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13An Assessment of Contemporary Polish OntologyIn Contemporary Polish Ontology, De Gruyter. pp. 271-294. 2019.
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11Zasada Leibniza w mechanice kwantowej (Tomasz Bigaj, Identity and Indiscernibility in Quantum Mechanics, Palgrave Macmillan, Springer Nature Switzerland, Cham 2022, 260 s.) (review)Przeglad Filozoficzny - Nowa Seria 89-93. 2022.
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12Quantum mechanics of identical particlesZagadnienia Filozoficzne W Nauce 72 169-178. 2022.Leibniz’s _principium identitatis indiscernibilium _excludes the existence of two different objects possessing all properties identical. Although perfectly acceptable for macroscopic systems, it becomes questionable in quantum mechanics, where the concept of identical particles is quite natural and has measurable consequences. On the other hand, Leibniz’s principle seems to be indispensable when we want to individuate an item and ascribe to it particular property (e.g. value of the projection of…Read more
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10No-signaling in topos formulation and a common ontological basis for classical and non-classical physical theoriesPhilosophical Problems in Science 69 129-143. 2020.Starting from logical structures of classical and quantum mechanics we reconstruct the logic of so-called no-signaling theories, where the correlations among subsystems of a composite system are restricted only by a simplest form of causality forbidding an instantaneous communication. Although such theories are, as it seems, irrelevant for the description of physical reality, they are helpful in understanding the relevance of quantum mechanics. The logical structure of each theory has an epistem…Read more
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41Category Theory in Physics, Mathematics, and Philosophy (edited book)Springer Verlag. 2019.The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, proc…Read more
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30Czy możemy wykazać istnienie zjawisk całkowicie przypadkowych?Philosophical Problems in Science 65 111-143. 2018.I show how classical and quantum physics approach the problem of randomness and probability. Contrary to popular opinions, neither we can prove that classical mechanics is a deterministic theory, nor that quantum mechanics is a nondeterministic one. In other words it is not possible to show that randomness in classical mechanics has a purely epistemic character and that of quantum mechanics an ontic one. Nevertheless, recent developments of quantum theory and increasing experimental possibilitie…Read more
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Interpretacja mechaniki kwantowej Everetta w świetle realizmu modalnego Lewisa i semantyki KripkegoPrzeglad Filozoficzny - Nowa Seria 66. 2008.
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11Non-signaling boxes and quantum logics,Journal of Physics A: Mathematical and Theoretical 48 505303. 2015.Using a quantum logic approach we analyze the structure of the so-called non-signaling theories respecting relativistic causality, but allowing correlations violating bounds imposed by quantum mechanics such as CHSH inequality. We discuss the relations among such theories, quantum mechanics, and classical physics. Our main result is the construction of a probability theory adequate for the simplest instance of a non-signaling theory—the two non-signaling boxes world—in which we exhibit its diffe…Read more
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94Level Dynamics and Universality of Spectral FluctuationsFoundations of Physics 31 (4): 613-622. 2001.The spectral fluctuations of quantum (or wave) systems with a chaotic classical (or ray) limit are mostly universal and faithful to random-matrix theory. Taking up ideas of Pechukas and Yukawa we show that equilibrium statistical mechanics for the fictitious gas of particles associated with the parametric motion of levels yields spectral fluctuations of the random-matrix type. Previously known clues to that goal are an appropriate equilibrium ensemble and a certain ergodicity of level dynamics. …Read more
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Warsaw University of TechnologyDepartment of Administration and Social SciencesProfessor (Part-time)
Areas of Specialization
Science, Logic, and Mathematics |