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.

25 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 (4)

• The mathematical basis for deterministic quantum mechanics
• Emergent Quantum Mechanics and Emergent Symmetries
• Can quantum mechanics be an emergent phenomenon?
• Proposal for a new quantum theory of gravity

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