Classical and Quantized General-Relativistic Angular Momentum Article Swipe
Geoffrey Compère
,
David A. Nichols
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2103.17103
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2103.17103
Angular momentum at null infinity has a supertranslation ambiguity from the lack of a preferred Poincaré group and a similar ambiguity when the center-of-mass position changes as linear momentum is radiated. Recently, we noted there is an additional one-parameter ambiguity in the possible definitions of angular momentum and center-of-mass charge. We argue that this one-parameter ambiguity can be resolved by considering the generalized BMS charges that are constructed from local 2-sphere-covariant tensors near null infinity; these supertranslation-covariant charges differ from several expressions currently used. Quantizing angular momentum requires a supertranslation-invariant angular momentum in the center-of-mass frame. We propose one such definition of angular momentum involving nonlocal quantities on the 2-sphere, which could be used to define a quantum notion of general-relativistic angular momentum.
Related Topics
Concepts
Angular momentum
Physics
Angular momentum coupling
Total angular momentum quantum number
Angular momentum operator
Covariant transformation
Invariant mass
Classical mechanics
Angular momentum of light
Mathematical physics
Quantum electrodynamics
Quantum mechanics
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2103.17103
- https://arxiv.org/pdf/2103.17103
- OA Status
- green
- Cited By
- 12
- References
- 2
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3148888286
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W3148888286Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2103.17103Digital Object Identifier
- Title
-
Classical and Quantized General-Relativistic Angular MomentumWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-03-31Full publication date if available
- Authors
-
Geoffrey Compère, David A. NicholsList of authors in order
- Landing page
-
https://arxiv.org/abs/2103.17103Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2103.17103Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2103.17103Direct OA link when available
- Concepts
-
Angular momentum, Physics, Angular momentum coupling, Total angular momentum quantum number, Angular momentum operator, Covariant transformation, Invariant mass, Classical mechanics, Angular momentum of light, Mathematical physics, Quantum electrodynamics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
12Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 3, 2023: 2, 2022: 4, 2021: 3Per-year citation counts (last 5 years)
- References (count)
-
2Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W3148888286 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2103.17103 |
| ids.doi | https://doi.org/10.48550/arxiv.2103.17103 |
| ids.mag | 3148888286 |
| ids.openalex | https://openalex.org/W3148888286 |
| fwci | |
| type | preprint |
| title | Classical and Quantized General-Relativistic Angular Momentum |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10025 |
| topics[0].field.id | https://openalex.org/fields/31 |
| topics[0].field.display_name | Physics and Astronomy |
| topics[0].score | 0.9998000264167786 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3106 |
| topics[0].subfield.display_name | Nuclear and High Energy Physics |
| topics[0].display_name | Black Holes and Theoretical Physics |
| topics[1].id | https://openalex.org/T10095 |
| topics[1].field.id | https://openalex.org/fields/31 |
| topics[1].field.display_name | Physics and Astronomy |
| topics[1].score | 0.9979000091552734 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/3103 |
| topics[1].subfield.display_name | Astronomy and Astrophysics |
| topics[1].display_name | Cosmology and Gravitation Theories |
| topics[2].id | https://openalex.org/T10463 |
| topics[2].field.id | https://openalex.org/fields/31 |
| topics[2].field.display_name | Physics and Astronomy |
| topics[2].score | 0.9950000047683716 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/3103 |
| topics[2].subfield.display_name | Astronomy and Astrophysics |
