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Newtonian gravity on quantum spacetime
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
doi:10.1051/epjconf/20147000082
fatcat:ph4txubazfgnvi4goa6kxv2rae