Gravity on a multifractal

Details Gravity on a multifractal Gravity on a multifractal

2010-12-06

arxiv.org/abs/1012.1244v2

Phys. Lett. B697:251-253,2011

Physics

High Energy Physics

High Energy Physics - Theory

7 pages; v2: reference added. Also appearing in the Proceedings of the 20th workshop on General Relativity and Gravitation in

Scientific paper

10.1016/j.physletb.2011.01.063

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.

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