Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches
The Einstein field equations of general relativity constrain the local curvature at every point in spacetime, but say nothing about the global topology of the Universe. Cosmic microwave background anisotropies have proven to be the most powerful probe of non-trivial topology since, within ΛCDM, thes...
| Autores: | , , , , , , , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/348295 |
| Acceso en línea: | http://hdl.handle.net/10261/348295 https://api.elsevier.com/content/abstract/scopus_id/85147156896 |
| Access Level: | acceso abierto |
| Palabra clave: | CMBR theory Cosmological parameters from CMBR Cosmology of Theories beyond the SM Physics of the early universe |
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Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searchesPetersen, PipAkrami, YasharCopi, Craig JJaffe, Andrew HKosowsky, ArthurStarkman, Glenn DTamosiunas, AndriusEskilt, Johannes RGüngör, ÖzençSaha, SamantaTaylor, QuinnCMBR theoryCosmological parameters from CMBRCosmology of Theories beyond the SMPhysics of the early universeThe Einstein field equations of general relativity constrain the local curvature at every point in spacetime, but say nothing about the global topology of the Universe. Cosmic microwave background anisotropies have proven to be the most powerful probe of non-trivial topology since, within ΛCDM, these anisotropies have well-characterized statistical properties, the signal is principally from a thin spherical shell centered on the observer (the last scattering surface), and space-based observations nearly cover the full sky. The most generic signature of cosmic topology in the microwave background is pairs of circles with matching temperature and polarization patterns. No such circle pairs have been seen above noise in the WMAP or Planck temperature data, implying that the shortest non-contractible loop around the Universe through our location is longer than 98.5% of the comoving diameter of the last scattering surface. We translate this generic constraint into limits on the parameters that characterize manifolds with each of the nine possible non-trivial orientable Euclidean topologies, and provide a code which computes these constraints. In all but the simplest cases, the shortest non-contractible loop in the space can avoid us, and be shorter than the diameter of the last scattering surface by a factor ranging from 2 to at least 6. This result implies that a broader range of manifolds is observationally allowed than widely appreciated. Probing these manifolds will require more subtle statistical signatures than matched circles, such as off-diagonal correlations of harmonic coefficients.We thank Jeffrey Weeks and David Singer for valuable conversations. Y.A. acknowledges support by the Richard S. Morrison Fellowship, from research projects PGC2018-094773- B-C32 and PID2021-123012NB-C43, by the Spanish Research Agency (Agencia Estatal de Investigación)’s grant RYC2020-030193-I/AEI/10.13039/501100011033 and the European Social Fund (Fondo Social Europeo) through the Ramón y Cajal program within the State Plan for Scientific and Technical Research and Innovation (Plan Estatal de Investigación Científica y Técnica y de Innovación) 2017-2020, and by the Spanish Research Agency through the grant IFT Centro de Excelencia Severo Ochoa No CEX2020-001007-S funded by MCIN/AEI/10.13039/501100011033. C.J.C., A.K. and G.D.S. acknowledge partial support from NASA ATP grant RES240737; G.D.S. from DOE grant DESC0009946; P.P., Y.A., G.D.S., O.G. and S.S. from the Simons Foundation; Y.A., A.H.J. and G.D.S. from the Royal Society (UK); and A.H.J. from STFC in the UK. A.T. is supported by the Richard S. Morrison Fellowship. J.R.E. acknowledges support from the European Research Council under the Horizon 2020 Research and Innovation Programme (Grant agreement No. 819478).Peer reviewedConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202420242023info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionhttp://hdl.handle.net/10261/348295https://api.elsevier.com/content/abstract/scopus_id/85147156896reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésJournal of Cosmology and Astroparticle Physicshttps://iopscience.iop.org/article/10.1088/1475-7516/2023/01/030Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3482952026-05-22T06:33:51Z |
| dc.title.none.fl_str_mv |
Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches |
| title |
Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches |
| spellingShingle |
Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches Petersen, Pip CMBR theory Cosmological parameters from CMBR Cosmology of Theories beyond the SM Physics of the early universe |
| title_short |
Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches |
| title_full |
Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches |
| title_fullStr |
Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches |
| title_full_unstemmed |
Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches |
| title_sort |
Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches |
| dc.creator.none.fl_str_mv |
Petersen, Pip Akrami, Yashar Copi, Craig J Jaffe, Andrew H Kosowsky, Arthur Starkman, Glenn D Tamosiunas, Andrius Eskilt, Johannes R Güngör, Özenç Saha, Samanta Taylor, Quinn |
| author |
Petersen, Pip |
| author_facet |
Petersen, Pip Akrami, Yashar Copi, Craig J Jaffe, Andrew H Kosowsky, Arthur Starkman, Glenn D Tamosiunas, Andrius Eskilt, Johannes R Güngör, Özenç Saha, Samanta Taylor, Quinn |
| author_role |
author |
| author2 |
Akrami, Yashar Copi, Craig J Jaffe, Andrew H Kosowsky, Arthur Starkman, Glenn D Tamosiunas, Andrius Eskilt, Johannes R Güngör, Özenç Saha, Samanta Taylor, Quinn |
| author2_role |
author author author author author author author author author author |
| dc.contributor.none.fl_str_mv |
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72] |
| dc.subject.none.fl_str_mv |
CMBR theory Cosmological parameters from CMBR Cosmology of Theories beyond the SM Physics of the early universe |
| topic |
CMBR theory Cosmological parameters from CMBR Cosmology of Theories beyond the SM Physics of the early universe |
| description |
The Einstein field equations of general relativity constrain the local curvature at every point in spacetime, but say nothing about the global topology of the Universe. Cosmic microwave background anisotropies have proven to be the most powerful probe of non-trivial topology since, within ΛCDM, these anisotropies have well-characterized statistical properties, the signal is principally from a thin spherical shell centered on the observer (the last scattering surface), and space-based observations nearly cover the full sky. The most generic signature of cosmic topology in the microwave background is pairs of circles with matching temperature and polarization patterns. No such circle pairs have been seen above noise in the WMAP or Planck temperature data, implying that the shortest non-contractible loop around the Universe through our location is longer than 98.5% of the comoving diameter of the last scattering surface. We translate this generic constraint into limits on the parameters that characterize manifolds with each of the nine possible non-trivial orientable Euclidean topologies, and provide a code which computes these constraints. In all but the simplest cases, the shortest non-contractible loop in the space can avoid us, and be shorter than the diameter of the last scattering surface by a factor ranging from 2 to at least 6. This result implies that a broader range of manifolds is observationally allowed than widely appreciated. Probing these manifolds will require more subtle statistical signatures than matched circles, such as off-diagonal correlations of harmonic coefficients. |
| publishDate |
2023 |
| dc.date.none.fl_str_mv |
2023 2024 2024 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article http://purl.org/coar/resource_type/c_6501 Preprint info:eu-repo/semantics/submittedVersion |
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article |
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submittedVersion |
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http://hdl.handle.net/10261/348295 https://api.elsevier.com/content/abstract/scopus_id/85147156896 |
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http://hdl.handle.net/10261/348295 https://api.elsevier.com/content/abstract/scopus_id/85147156896 |
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Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Journal of Cosmology and Astroparticle Physics https://iopscience.iop.org/article/10.1088/1475-7516/2023/01/030 Sí |
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info:eu-repo/semantics/openAccess |
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openAccess |
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reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC instname:Consejo Superior de Investigaciones Científicas (CSIC) |
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