A proposal for a metaphysics of self-subsisting structures. II. Quantum physics

Abstract

The paper presents an extension of the metaphysics of self-subsisting structures set out in a companion paper to the realm of non-relativistic quantum physics. The discussion is centered around a Pure Shape Dynamics model representing a relational implementation of a de Broglie-Bohm $N$-body system. An interpretation of this model in terms of self-subsisting structures is proposed and assessed against the background of the debate on the metaphysics of quantum physics, with a particular emphasis on the nature of the wave function. The analysis shows that elaborating an appropriate Leibnizian/Machian metaphysics of the quantum world requires a substantial revision of the notion of world-building relation.

32 pages, forthcoming in Foundations of Physics

References in corpus (17)

• Cool horizons for entangled black holes
• Building up spacetime with quantum entanglement
• Quantum Equilibrium and the Origin of Absolute Uncertainty
• A Relativistic Version of the Ghirardi-Rimini-Weber Model
• Space from Hilbert Space: Recovering Geometry from Bulk Entanglement
• On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory
• Identification of a gravitational arrow of time
• On Galilean and Lorentz invariance in pilot-wave dynamics
• Seven Steps Towards the Classical World
• Quantum Motion on Shape Space and the Gauge Dependent Emergence of Dynamics and Probability in Absolute Space and Time
• Can Bohmian Mechanics Be Made Background Independent?
• On the Conceptual Issues Surrounding the Notion of Relational Bohmian Dynamics
• Dependence Relations in General Relativity
• Pure shape dynamics: General framework
• A Proposal for a Metaphysics of Self-Subsisting Structures. I. Classical Physics
• A de Broglie-Bohm Model of Pure Shape Dynamics: $N$-body system
• How Humean is Bohumianism?