•  78
    Level Dynamics and Universality of Spectral Fluctuations
    with Peter Braun, Sven Gnutzmann, Fritz Haake, and Karol Życzkowski
    Foundations 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
  •  11
    Non-signaling boxes and quantum logics,
    with T. I. Tylec
    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
  •  10
    Czy 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