# Linking shape dynamics and loop quantum gravity

@article{Smolin2014LinkingSD, title={Linking shape dynamics and loop quantum gravity}, author={Lee Smolin}, journal={Physical Review D}, year={2014}, volume={90}, pages={044070} }

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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