Conflict between the classical equivalence principle and quantum mechanics
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://www.m-hikari.com/astp/astp2009/astp1-4-2009/acciolyASTP1-4-2009.pdf http://hdl.handle.net/11449/71008 |
Resumo: | As far as external gravitational fields described by Newton's theory are concerned, theory shows that there is an unavoidable conflict between the universality of free fall (Galileo's equivalence principle) and quantum mechanics - a result confirmed by experiment. Is this conflict due perhaps to the use of Newton's gravity, instead of general relativity, in the analysis of the external gravitational field? The response is negative. To show this we compute the low corrections to the cross-section for the scattering of different quantum particles by an external gravitational field, treated as an external field, in the framework of Einstein's linearized gravity. To first order the cross-sections are spin-dependent; if the calculations are pushed to the next order they become dependent upon energy as well. Therefore, the Galileo's equivalence and, consequently, the classical equivalence principle, is violated in both cases. We address these issues here. |
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Conflict between the classical equivalence principle and quantum mechanicsEnergy-dependent cross-sectionQuantum mechanicsSpin-dependent cross-sectionViolation of the classical equivalence principleAs far as external gravitational fields described by Newton's theory are concerned, theory shows that there is an unavoidable conflict between the universality of free fall (Galileo's equivalence principle) and quantum mechanics - a result confirmed by experiment. Is this conflict due perhaps to the use of Newton's gravity, instead of general relativity, in the analysis of the external gravitational field? The response is negative. To show this we compute the low corrections to the cross-section for the scattering of different quantum particles by an external gravitational field, treated as an external field, in the framework of Einstein's linearized gravity. To first order the cross-sections are spin-dependent; if the calculations are pushed to the next order they become dependent upon energy as well. Therefore, the Galileo's equivalence and, consequently, the classical equivalence principle, is violated in both cases. We address these issues here.Group of Field Theory from First Principles Centro Brasileiro de Pesquisas Físicas CBPF, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJLaboratório de Física Experimental LAFEX Centro Brasileiro de Pesquisas Físicas CBPF, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJInstituto de Física Téorica IFT São Paulo State University UNESP, Rua Pamplona 145, 01405-000 São Paulo, SPInstituto de Física Téorica IFT São Paulo State University UNESP, Rua Pamplona 145, 01405-000 São Paulo, SPCentro Brasileiro de Pesquisas Físicas (CBPF)Universidade Estadual Paulista (Unesp)Accioly, Antonio [UNESP]Paszko, Ricardo2014-05-27T11:23:54Z2014-05-27T11:23:54Z2009-05-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article65-78http://www.m-hikari.com/astp/astp2009/astp1-4-2009/acciolyASTP1-4-2009.pdfAdvanced Studies in Theoretical Physics, v. 3, n. 2, p. 65-78, 2009.1313-1311http://hdl.handle.net/11449/710082-s2.0-65449138736Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAdvanced Studies in Theoretical Physicsinfo:eu-repo/semantics/openAccess2021-10-22T19:03:36Zoai:repositorio.unesp.br:11449/71008Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:44:46.699936Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Conflict between the classical equivalence principle and quantum mechanics |
title |
Conflict between the classical equivalence principle and quantum mechanics |
spellingShingle |
Conflict between the classical equivalence principle and quantum mechanics Accioly, Antonio [UNESP] Energy-dependent cross-section Quantum mechanics Spin-dependent cross-section Violation of the classical equivalence principle |
title_short |
Conflict between the classical equivalence principle and quantum mechanics |
title_full |
Conflict between the classical equivalence principle and quantum mechanics |
title_fullStr |
Conflict between the classical equivalence principle and quantum mechanics |
title_full_unstemmed |
Conflict between the classical equivalence principle and quantum mechanics |
title_sort |
Conflict between the classical equivalence principle and quantum mechanics |
author |
Accioly, Antonio [UNESP] |
author_facet |
Accioly, Antonio [UNESP] Paszko, Ricardo |
author_role |
author |
author2 |
Paszko, Ricardo |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Centro Brasileiro de Pesquisas Físicas (CBPF) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Accioly, Antonio [UNESP] Paszko, Ricardo |
dc.subject.por.fl_str_mv |
Energy-dependent cross-section Quantum mechanics Spin-dependent cross-section Violation of the classical equivalence principle |
topic |
Energy-dependent cross-section Quantum mechanics Spin-dependent cross-section Violation of the classical equivalence principle |
description |
As far as external gravitational fields described by Newton's theory are concerned, theory shows that there is an unavoidable conflict between the universality of free fall (Galileo's equivalence principle) and quantum mechanics - a result confirmed by experiment. Is this conflict due perhaps to the use of Newton's gravity, instead of general relativity, in the analysis of the external gravitational field? The response is negative. To show this we compute the low corrections to the cross-section for the scattering of different quantum particles by an external gravitational field, treated as an external field, in the framework of Einstein's linearized gravity. To first order the cross-sections are spin-dependent; if the calculations are pushed to the next order they become dependent upon energy as well. Therefore, the Galileo's equivalence and, consequently, the classical equivalence principle, is violated in both cases. We address these issues here. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-05-11 2014-05-27T11:23:54Z 2014-05-27T11:23:54Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://www.m-hikari.com/astp/astp2009/astp1-4-2009/acciolyASTP1-4-2009.pdf Advanced Studies in Theoretical Physics, v. 3, n. 2, p. 65-78, 2009. 1313-1311 http://hdl.handle.net/11449/71008 2-s2.0-65449138736 |
url |
http://www.m-hikari.com/astp/astp2009/astp1-4-2009/acciolyASTP1-4-2009.pdf http://hdl.handle.net/11449/71008 |
identifier_str_mv |
Advanced Studies in Theoretical Physics, v. 3, n. 2, p. 65-78, 2009. 1313-1311 2-s2.0-65449138736 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Advanced Studies in Theoretical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
65-78 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1808129457493377024 |