Theoretical aspects of the DFR quantum spacetime

A systematic study of the Doplicher-Fredenhaguen-Roberts (DFR) Quantum Spacetime is presented. This work is based on the original quantized spacetime described by Doplicher, Fredenhaguen, and Roberts in Commun. Math. Phys. 172. I motivate the DFR Quantum Spacetime to obtain Spacetime Uncertainty Rel...

Full description

Autores:
Ardila Herrera, Daniel Andrés
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2021
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/58881
Acceso en línea:
http://hdl.handle.net/1992/58881
Palabra clave:
Quantum Spacetime
DFR
Noncommutative Spacetime
Física
Rights
openAccess
License
Atribución-NoComercial-CompartirIgual 4.0 Internacional
id UNIANDES2_c5f01d0f9fe397e68d0ccb7b0a2ab860
oai_identifier_str oai:repositorio.uniandes.edu.co:1992/58881
network_acronym_str UNIANDES2
network_name_str Séneca: repositorio Uniandes
repository_id_str
dc.title.none.fl_str_mv Theoretical aspects of the DFR quantum spacetime
title Theoretical aspects of the DFR quantum spacetime
spellingShingle Theoretical aspects of the DFR quantum spacetime
Quantum Spacetime
DFR
Noncommutative Spacetime
Física
title_short Theoretical aspects of the DFR quantum spacetime
title_full Theoretical aspects of the DFR quantum spacetime
title_fullStr Theoretical aspects of the DFR quantum spacetime
title_full_unstemmed Theoretical aspects of the DFR quantum spacetime
title_sort Theoretical aspects of the DFR quantum spacetime
dc.creator.fl_str_mv Ardila Herrera, Daniel Andrés
dc.contributor.advisor.none.fl_str_mv Reyes Lega, Andrés Fernando
dc.contributor.author.none.fl_str_mv Ardila Herrera, Daniel Andrés
dc.contributor.jury.none.fl_str_mv Téllez Acosta, Gabriel
dc.subject.keyword.none.fl_str_mv Quantum Spacetime
DFR
Noncommutative Spacetime
topic Quantum Spacetime
DFR
Noncommutative Spacetime
Física
dc.subject.themes.es_CO.fl_str_mv Física
description A systematic study of the Doplicher-Fredenhaguen-Roberts (DFR) Quantum Spacetime is presented. This work is based on the original quantized spacetime described by Doplicher, Fredenhaguen, and Roberts in Commun. Math. Phys. 172. I motivate the DFR Quantum Spacetime to obtain Spacetime Uncertainty Relations from the Principle of Gravitational Stability against localization of events and the hoop conjecture. I outline the characteristics of regular representations fulfilling the Quantum Conditions and show how an algebra can be constructed to describe the DFR Quantum Spacetime. I outline how there is a one-to-one correspondence between the representation of the algebra and the regular realizations. I also present how in the classical limit, the commutative Minkowski space is recovered.
publishDate 2021
dc.date.issued.none.fl_str_mv 2021-12-06
dc.date.accessioned.none.fl_str_mv 2022-07-15T18:17:38Z
dc.date.available.none.fl_str_mv 2022-07-15T18:17:38Z
dc.type.es_CO.fl_str_mv Trabajo de grado - Pregrado
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/bachelorThesis
dc.type.version.none.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.coar.none.fl_str_mv http://purl.org/coar/resource_type/c_7a1f
dc.type.content.es_CO.fl_str_mv Text
dc.type.redcol.none.fl_str_mv http://purl.org/redcol/resource_type/TP
format http://purl.org/coar/resource_type/c_7a1f
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/1992/58881
dc.identifier.instname.es_CO.fl_str_mv instname:Universidad de los Andes
dc.identifier.reponame.es_CO.fl_str_mv reponame:Repositorio Institucional Séneca
dc.identifier.repourl.es_CO.fl_str_mv repourl:https://repositorio.uniandes.edu.co/
url http://hdl.handle.net/1992/58881
identifier_str_mv instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
repourl:https://repositorio.uniandes.edu.co/
dc.language.iso.es_CO.fl_str_mv eng
language eng
dc.rights.license.spa.fl_str_mv Atribución-NoComercial-CompartirIgual 4.0 Internacional
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Atribución-NoComercial-CompartirIgual 4.0 Internacional
http://creativecommons.org/licenses/by-nc-sa/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.es_CO.fl_str_mv 49
dc.format.mimetype.es_CO.fl_str_mv application/pdf
dc.publisher.es_CO.fl_str_mv Universidad de los Andes
dc.publisher.program.es_CO.fl_str_mv Física
dc.publisher.faculty.es_CO.fl_str_mv Facultad de Ciencias
dc.publisher.department.es_CO.fl_str_mv Departamento de Física
institution Universidad de los Andes
bitstream.url.fl_str_mv https://repositorio.uniandes.edu.co/bitstreams/f988e1a7-c05d-4c8c-80f1-56d0db24c729/download
https://repositorio.uniandes.edu.co/bitstreams/2834f6b6-7615-455b-a64a-85d252172e69/download
