Linking shape dynamics and loop quantum gravity

  title={Linking shape dynamics and loop quantum gravity},
  author={Lee Smolin},
  journal={Physical Review D},
  • L. Smolin
  • Published 10 July 2014
  • Physics
  • Physical Review D
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. 

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