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- Diederik Aerts, Sven Aerts
- 1994

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… (More)

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… (More)

- Diederik Aerts, Sven Aerts, Liane Gabora
- QI
- 2009

We prove a theorem that shows that a collection of experimental data of membership weights of items with respect to a pair of concepts and its conjunction cannot be modeled within a classical measure theoretic weight structure in case the experimental data contain the effect called overextension. Since the effect of overextension, analogue to the well-known… (More)

Sven Aerts1,∗, Paul Kwiat2,†, Jan-Åke Larsson3,‡, and Marek Żukowski 4,§ Fundamenten van de Exacte Wetenschappen, Vrije Universiteit Brussel, Triomflaan 2, 1050 Brussel, Belgium 2 P-23, MS-H803, Los Alamos National Laboratory, Los Alamos 87545, USA Matematiska Institutionen, Linköpings Universitet, SE-581 83 Linköping, Sweden Instytut Fizyki Teoretycznej i… (More)

- Sven Aerts
- 2005

We formalize the hidden measurement approach within the very general notion of an interactive probability model. We narrow down the model by assuming the state space of a physical entity is a complex Hilbert space and introduce the principle of consistent interaction which effectively partitions the space of apparatus states. The normalized measure of the… (More)

- Diederik Aerts, Sven Aerts
- 2004

We propose a general operational and realistic framework that aims at a generalization of quantum mechanics and relativity theory, such that both appear as special cases of this new theory. Our framework is operational, in the sense that all aspects are introduced with specific reference to events to be experienced, and realistic, in the sense that the… (More)

- Sven Aerts, Kirsty Kitto, Laurianne Sitbon
- QI
- 2011

Vector space based approaches to natural language processing are contrasted with human similarity judgements to show the manner in which human subjects fail to produce data which satisfies all requirements for a metric space. This result would constrains the validity and applicability vector space based (and hence also quantum inspired) approaches to the… (More)

- Diederik Aerts, Sven Aerts, Thomas Durt, Olivier LeÂveÃque
- 1998

We describe the probabilistic study of a hidden variable model in which the origin of the quantum probability is due to fluctuations of the internal state of the measuring apparatus. By varying the intensity of these fluctuations from zero to a maximal value, we describe in a heuristic manner the transition from classical behavior to quantum behavior. We… (More)

- Sven Aerts, Diederik Aerts, Franklin E. Schroeck, Jurgen Sachs
- 2006 14th European Signal Processing Conference
- 2006

To minimize the risks involved in humanitarian demining requires a sensitivity setting close to unity, resulting in a very high false alarm rate. Nuclear quadrupole resonance detection, based on the spin echoes from nuclear spin relaxation, is a promising example of a highly specific detector that directly addresses the properties of the explosive rather… (More)

The scientific fields of quantum mechanics and signal-analysis originated within different settings, aimed at different goals and started from different scientific paradigms. Yet the development of the two subjects has become increasingly intertwined. We argue that these similarities are rooted in the fact that both fields of scientific inquiry had to deal… (More)