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

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Torromé, Ricardo Gallego^1,2

Departamento de Matemática, Universidade Federal de São Carlos, Rodovia Washington Luis, km 235

SP, Brazil^1

Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, Trieste, Italy^2

关键词: Classical gravity;    Concentration of measure;    Deterministic models;    Diffeomorphisms;    Macroscopic dynamics;    Objective reductions;    Quantum state;    Weak equivalence principle;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012073/pdf
DOI  :  10.1088/1742-6596/626/1/012073

学科分类：力学，机械学

来源: IOP

【 摘 要 】

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.