English

Linking shape dynamics and loop quantum gravity

General Relativity and Quantum Cosmology 2017-05-26 v2 High Energy Physics - Theory

Abstract

Shape dynamics is a reformulation of general relativity, locally equivalent to Einstein's theory, in which the refoliation invariance of the older theory is traded for local scale invariance. Shape dynamics is here derived in a formulation related to the Ashtekar variables by beginning with a modification of the Plebanski action. The constraints of shape dynamics and their algebra are reproduced in terms of these new variables.

Keywords

Cite

@article{arxiv.1407.2909,
  title  = {Linking shape dynamics and loop quantum gravity},
  author = {Lee Smolin},
  journal= {arXiv preprint arXiv:1407.2909},
  year   = {2017}
}

Comments

12 pages, no figures, mistake fixed, other small changes

R2 v1 2026-06-22T05:01:04.657Z