Summary: Published as: Aerts, D., 1993, "Quantum Structures due to fluctuations of the measurement situa-
tions", Int. J. Theor. Phys., 32, 2207 - 2220.
Quantum Structures due to fluctuations
of the measurement situations.
TENA, Free University of Brussels,
Pleinlaan 2, B-1050 Brussels, Belgium.
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 fluctuations 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