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

摘要

Models for deterministic quantum mechanics of Cartan-Randers type areintroduced, together with the fundamental notions of the concentration ofmeasure theory. We explain how the application of the concentration of measureto Cartan-Randers models provides a framework from which it emerge 1. Theinvariance under infinitesimal diffeomorphisms of the macroscopic dynamics 2. Amechanism for reduction of the quantum state and 3. The Weak EquivalencePrinciple.