English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

Diffusion in quantum geometry

MPS-Authors
/persons/resource/persons4348

Calcagni,  Gianluca
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

1204.2550
(Preprint), 160KB

1204.2550v2.pdf
(Preprint), 164KB

PRD86_044021.pdf
(Any fulltext), 139KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Calcagni, G. (2012). Diffusion in quantum geometry. Physical Review D, 86: 044021. doi:10.1103/PhysRevD.86.044021.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-8706-D
Abstract
The change of the effective dimension of spacetime with the probed scale is a universal phenomenon shared by independent models of quantum gravity. Using tools of probability theory and multifractal geometry, we show how dimensional flow is controlled by a multiscale fractional diffusion equation, and physically interpreted as a composite stochastic process. The simplest example is a fractional telegraph process, describing quantum spacetimes with a spectral dimension equal to 2 in the ultraviolet and monotonically rising to 4 towards the infrared.