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  1. Relational Quantum Mechanics and Intuitionistic Mathematics.Charles B. Crane - 2024 - Foundations of Physics 54 (3):1-12.
    We propose a model of physics that blends Rovelli’s relational quantum mechanics (RQM) interpretation with the language of finite information quantities (FIQs), defined by Gisin and Del Santo in the spirit of intuitionistic mathematics. We discuss deficiencies of using real numbers to model physical systems in general, and particularly under the RQM interpretation. With this motivation for an alternative mathematical language, we propose the use of FIQs to model the world under the RQM interpretation, wherein we view the propensities that (...)
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  • Potentiality realism: a realistic and indeterministic physics based on propensities.Flavio Del Santo & Nicolas Gisin - 2023 - European Journal for Philosophy of Science 13 (4):1-16.
    We propose an interpretation of physics named potentiality realism. This view, which can be applied to classical as well as to quantum physics, regards potentialities (i.e. intrinsic, objective propensities for individual events to obtain) as elements of reality, thereby complementing the actual properties taken by physical variables. This allows one to naturally reconcile realism and fundamental indeterminism in any theoretical framework. We discuss our specific interpretation of propensities, that require them to depart from being probabilities at the formal level, though (...)
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  • The Open Past in an Indeterministic Physics.Nicolas Gisin & Flavio Del Santo - 2022 - Foundations of Physics 53 (1):1-11.
    Discussions on indeterminism in physics focus on the possibility of an open future, i.e. the possibility of having potential alternative future events, the realisation of one of which is not fully determined by the present state of affairs. Yet, can indeterminism affect also the past, making it open as well? We show that by upholding principles of finiteness of information one can entail such a possibility. We provide a toy model that shows how the past could be fundamentally indeterminate, while (...)
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  • Lorentz Transformation Under a Discrete Dynamical Time and Continuous Space.Roland Riek - 2022 - Foundations of Physics 52 (5):1-12.
    The Lorentz transformation of space and time between two reference frames is one of the pillars of the special relativity theory. As a result of the Lorentz transformation, space and time are only relative and are entangled, while the Minkowski metric is Lorentz invariant. For this reason, the Lorentz transformation is one of the major obstructions in the development of physical theories with quantized space and time. Here is described the Lorentz transformation of a physical system with a discrete dynamical (...)
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  • Indeterminism in physics and intuitionistic mathematics.Nicolas Gisin - 2021 - Synthese 199 (5-6):13345-13371.
    Most physics theories are deterministic, with the notable exception of quantum mechanics which, however, comes plagued by the so-called measurement problem. This state of affairs might well be due to the inability of standard mathematics to “speak” of indeterminism, its inability to present us a worldview in which new information is created as time passes. In such a case, scientific determinism would only be an illusion due to the timeless mathematical language scientists use. To investigate this possibility it is necessary (...)
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  • The Ontic Probability Interpretation of Quantum Theory - Part III: Schrödinger’s Cat and the ‘Basis’ and ‘Measurement’ Pseudo-Problems (2nd edition).Felix Alba-Juez - manuscript
    Most of us are either philosophically naïve scientists or scientifically naïve philosophers, so we misjudged Schrödinger’s “very burlesque” portrait of Quantum Theory (QT) as a profound conundrum. The clear signs of a strawman argument were ignored. The Ontic Probability Interpretation (TOPI) is a metatheory: a theory about the meaning of QT. Ironically, equating Reality with Actuality cannot explain actual data, justifying the century-long philosophical struggle. The actual is real but not everything real is actual. The ontic character of the Probable (...)
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  • Human sciences and quantum mechanics (гуманитарные науки и квантовая механика).Francois-Igor Pris - 2020 - Philosophy of Science (Философия Науки) Новосибирск 2 (85):113-130.
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