Newtonian gravity on quantum spacetime

Shahn Majid, Larissa Bravina, Yiota Foka, Sonia Kabana
2014 EPJ Web of Conferences  
The bicrossproduct model λ-Minkowski (or 'κ-Minkowski') quantum spacetime has an anomaly for the action of the Poincaré quantum group which was resolved by an extra cotangent direction θ not visible classically. We show that gauging a coefficient of θ introduces gravity into the model. We solve and analyse the model nonrelativisticaly in a 1/r potential, finding an induced constant term in the effective potential energy and a weakening and separation of the effective gravitational and inertial
more » ... asses as the test particle Klein-Gordon mass increases. The present work is intended as a proof of concept but the approach could be relevant to an understanding of dark energy and possibly to macroscopic quantum systems. 0 0 (2014) 2014 00 0 Conferences EP Web of J 70 0 7 0 ep conf j 82 82 This is an Open Access article distributed under the terms of the Creative Commons Attribution License 2.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
doi:10.1051/epjconf/20147000082 fatcat:ph4txubazfgnvi4goa6kxv2rae