Fractal spacetimes in stochastic gravity? _ views from anomalous diffusion and the correlation hierarchy

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

物理学;力学

Hu, B.L.^1

Maryland Center for Fundamental Physics, Joint Quantum Institute, University of Maryland, College Park

MD

20742, United States^1

关键词: Anomalous diffusion;    Conceptual frameworks;    Geometric objects;    Higher order correlation;    Langevin equation;    Multi-scale structures;    Non-Gaussian noise;    Quantum gravity;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/880/1/012004/pdf
DOI  :  10.1088/1742-6596/880/1/012004

学科分类：力学，机械学

来源: IOP

【 摘 要 】

We explore in stochastic gravity theory whether non-Gaussian noises from the higher order correlation functions of the stress tensor for quantum matter fields when back-reacting on the spacetime may reveal hints of multi-scale structures. Anomalous diffusion may depict how a test particle experiences in a fractal spacetime. The hierarchy of correlations in quantum matter field induces the hierarchy of correlations in geometric objects via the set of Einstein-Langevin equations for each correlation order. This correlation hierarchy kinetic theory conceptual framework, aided by the characteristics of stochastic processes, may serve as a conduit for connecting the low energy 'Bottom-Up' approach with the 'Top-Down' theories of quantum gravity which predict the appearance of fractal spacetimes at the Planck scale.