Gravity on a multifractal
arXiv:1012.1244 · doi:10.1016/j.physletb.2011.01.063
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.
7 pages; v2: reference added. Also appearing in the Proceedings of the 20th workshop on General Relativity and Gravitation in Japan (JGRG20), Yukawa Institute for Theoretical Physics, Kyoto University, 21-25 September, 2010
References in corpus (3)
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