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  1. On the Prospects of a de Broglie-Bohm-Barbour-Bertotti Theory.Antonio Vassallo & Pedro Naranjo - 2023 - In Andrea Oldofredi (ed.), Guiding Waves In Quantum Mechanics: 100 Years of de Broglie-Bohm Pilot-Wave Theory. Oxford University Press.
    Pure shape dynamics (PSD) is a novel implementation of the relational framework originally proposed by Julian Barbour and Bruno Bertotti. PSD represents a Leibnizian/Machian approach to physics in that it completely describes the dynamical evolution of a physical system without resorting to any structure external to the system itself. The chapter discusses how PSD effectively describes a de Broglie-Bohm N-body system and the conceptual benefits of such a relational description. The analysis will highlight the new directions in the quest for (...)
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  • On the Conceptual Issues Surrounding the Notion of Relational Bohmian Dynamics.Antonio Vassallo & Pui Him Ip - 2016 - Foundations of Physics 46 (8):943-972.
    The paper presents a program to construct a non-relativistic relational Bohmian theory, that is, a theory of N moving point-like particles that dispenses with space and time as fundamental background structures. The relational program proposed is based on the best-matching framework originally developed by Julian Barbour. In particular, the paper focuses on the conceptual problems that arise when trying to implement such a program. It is argued that pursuing a relational strategy in the Bohmian context leads to a more parsimonious (...)
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