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

[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.

[发布机构] TQC, Universiteit Antwerpen, Universiteitsplein 1, Antwerpen; B-2610, Belgium^1;Department of Physics, Boston University, Boston; MA; 02215, United States^2

[效力级别] 力学 [学科分类] 力学，机械学

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