A de Broglie–Bohm Model of Pure Shape Dynamics: N-Body system

Foundations of Physics 54 (3):1-26 (2024)
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Abstract

We provide the construction of a de Broglie–Bohm model of the N-body system within the framework of Pure Shape Dynamics. The equation of state of the curve in shape space is worked out, with the instantaneous shape being guided by a wave function. In order to get a better understanding of the dynamical system, we also give some numerical analysis of the 3-body case. Remarkably enough, our simulations typically show the attractor-driven behaviour of complexity, well known in the classical case, thereby providing further evidence for the claim that the arrow of complexity is the ultimate cause of the experienced arrow of time.

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Author Profiles

Antonio Vassallo
Warsaw University of Technology
Tim Koslowski
University of Würzburg

Citations of this work

Pure shape dynamics, self-subsisting structures, and the nature of time.Antonio Vassallo & Pedro Naranjo - 2024 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-21.

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References found in this work

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‘Einselection’ of pointer observables: The new H-theorem?Ruth E. Kastner - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 48 (1):56-58.
Why Bohm's theory solves the measurement problem.Tim Maudlin - 1995 - Philosophy of Science 62 (3):479-483.
Beyond the Born Rule in Quantum Gravity.Antony Valentini - 2022 - Foundations of Physics 53 (1):1-36.

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