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Journal Article

Gravity on a multifractal

MPS-Authors
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;

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Fulltext (public)

1012.1244.pdf
(Preprint), 99KB

PLB697_251.pdf
(Any fulltext), 118KB

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Citation

Calcagni, G. (2011). Gravity on a multifractal. Physics Letters B, 697, 251-253. doi:10.1016/j.physletb.2011.01.063.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-0902-D
Abstract
Despite their diversity, many of the most prominent candidate theories of quantum gravity share the property to be effectively lower-dimensional at small scales. In particular, dimension two plays a fundamental role in the finiteness of these models of Nature. Thus motivated, we entertain the idea that spacetime is a multifractal with integer dimension 4 at large scales, while it is two-dimensional in the ultraviolet. Consequences for particle physics, gravity and cosmology are discussed.