Matrix universality of gauge and gravitational dynamics

Date
Authors
Smolin, Lee
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
A simple cubic matrix model is presented, which has truncations that, it is argued, lead at the classical level to a variety of theories of gauge fields and gravity. These include Chern-Simons theory in d=3, and BF theory and general relativity in d=4. General relativity coupled to Yang-mills theory for any SU(N) may also arise from quantum corrections. On the basis of these results we conjecture that there are large universality classes of cut-off gauge and gravity theories, connected by transformations that mix up local and spacetime symmetries. If our universe is described by one of these theories then the question of the choice of the laws of physics is to a large extent subsumed in the problem of the choice of initial conditions in cosmology.
Comment: 21 pages, no figures, corrected version, references expanded
Keywords
High Energy Physics - Theory
Citation
Collections