Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory
The vanishing phase space generator of the full four-dimensional diffeomorphism-related symmetry group in the context of the Barbero–Immirz–Holst Lagrangian is derived directly, for the first time, from Noether’s second theorem. Its applicability in the construction of classical diffeomorphism invar...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/11/458 |
| _version_ | 1797457649855365120 |
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| author | Donald Salisbury |
| author_facet | Donald Salisbury |
| author_sort | Donald Salisbury |
| collection | DOAJ |
| description | The vanishing phase space generator of the full four-dimensional diffeomorphism-related symmetry group in the context of the Barbero–Immirz–Holst Lagrangian is derived directly, for the first time, from Noether’s second theorem. Its applicability in the construction of classical diffeomorphism invariants is reviewed. |
| first_indexed | 2024-03-09T16:24:06Z |
| format | Article |
| id | doaj.art-ea21f8633a4048a79de1a5c135986087 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T16:24:06Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-ea21f8633a4048a79de1a5c1359860872023-11-24T15:09:45ZengMDPI AGUniverse2218-19972023-10-0191145810.3390/universe9110458Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad TheoryDonald Salisbury0Austin College, 900 N. Grand Ave., Sherman, TX 75090, USAThe vanishing phase space generator of the full four-dimensional diffeomorphism-related symmetry group in the context of the Barbero–Immirz–Holst Lagrangian is derived directly, for the first time, from Noether’s second theorem. Its applicability in the construction of classical diffeomorphism invariants is reviewed.https://www.mdpi.com/2218-1997/9/11/458diffeomorphism symmetrygravitational invariantsclassical loop variables |
| spellingShingle | Donald Salisbury Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory Universe diffeomorphism symmetry gravitational invariants classical loop variables |
| title | Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory |
| title_full | Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory |
| title_fullStr | Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory |
| title_full_unstemmed | Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory |
| title_short | Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory |
| title_sort | diffeomorphism covariance of the canonical barbero immirzi holst triad theory |
| topic | diffeomorphism symmetry gravitational invariants classical loop variables |
| url | https://www.mdpi.com/2218-1997/9/11/458 |
| work_keys_str_mv | AT donaldsalisbury diffeomorphismcovarianceofthecanonicalbarberoimmirziholsttriadtheory |