| topics[2].display_name | Pulsars and Gravitational Waves Research |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C155675718 |
| concepts[0].level | 2 |
| concepts[0].score | 0.8566884994506836 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q161254 |
| concepts[0].display_name | Angular momentum |
| concepts[1].id | https://openalex.org/C121332964 |
| concepts[1].level | 0 |
| concepts[1].score | 0.7521812915802002 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[1].display_name | Physics |
| concepts[2].id | https://openalex.org/C20782240 |
| concepts[2].level | 4 |
| concepts[2].score | 0.7033027410507202 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q3272968 |
| concepts[2].display_name | Angular momentum coupling |
| concepts[3].id | https://openalex.org/C45193367 |
| concepts[3].level | 3 |
| concepts[3].score | 0.6634125709533691 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q1141095 |
| concepts[3].display_name | Total angular momentum quantum number |
| concepts[4].id | https://openalex.org/C150454350 |
| concepts[4].level | 5 |
| concepts[4].score | 0.6393908858299255 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q1190143 |
| concepts[4].display_name | Angular momentum operator |
| concepts[5].id | https://openalex.org/C9136319 |
| concepts[5].level | 2 |
| concepts[5].score | 0.513494074344635 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q362640 |
| concepts[5].display_name | Covariant transformation |
| concepts[6].id | https://openalex.org/C151987854 |
| concepts[6].level | 2 |
| concepts[6].score | 0.4764966368675232 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q1097654 |
| concepts[6].display_name | Invariant mass |
| concepts[7].id | https://openalex.org/C74650414 |
| concepts[7].level | 1 |
| concepts[7].score | 0.45968931913375854 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q11397 |
| concepts[7].display_name | Classical mechanics |
| concepts[8].id | https://openalex.org/C9872702 |
| concepts[8].level | 5 |
| concepts[8].score | 0.43229764699935913 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q4764025 |
| concepts[8].display_name | Angular momentum of light |
| concepts[9].id | https://openalex.org/C37914503 |
| concepts[9].level | 1 |
| concepts[9].score | 0.3856735825538635 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q156495 |
| concepts[9].display_name | Mathematical physics |
| concepts[10].id | https://openalex.org/C3079626 |
| concepts[10].level | 1 |
| concepts[10].score | 0.372123658657074 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q234881 |
| concepts[10].display_name | Quantum electrodynamics |
| concepts[11].id | https://openalex.org/C62520636 |
| concepts[11].level | 1 |
| concepts[11].score | 0.34304100275039673 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[11].display_name | Quantum mechanics |
| keywords[0].id | https://openalex.org/keywords/angular-momentum |
| keywords[0].score | 0.8566884994506836 |
| keywords[0].display_name | Angular momentum |
| keywords[1].id | https://openalex.org/keywords/physics |
| keywords[1].score | 0.7521812915802002 |
| keywords[1].display_name | Physics |
| keywords[2].id | https://openalex.org/keywords/angular-momentum-coupling |
| keywords[2].score | 0.7033027410507202 |
| keywords[2].display_name | Angular momentum coupling |
| keywords[3].id | https://openalex.org/keywords/total-angular-momentum-quantum-number |
| keywords[3].score | 0.6634125709533691 |
| keywords[3].display_name | Total angular momentum quantum number |
| keywords[4].id | https://openalex.org/keywords/angular-momentum-operator |
| keywords[4].score | 0.6393908858299255 |
| keywords[4].display_name | Angular momentum operator |
| keywords[5].id | https://openalex.org/keywords/covariant-transformation |
| keywords[5].score | 0.513494074344635 |
| keywords[5].display_name | Covariant transformation |
| keywords[6].id | https://openalex.org/keywords/invariant-mass |
| keywords[6].score | 0.4764966368675232 |
| keywords[6].display_name | Invariant mass |
| keywords[7].id | https://openalex.org/keywords/classical-mechanics |
| keywords[7].score | 0.45968931913375854 |
| keywords[7].display_name | Classical mechanics |
