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Summary: Published in the Proceedings of the International Symposium on the Foundations of Modern
Physics 1993, Helsinki, Finland, ed. Hyvonen, T., World Scientific, Singapore, 35 - 56.
Quantum Probability, the Classical Limit and Non-Locality.
Diederik Aerts, Thomas Durt and Bruno Van Bogaert,
FUND, Free University of Brussels, Pleinlaan 2,
B-1050 Brussels, Belgium, diraerts@vub.ac.be
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 classi-
cal 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 nei-
ther 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
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