A de Broglie-Bohm Model of Pure Shape Dynamics: $N$-body system

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.

arXiv comment24 pages, 2 figures

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Cited by in corpus (3)

• A proposal for a metaphysics of self-subsisting structures. II. Quantum physics
• Pure shape dynamics, self-subsisting structures, and the nature of time
• Shape space as a conceptual space