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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2014-04-01
|
| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/20147000082 |
| _version_ | 1818778786952380416 |
|---|---|
| author | Majid Shahn |
| author_facet | Majid Shahn |
| author_sort | Majid Shahn |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T11:50:16Z |
| format | Article |
| id | doaj.art-0854119fdcdb4df29fe6bfe1dd55d650 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-18T11:50:16Z |
| publishDate | 2014-04-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-0854119fdcdb4df29fe6bfe1dd55d6502022-12-21T21:09:10ZengEDP SciencesEPJ Web of Conferences2100-014X2014-04-01700008210.1051/epjconf/20147000082epjconf_icfp2012_00082Newtonian gravity on quantum spacetimeMajid Shahn0School of Mathematical Sciences Queen Mary University of LondonThe 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.http://dx.doi.org/10.1051/epjconf/20147000082 |
| spellingShingle | Majid Shahn Newtonian gravity on quantum spacetime EPJ Web of Conferences |
| title | Newtonian gravity on quantum spacetime |
| title_full | Newtonian gravity on quantum spacetime |
| title_fullStr | Newtonian gravity on quantum spacetime |
| title_full_unstemmed | Newtonian gravity on quantum spacetime |
| title_short | Newtonian gravity on quantum spacetime |
| title_sort | newtonian gravity on quantum spacetime |
| url | http://dx.doi.org/10.1051/epjconf/20147000082 |
| work_keys_str_mv | AT majidshahn newtoniangravityonquantumspacetime |