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

TL;DR

This paper introduces deterministic Cartan-Randers models for quantum mechanics, explaining how classical gravity and quantum state reduction emerge through measure concentration, invariance principles, and the Weak Equivalence Principle.

Contribution

It presents a novel deterministic framework for quantum mechanics that explains the emergence of classical gravity and quantum state reduction using measure concentration and invariance.

Findings

Emergence of classical gravity from deterministic models

Mechanism for quantum state reduction in the models

Invariance under diffeomorphisms and the Weak Equivalence Principle

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.