On the origin of the weak equivalence principle in a theory of emergent quantum mechanics

Abstract

We argue that in a framework for emergent quantum mechanics, the weak equivalence principle is a consequence of concentration of measure in large dimensional spaces of $1$-Lipshitz functions. Furthermore, as a consequence of the emergent framework and the properties that we assume for the fundamental dynamics, it is argued that gravity must be a classical, emergent interaction.

arXiv comment25 pages; no figures. Accepted for publication in International Journal of Geometric Methods in Modern Physics. arXiv admin note: substantial text overlap with arXiv:1402.5070

References in corpus (12)

• Quantum Gravity as a Dissipative Deterministic System
• Survey of Two-Time Physics
• The mathematical basis for deterministic quantum mechanics
• On determinism and well-posedness in multiple time dimensions
• Emergent Quantum Mechanics and Emergent Symmetries
• A Finslerian version of 't Hooft Deterministic Quantum Models
• Can quantum mechanics be an emergent phenomenon?
• Emergence of Quantum Mechanics from a Sub-Quantum Statistical Mechanics
• Maximal acceleration geometries and spacetime curvature bounds
• Proposal for a new quantum theory of gravity
• Emergence of classical gravity and the objective reduction of the quantum state in deterministic models of quantum mechanics
• Emergent quantum mechanics and the origin of quantum non-local correlations

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• On Penrose's theory of objective gravitationally induced wave function reduction