2013/02/25 by Julian Barbour, Tim Koslowski, Flavio Mercati · 1 citation
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/31/15/155001
14 pages, no figures
arxiv created 2013/02/25 · arxiv updated 2015/06/15
The absence of unique time evolution in Einstein's spacetime description of gravity leads to the hitherto unresolved `problem of time' in quantum gravity. Shape Dynamics is an objectively equivalent representation of gravity that trades spacetime refoliation invariance for three-dimensional conformal invariance. Its logical completion presented here gives a dimensionless description of gravitational dynamics. We show that in this framework the classical problem of time is completely solved. Since a comparable definitive solution is impossible within the spacetime description, we believe Shape Dynamics provides a key ingredient for the creation of quantum gravity.