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  1. Diederik Aerts, Jan Broekaert, Liane Gabora & Sandro Sozzo (2013). Quantum Structure and Human Thought. Behavioral and Brain Sciences 36 (3):274-276.
    We support the authors' claims, except that we point out that also quantum structure different from quantum probability abundantly plays a role in human cognition. We put forward several elements to illustrate our point, mentioning entanglement, contextuality, interference, and emergence as effects, and states, observables, complex numbers, and Fock space as specific mathematical structures.
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  2. Jan Broekaert (2008). A Spatially-VSL Gravity Model with 1-PN Limit of GRT. Foundations of Physics 38 (5):409-435.
    In the static field configuration, a spatially-Variable Speed of Light (VSL) scalar gravity model with Lorentz-Poincaré interpretation was shown to reproduce the phenomenology implied by the Schwarzschild metric. In the present development, we effectively cover configurations with source kinematics due to an induced sweep velocity field w. The scalar-vector model now provides a Hamiltonian description for particles and photons in full accordance with the first Post-Newtonian (1-PN) approximation of General Relativity Theory (GRT). This result requires the validity of Poincaré’s Principle (...)
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  3. Jan Broekaert, Diederik Aerts & Bart D’Hooghe (2006). The Generalised Liar Paradox: A Quantum Model and Interpretation. [REVIEW] Foundations of Science 11 (4):399-418.
    The formalism of abstracted quantum mechanics is applied in a model of the generalized Liar Paradox. Here, the Liar Paradox, a consistently testable configuration of logical truth properties, is considered a dynamic conceptual entity in the cognitive sphere (Aerts, Broekaert, & Smets, [Foundations of Science 1999, 4, 115–132; International Journal of Theoretical Physics, 2000, 38, 3231–3239]; Aerts and colleagues[Dialogue in Psychology, 1999, 10; Proceedings of Fundamental Approachs to Consciousness, Tokyo ’99; Mind in Interaction]. Basically, the intrinsic contextuality of the truth-value (...)
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  4. Jan Broekaert (2005). A Modified Lorentz-Transformation–Based Gravity Model Confirming Basic GRT Experiments. Foundations of Physics 35 (5):839-864.
    Implementing Poincaré’s geometric conventionalism a scalar Lorentz-covariant gravity model is obtained based on gravitationally modified Lorentz transformations (or GMLT). The modification essentially consists of an appropriate space-time and momentum-energy scaling (“normalization”) relative to a nondynamical flat background geometry according to an isotropic, nonsingular gravitational affecting function Φ(r). Elimination of the gravitationally unaffected S 0 perspective by local composition of space–time GMLT recovers the local Minkowskian metric and thus preserves the invariance of the locally observed velocity of light. The associated energy-momentum (...)
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  5. Diederik Aerts, Sven Aerts, Jan Broekaert & Liane Gabora (2000). The Violation of Bell Inequalities in the Macroworld. Foundations of Physics 30 (9):1387-1414.
    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 the macroworld, it is the identification of nonidentical events that plays a crucial role. Specifically, we prove that if nonidentical events are consistently differentiated, Bell-type Pitowsky inequalities are no longer violated, even for Bohm's example of two entangled spin 1/2 quantum particles. We (...)
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  6. Diederik Aerts, Jan Broekaert & Liane Gabora, Intrinsic Contextuality as the Crux of Consciousness.
    A stream of conscious experience is extremely contextual; it is impacted by sensory stimuli, drives and emotions, and the web of associations that link, directly or indirectly, the subject of experience to other elements of the individual's worldview. The contextuality of one's conscious experience both enhances and constrains the contextuality of one's behavior. Since we cannot know first-hand the conscious experience of another, it is by way of behavioral contextuality that we make judgements about whether or not, and to what (...)
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  7. Jan Broekaert & Bart D'Hooghe (2000). A Model with Quantum Logic, but Non-Quantum Probability: The Product Test Issue. [REVIEW] Foundations of Physics 30 (9):1481-1501.
    We introduce a model with a set of experiments of which the probabilities of the outcomes coincide with the quantum probabilities for the spin measurements of a quantum spin- $ \frac{1}{2} $ particle. Product tests are defined which allow simultaneous measurements of incompatible observables, which leads to a discussion of the validity of the meet of two propositions as the algebraic model for conjunction in quantum logic. Although the entity possesses the same structure for the logic of its experimental propositions (...)
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  8. Diederik Aerts, Jan Broekaert & Liane Gabora (1999). Editorial: Formal and Informal Representations of Science. [REVIEW] Foundations of Science 4 (1):1-2.
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  9. Diederik Aerts, Jan Broekaert & Ernest Mathijs (eds.) (1999). Einstein Meets Magritte: An Interdisciplinary Reflection: The White Book of "Einstein Meets Magritte". Kluwer Academic.
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  10. Diederik Aerts, Jan Broekaert & Sonja Smets (1999). The Liar-Paradox in a Quantum Mechanical Perspective. Foundations of Science 4 (2):115-132.
    In this paper we concentrate on the nature of the liar paradox asa cognitive entity; a consistently testable configuration of properties. We elaborate further on a quantum mechanical model (Aerts, Broekaert and Smets, 1999) that has been proposed to analyze the dynamics involved, and we focus on the interpretation and concomitant philosophical picture. Some conclusions we draw from our model favor an effective realistic interpretation of cognitive reality.
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  11. Diederik Aerts, Jan Broekaert & Sonja Smets (1998). Inconsistencies in Constituent Theories of World Views: Quantum Mechanical Examples. [REVIEW] Foundations of Science 3 (2):313-340.
    We put forward the hypothesis that there exist three basic attitudes towards inconsistencies within world views: (1) The inconsistency is tolerated temporarily and is viewed as an expression of a temporary lack of knowledge due to an incomplete or wrong theory. The resolution of the inconsistency is believed to be inherent to the improvement of the theory. This improvement ultimately resolves the contradiction and therefore we call this attitude the ‘regularising’ attitude; (2) The inconsistency is tolerated and both contradicting elements (...)
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