Shape Dynamics: Relativity Without Relativity


Mercati, F. (2012). Shape Dynamics: Relativity Without Relativity. Perimeter Institute. https://pirsa.org/12050067


Mercati, Flavio. Shape Dynamics: Relativity Without Relativity. Perimeter Institute, May. 09, 2012, https://pirsa.org/12050067


          @misc{ pirsa_PIRSA:12050067,
            doi = {10.48660/12050067},
            url = {https://pirsa.org/12050067},
            author = {Mercati, Flavio},
            keywords = {},
            language = {en},
            title = {Shape Dynamics: Relativity Without Relativity},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {may},
            note = {PIRSA:12050067 see, \url{https://pirsa.org}}

Flavio Mercati University of Naples Federico II


I review the best-matching construction,  and the striking properties of a Jacobi-type action first introduced by Baierelein, Sharp and Wheeler. The simplest theories compatible with such an action principle must have a universal light-cone and gauge symmetry. I also describe the implementation of three-dimensional conformal symmetries on the basis of the BSW action, which gives a first-principles derivation of York's solution of the initial value problem in General Relativity.