| keywords[8].id | https://openalex.org/keywords/angular-momentum-of-light |
| keywords[8].score | 0.43229764699935913 |
| keywords[8].display_name | Angular momentum of light |
| keywords[9].id | https://openalex.org/keywords/mathematical-physics |
| keywords[9].score | 0.3856735825538635 |
| keywords[9].display_name | Mathematical physics |
| keywords[10].id | https://openalex.org/keywords/quantum-electrodynamics |
| keywords[10].score | 0.372123658657074 |
| keywords[10].display_name | Quantum electrodynamics |
| keywords[11].id | https://openalex.org/keywords/quantum-mechanics |
| keywords[11].score | 0.34304100275039673 |
| keywords[11].display_name | Quantum mechanics |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2103.17103 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/2103.17103 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2103.17103 |
| locations[1].id | doi:10.48550/arxiv.2103.17103 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.48550/arxiv.2103.17103 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5024200812 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-1977-3295 |
| authorships[0].author.display_name | Geoffrey Compère |
| authorships[0].countries | BE |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I132053463 |
| authorships[0].affiliations[0].raw_affiliation_string | Université libre de Bruxelles |
| authorships[0].institutions[0].id | https://openalex.org/I132053463 |
| authorships[0].institutions[0].ror | https://ror.org/01r9htc13 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I132053463 |
| authorships[0].institutions[0].country_code | BE |
| authorships[0].institutions[0].display_name | Université Libre de Bruxelles |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Geoffrey Compère |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Université libre de Bruxelles |
| authorships[1].author.id | https://openalex.org/A5075825074 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-4758-9460 |
| authorships[1].author.display_name | David A. Nichols |
| authorships[1].countries | US |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I51556381 |
| authorships[1].affiliations[0].raw_affiliation_string | UNIVERSITY OF VIRGINIA; |
| authorships[1].institutions[0].id | https://openalex.org/I51556381 |
| authorships[1].institutions[0].ror | https://ror.org/0153tk833 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I51556381 |
| authorships[1].institutions[0].country_code | US |
| authorships[1].institutions[0].display_name | University of Virginia |
| authorships[1].author_position | last |
| authorships[1].raw_author_name | David A. Nichols |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | UNIVERSITY OF VIRGINIA; |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2103.17103 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2021-04-13T00:00:00 |
| display_name | Classical and Quantized General-Relativistic Angular Momentum |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T10025 |
| primary_topic.field.id | https://openalex.org/fields/31 |
| primary_topic.field.display_name | Physics and Astronomy |
| primary_topic.score | 0.9998000264167786 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3106 |
| primary_topic.subfield.display_name | Nuclear and High Energy Physics |
| primary_topic.display_name | Black Holes and Theoretical Physics |
| related_works | https://openalex.org/W2360921948, https://openalex.org/W2037640586, https://openalex.org/W2356869148, https://openalex.org/W4241749948, https://openalex.org/W1551964398, https://openalex.org/W4234675530, https://openalex.org/W569703162, https://openalex.org/W4283660275, https://openalex.org/W2764283079, https://openalex.org/W2010615929 |
| cited_by_count | 12 |
| counts_by_year[0].year | 2024 |
| counts_by_year[0].cited_by_count | 3 |
| counts_by_year[1].year | 2023 |
| counts_by_year[1].cited_by_count | 2 |
| counts_by_year[2].year | 2022 |
| counts_by_year[2].cited_by_count | 4 |
| counts_by_year[3].year | 2021 |
| counts_by_year[3].cited_by_count | 3 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:2103.17103 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2103.17103 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2103.17103 |