https://repositorio.uniandes.edu.co/bitstreams/33dcbe03-6619-4079-b466-e0405b7e29fa/download
https://repositorio.uniandes.edu.co/bitstreams/42b0ac8a-1147-4ba8-a6c4-c0ed1f563512/download
https://repositorio.uniandes.edu.co/bitstreams/bd89e2d3-ed29-48b8-8824-3bfa14a41f60/download
https://repositorio.uniandes.edu.co/bitstreams/a455e742-1119-4005-b76a-999f5af27b4f/download
https://repositorio.uniandes.edu.co/bitstreams/aa6f7188-9e49-4bc5-bb1e-73a53e29fc27/download
https://repositorio.uniandes.edu.co/bitstreams/71693e99-e0ce-4e97-a7fe-32d2805dc681/download
bitstream.checksum.fl_str_mv 43009373c1245f740202cd5e75838903
e7a4a84a75602d9c5d5873db48d398e2
8bbae16f4244aebff05982f629584625
4491fe1afb58beaaef41a73cf7ff2e27
26c7c23e7ccd663683eb7176a8132147
4432cf51ace68ce6fe90b5fcf364377d
934f4ca17e109e0a05eaeaba504d7ce4
5aa5c691a1ffe97abd12c2966efcb8d6
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio institucional Séneca
repository.mail.fl_str_mv adminrepositorio@uniandes.edu.co
_version_ 1812134003071778816
spelling Atribución-NoComercial-CompartirIgual 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Reyes Lega, Andrés Fernandovirtual::12824-1Ardila Herrera, Daniel Andrés8d27deae-abbd-403f-b8ac-c3c135bcc431600Téllez Acosta, Gabriel2022-07-15T18:17:38Z2022-07-15T18:17:38Z2021-12-06http://hdl.handle.net/1992/58881instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/A systematic study of the Doplicher-Fredenhaguen-Roberts (DFR) Quantum Spacetime is presented. This work is based on the original quantized spacetime described by Doplicher, Fredenhaguen, and Roberts in Commun. Math. Phys. 172. I motivate the DFR Quantum Spacetime to obtain Spacetime Uncertainty Relations from the Principle of Gravitational Stability against localization of events and the hoop conjecture. I outline the characteristics of regular representations fulfilling the Quantum Conditions and show how an algebra can be constructed to describe the DFR Quantum Spacetime. I outline how there is a one-to-one correspondence between the representation of the algebra and the regular realizations. I also present how in the classical limit, the commutative Minkowski space is recovered.FísicoPregrado49application/pdfengUniversidad de los AndesFísicaFacultad de CienciasDepartamento de FísicaTheoretical aspects of the DFR quantum spacetimeTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_7a1fTexthttp://purl.org/redcol/resource_type/TPQuantum SpacetimeDFRNoncommutative SpacetimeFísica201411834Publicationhttps://scholar.google.es/citations?user=04V0g64AAAAJvirtual::12824-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000055174virtual::12824-19cfe3fb3-ca67-4abc-bf3f-6ceb7f9f4adfvirtual::12824-19cfe3fb3-ca67-4abc-bf3f-6ceb7f9f4adfvirtual::12824-1ORIGINALThesis Final.pdfThesis Final.pdfTrabajo de gradoapplication/pdf482266https://repositorio.uniandes.edu.co/bitstreams/f988e1a7-c05d-4c8c-80f1-56d0db24c729/download43009373c1245f740202cd5e75838903MD53Formato Entrega Tesis-firmado (1).pdfFormato Entrega Tesis-firmado (1).pdfHIDEapplication/pdf265695https://repositorio.uniandes.edu.co/bitstreams/2834f6b6-7615-455b-a64a-85d252172e69/downloade7a4a84a75602d9c5d5873db48d398e2MD55TEXTThesis Final.pdf.txtThesis Final.pdf.txtExtracted texttext/plain81884https://repositorio.uniandes.edu.co/bitstreams/33dcbe03-6619-4079-b466-e0405b7e29fa/download8bbae16f4244aebff05982f629584625MD56Formato Entrega Tesis-firmado (1).pdf.txtFormato Entrega Tesis-firmado (1).pdf.txtExtracted texttext/plain1163https://repositorio.uniandes.edu.co/bitstreams/42b0ac8a-1147-4ba8-a6c4-c0ed1f563512/download4491fe1afb58beaaef41a73cf7ff2e27MD58THUMBNAILThesis Final.pdf.jpgThesis Final.pdf.jpgIM Thumbnailimage/jpeg9418https://repositorio.uniandes.edu.co/bitstreams/bd89e2d3-ed29-48b8-8824-3bfa14a41f60/download26c7c23e7ccd663683eb7176a8132147MD57Formato Entrega Tesis-firmado (1).pdf.jpgFormato Entrega Tesis-firmado (1).pdf.jpgIM Thumbnailimage/jpeg16150https://repositorio.uniandes.edu.co/bitstreams/a455e742-1119-4005-b76a-999f5af27b4f/download4432cf51ace68ce6fe90b5fcf364377dMD59CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81031https://repositorio.uniandes.edu.co/bitstreams/aa6f7188-9e49-4bc5-bb1e-73a53e29fc27/download934f4ca17e109e0a05eaeaba504d7ce4MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81810https://repositorio.uniandes.edu.co/bitstreams/71693e99-e0ce-4e97-a7fe-32d2805dc681/download5aa5c691a1ffe97abd12c2966efcb8d6MD541992/58881oai:repositorio.uniandes.edu.co:1992/588812024-03-13 14:47:02.487http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.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