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  1. Typicality, Irreversibility and the Status of Macroscopic Laws.Dustin Lazarovici & Paula Reichert - 2015 - Erkenntnis 80 (4):689-716.
    We discuss Boltzmann’s probabilistic explanation of the second law of thermodynamics providing a comprehensive presentation of what is called today the typicality account. Countering its misconception as an alternative explanation, we examine the relation between Boltzmann’s H-theorem and the general typicality argument demonstrating the conceptual continuity between the two. We then discuss the philosophical dimensions of the concept of typicality and its relevance for scientific reasoning in general, in particular for understanding the reduction of macroscopic laws to microscopic laws. Finally, (...)
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  2.  46
    Arrow of Time without a Past Hypothesis.Dustin Lazarovici & Paula Reichert - unknown
    The paper discusses recent proposals by Carroll and Chen, as well as Barbour, Koslowski, and Mercati to explain the arrow of time without a Past Hypothesis, i.e. the assumption of a special initial state of the universe. After discussing the role of the Past Hypothesis and the controversy about its status, we explain why Carroll's model - which establishes an arrow of time as typical - can ground sensible predictions and retrodictions without assuming something akin to a Past Hypothesis. We (...)
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  3.  35
    The Ergodic Hypothesis: A Typicality Statement.Paula Reichert - 2024 - In Angelo Bassi, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi (eds.), Physics and the Nature of Reality: Essays in Memory of Detlef Dürr. Springer. pp. 285-299.
    This paper analyzes the ergodic hypothesis in the context of Boltzmann’s late work in statistical mechanics, where Boltzmann lays the foundations for what is today known as the typicality account. I argue that, based on the concepts of stationarity (of the measure) and typicality (of the equilibrium state), the ergodic hypothesis, as an idealization, is a consequence rather than an assumption of Boltzmann’s account. More precisely, it can be shown that every system with a stationary measure and an equilibrium state (...)
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    Essentially Ergodic Behaviour.Paula Reichert - 2020 - British Journal for the Philosophy of Science (online):axaa007.
    I prove a theorem on the precise connection of the time and phase-space average of the Boltzmann equilibrium showing that the behaviour of a dynamical system with a stationary measure and a dominant equilibrium state is qualitatively ergodic. Explicitly, I show that given a dynamical system with a stationary measure and a region of overwhelming phase-space measure, almost all trajectories spend almost all of their time in that region. Conversely, given that almost all trajectories spend almost all of their time (...)
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    Essentially Ergodic Behaviour.Paula Reichert - 2023 - British Journal for the Philosophy of Science 74 (1):57-73.
    I prove a theorem on the precise connection of the time and phase-space average of the Boltzmann equilibrium showing that the behaviour of a dynamical system with a stationary measure and a dominant equilibrium state is qualitatively ergodic. Explicitly, I show that given a dynamical system with a stationary measure and a region of overwhelming phase-space measure, almost all trajectories spend almost all of their time in that region. Conversely, given that almost all trajectories spend almost all of their time (...)
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  6.  32
    The Point of Primitive Ontology.Paula Reichert & Dustin Lazarovici - 2022 - Foundations of Physics 52 (6):1-18.
    AbstractBohmian mechanics grounds the predictions of quantum mechanics in precise dynamical laws for a primitive ontology of point particles. In an appraisal of the de-Broglie–Bohm theory, the paper discusses the crucial epistemological and conceptual role that a primitive ontology plays within a physical theory. It argues that quantum theories without primitive ontology fail to make contact with observable reality in a clear and consistent manner. Finally, it discusses Einstein’s epistemological model and why it supports the primitive ontology approach.
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    Investigating Total Collisions of the Newtonian N-Body Problem on Shape Space.Paula Reichert - 2021 - Foundations of Physics 51 (2):1-29.
    We analyze the points of total collision of the Newtonian gravitational system on shape space (the relational configuration space of the system). While the Newtonian equations of motion, formulated with respect to absolute space and time, are singular at the point of total collision due to the singularity of the Newton potential at that point, this need not be the case on shape space where absolute scale doesn’t exist. We investigate whether, adopting a relational description of the system, the shape (...)
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  8. Total Collisions in the N-Body Shape Space.Paula Reichert & Flavio Mercati - 2021 - Symmetry 13(9), 1712.
    We discuss the total collision singularities of the gravitational N-body problem on shape space. Shape space is the relational configuration space of the system obtained by quotienting ordinary configuration space with respect to the similarity group of total translations, rotations, and scalings. For the zero-energy gravitating N-body system, the dynamics on shape space can be constructed explicitly and the points of total collision, which are the points of central configuration and zero shape momenta, can be analyzed in detail. It turns (...)
     
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  9. Total Collisions in the N-Body Shape Space.Paula Reichert - 2021 - Symmetry 2021, 13(9), 1712.
    We discuss the total collision singularities of the gravitational N-body problem on shape space. Shape space is the relational configuration space of the system obtained by quotienting ordinary configuration space with respect to the similarity group of total translations, rotations, and scalings. For the zero-energy gravitating N-body system, the dynamics on shape space can be constructed explicitly and the points of total collision, which are the points of central configuration and zero shape momenta, can be analyzed in detail. It turns (...)
     
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