Newtonian gravity on quantum spacetime
The bicrossproduct model λ-Minkowski (or ‘κ-Minkowski’) quantum space-time 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 a...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2014-04-01
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| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/20147000082 |
| Summary: | The bicrossproduct model λ-Minkowski (or ‘κ-Minkowski’) quantum space-time 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 masses 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. |
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| ISSN: | 2100-014X |