Gravity on a multifractal
High Energy Physics - Theory
2015-03-17 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1012.1244,
title = {Gravity on a multifractal},
author = {Gianluca Calcagni},
journal= {arXiv preprint arXiv:1012.1244},
year = {2015}
}
Comments
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