incorporate the role of the observer in statistics. We show classical probability theory to be inadequate for this task and take refuge in the epsilon-model, which is the only model known to us capable of handling situations between quantum and classical statistics. An example is worked out and some problems are discussed as to the new viewpoint that emanates from our approach.






1978, 1979, 1980,

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

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

2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010.

2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020.




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Last modified November 5, 2009, by Diederik Aerts