| primary_location.id | pmh:oai:arXiv.org:2103.17103 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/2103.17103 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2103.17103 |
| publication_date | 2021-03-31 |
| publication_year | 2021 |
| referenced_works | https://openalex.org/W2992431360, https://openalex.org/W1559448308 |
| referenced_works_count | 2 |
| abstract_inverted_index.a | 6, 13, 18, 88, 116 |
| abstract_inverted_index.We | 50, 96 |
| abstract_inverted_index.an | 36 |
| abstract_inverted_index.as | 26 |
| abstract_inverted_index.at | 2 |
| abstract_inverted_index.be | 57, 112 |
| abstract_inverted_index.by | 59 |
| abstract_inverted_index.in | 40, 92 |
| abstract_inverted_index.is | 29, 35 |
| abstract_inverted_index.of | 12, 44, 101, 119 |
| abstract_inverted_index.on | 107 |
| abstract_inverted_index.to | 114 |
| abstract_inverted_index.we | 32 |
| abstract_inverted_index.BMS | 63 |
| abstract_inverted_index.and | 17, 47 |
| abstract_inverted_index.are | 66 |
| abstract_inverted_index.can | 56 |
| abstract_inverted_index.has | 5 |
| abstract_inverted_index.one | 98 |
| abstract_inverted_index.the | 10, 22, 41, 61, 93, 108 |
| abstract_inverted_index.from | 9, 68, 79 |
| abstract_inverted_index.lack | 11 |
| abstract_inverted_index.near | 72 |
| abstract_inverted_index.null | 3, 73 |
| abstract_inverted_index.such | 99 |
| abstract_inverted_index.that | 52, 65 |
| abstract_inverted_index.this | 53 |
| abstract_inverted_index.used | 113 |
| abstract_inverted_index.when | 21 |
| abstract_inverted_index.argue | 51 |
| abstract_inverted_index.could | 111 |
| abstract_inverted_index.group | 16 |
| abstract_inverted_index.local | 69 |
| abstract_inverted_index.noted | 33 |
| abstract_inverted_index.there | 34 |
| abstract_inverted_index.these | 75 |
| abstract_inverted_index.used. | 83 |
| abstract_inverted_index.which | 110 |
| abstract_inverted_index.define | 115 |
| abstract_inverted_index.differ | 78 |
| abstract_inverted_index.frame. | 95 |
| abstract_inverted_index.linear | 27 |
| abstract_inverted_index.notion | 118 |
| abstract_inverted_index.Angular | 0 |
| abstract_inverted_index.angular | 45, 85, 90, 102, 121 |
| abstract_inverted_index.changes | 25 |
| abstract_inverted_index.charge. | 49 |
| abstract_inverted_index.charges | 64, 77 |
| abstract_inverted_index.propose | 97 |
| abstract_inverted_index.quantum | 117 |
| abstract_inverted_index.several | 80 |
| abstract_inverted_index.similar | 19 |
| abstract_inverted_index.tensors | 71 |
| abstract_inverted_index.infinity | 4 |
| abstract_inverted_index.momentum | 1, 28, 46, 86, 91, 103 |
| abstract_inverted_index.nonlocal | 105 |
| abstract_inverted_index.position | 24 |
| abstract_inverted_index.possible | 42 |
| abstract_inverted_index.requires | 87 |
| abstract_inverted_index.resolved | 58 |
| abstract_inverted_index.2-sphere, | 109 |
| abstract_inverted_index.Poincaré | 15 |
| abstract_inverted_index.Recently, | 31 |
| abstract_inverted_index.ambiguity | 8, 20, 39, 55 |
| abstract_inverted_index.currently | 82 |
| abstract_inverted_index.infinity; | 74 |
| abstract_inverted_index.involving | 104 |
| abstract_inverted_index.momentum. | 122 |
| abstract_inverted_index.preferred | 14 |
| abstract_inverted_index.radiated. | 30 |
| abstract_inverted_index.Quantizing | 84 |
| abstract_inverted_index.additional | 37 |
| abstract_inverted_index.definition | 100 |
| abstract_inverted_index.quantities | 106 |
| abstract_inverted_index.considering | 60 |
| abstract_inverted_index.constructed | 67 |
| abstract_inverted_index.definitions | 43 |
| abstract_inverted_index.expressions | 81 |
| abstract_inverted_index.generalized | 62 |
| abstract_inverted_index.one-parameter | 38, 54 |
| abstract_inverted_index.center-of-mass | 23, 48, 94 |
| abstract_inverted_index.supertranslation | 7 |
| abstract_inverted_index.2-sphere-covariant | 70 |
| abstract_inverted_index.general-relativistic | 120 |
| abstract_inverted_index.supertranslation-covariant | 76 |
| abstract_inverted_index.supertranslation-invariant | 89 |
| cited_by_percentile_year | |
| countries_distinct_count | 2 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile |