Emergence of classical gravity and the objective reduction of the quantum state in deterministic models of quantum mechanics

Abstract

Models for deterministic quantum mechanics of Cartan-Randers type are introduced, together with the fundamental notions of the concentration of measure theory. We explain how the application of the concentration of measure to Cartan-Randers models provides a framework from which it emerge 1. The invariance under infinitesimal diffeomorphisms of the macroscopic dynamics 2. A mechanism for reduction of the quantum state and 3. The Weak Equivalence Principle.

8 pages; to appear in the Proceedings of DICE2014

References in corpus (3)

• The mathematical basis for deterministic quantum mechanics
• The Attractor and the Quantum States
• Does wave function collapse cause gravity?

Cited by in corpus (5)

• On the origin of the weak equivalence principle in a theory of emergent quantum mechanics
• General theory of non-reversible local dynamics
• Emergent quantum mechanics and the origin of quantum non-local correlations
• On the emergent origin of the inertial mass
• Hyperbolic space in the Newtonian limit: the cosmological constant