Quantum statistical gravity: time dilation due to local information in many-body quantum systems

8th International Workshop DICE2016: Spacetime - Matter - Quantum Mechanics

物理学;力学

Sels, Dries^1,2 ; Wouters, Michiel^1

TQC, Universiteit Antwerpen, Universiteitsplein 1, Antwerpen

B-2610, Belgium^1

Department of Physics, Boston University, Boston

MA

02215, United States^2

关键词: Classical systems;    Generic mechanism;    Gravitational potential;    Local information;    Local temperature;    Many-body quantum systems;    Mechanical motions;    Mutual informations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/880/1/012047/pdf
DOI  :  10.1088/1742-6596/880/1/012047

学科分类：力学，机械学

来源: IOP

【 摘 要 】

We propose a generic mechanism for the emergence of a gravitational potential that acts on all classical objects in a quantum system. Our conjecture is based on the analysis of mutual information in many-body quantum systems. Since measurements in quantum systems affect the surroundings through entanglement, a measurement at one position reduces the entropy in its neighbourhood. This reduction in entropy can be described by a local temperature, that is directly related to the gravitational potential. A crucial ingredient in our argument is that ideal classical mechanical motion occurs at constant probability. This definition is motivated by the analysis of entropic forces in classical systems.