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  1. Brussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincaré Systems and Rigged Hilbert Space.Robert Bishop - manuscript
    This second part of a two-part essay discusses recent developments in the Brussels-Austin Group after the mid 1980s. The fundamental concerns are the same as in their similarity transformation approach (see Part I), but the contemporary approach utilizes rigged Hilbert space (whereas the older approach used Hilbert space). While the emphasis on nonequilibrium statistical mechanics remains the same, the use of similarity transformations shifts to the background. In its place arose an interest in the physical features of large Poincaré systems, (...)
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  • Time's Arrow and Irreversibility in Time‐Asymmetric Quantum Mechanics.Mario Castagnino, Manuel Gadella & Olimpia Lombardi - 2005 - International Studies in the Philosophy of Science 19 (3):223 – 243.
    The aim of this paper is to analyze time-asymmetric quantum mechanics with respect to the problems of irreversibility and of time's arrow. We begin with arguing that both problems are conceptually different. Then, we show that, contrary to a common opinion, the theory's ability to describe irreversible quantum processes is not a consequence of the semigroup evolution laws expressing the non-time-reversal invariance of the theory. Finally, we argue that time-asymmetric quantum mechanics, either in Prigogine's version or in Bohm's version, does (...)
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  • The Fundamental Arrow of Time in Classical Cosmology.Daniel Wohlfarth - unknown
    The aim of this paper is to show that a new understanding of fundamentality, can be applied successfully in classical cosmology and is able to improve a fundamental understanding of cosmological time asymmetries. In the introduction, I refer to various views from different literature. I begin by arguing against various arguments, provided in favour of the view that the directedness of time is not a fundamental property of nature, ]) in section 1.1. Next, in section 1.2, I refer to some (...)
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  • Nonequilibrium Statistical Mechanics Brussels–Austin Style.Robert C. Bishop - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (1):1-30.
    The fundamental problem on which Ilya Prigogine and the Brussels–Austin Group have focused can be stated briefly as follows. Our observations indicate that there is an arrow of time in our experience of the world (e.g., decay of unstable radioactive atoms like uranium, or the mixing of cream in coffee). Most of the fundamental equations of physics are time reversible, however, presenting an apparent conflict between our theoretical descriptions and experimental observations. Many have thought that the observed arrow of time (...)
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