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Diffusion in quantum geometry

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons4348

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

Externe Ressourcen
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Volltexte (frei zugänglich)

1204.2550
(Preprint), 160KB

1204.2550v2.pdf
(Preprint), 164KB

PRD86_044021.pdf
(beliebiger Volltext), 139KB

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Zitation

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


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-8706-D
Zusammenfassung
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.