Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox
Autor(a) principal: | |
---|---|
Data de Publicação: | 2003 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.68.027701 http://hdl.handle.net/11449/224353 |
Resumo: | We investigate and solve in the context of general relativity the apparent paradox which appears when bodies floating in a background fluid are set in relativistic motion. Suppose some macroscopic body, say, a submarine designed to lie just in equilibrium when it rests (totally) immersed in a certain background fluid. The puzzle arises when different observers are asked to describe what is expected to happen when the submarine is given some high velocity parallel to the direction of the fluid surface. On the one hand, according to observers at rest with the fluid, the submarine would contract and, thus, sink as a consequence of the density increase. On the other hand, mariners at rest with the submarine using an analogous reasoning for the fluid elements would reach the opposite conclusion. The general relativistic extension of the Archimedes law for moving bodies shows that the submarine sinks. As an extra bonus, this problem suggests a new gedankenexperiment for the generalized second law of thermodynamics. ©2003 The American Physical Society. |
id |
UNSP_bae564d649a744919dee4c9218035678 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/224353 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradoxWe investigate and solve in the context of general relativity the apparent paradox which appears when bodies floating in a background fluid are set in relativistic motion. Suppose some macroscopic body, say, a submarine designed to lie just in equilibrium when it rests (totally) immersed in a certain background fluid. The puzzle arises when different observers are asked to describe what is expected to happen when the submarine is given some high velocity parallel to the direction of the fluid surface. On the one hand, according to observers at rest with the fluid, the submarine would contract and, thus, sink as a consequence of the density increase. On the other hand, mariners at rest with the submarine using an analogous reasoning for the fluid elements would reach the opposite conclusion. The general relativistic extension of the Archimedes law for moving bodies shows that the submarine sinks. As an extra bonus, this problem suggests a new gedankenexperiment for the generalized second law of thermodynamics. ©2003 The American Physical Society.Instituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SPInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SPUniversidade Estadual Paulista (UNESP)Matsas, George E. A. [UNESP]2022-04-28T19:56:04Z2022-04-28T19:56:04Z2003-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.68.027701Physical Review D, v. 68, n. 2, 2003.0556-2821http://hdl.handle.net/11449/22435310.1103/PhysRevD.68.0277012-s2.0-0042838324Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2022-04-28T19:56:04Zoai:repositorio.unesp.br:11449/224353Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:40:57.615036Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox |
title |
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox |
spellingShingle |
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox Matsas, George E. A. [UNESP] |
title_short |
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox |
title_full |
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox |
title_fullStr |
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox |
title_full_unstemmed |
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox |
title_sort |
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the submarine paradox |
author |
Matsas, George E. A. [UNESP] |
author_facet |
Matsas, George E. A. [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Matsas, George E. A. [UNESP] |
description |
We investigate and solve in the context of general relativity the apparent paradox which appears when bodies floating in a background fluid are set in relativistic motion. Suppose some macroscopic body, say, a submarine designed to lie just in equilibrium when it rests (totally) immersed in a certain background fluid. The puzzle arises when different observers are asked to describe what is expected to happen when the submarine is given some high velocity parallel to the direction of the fluid surface. On the one hand, according to observers at rest with the fluid, the submarine would contract and, thus, sink as a consequence of the density increase. On the other hand, mariners at rest with the submarine using an analogous reasoning for the fluid elements would reach the opposite conclusion. The general relativistic extension of the Archimedes law for moving bodies shows that the submarine sinks. As an extra bonus, this problem suggests a new gedankenexperiment for the generalized second law of thermodynamics. ©2003 The American Physical Society. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-01-01 2022-04-28T19:56:04Z 2022-04-28T19:56:04Z |
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://dx.doi.org/10.1103/PhysRevD.68.027701 Physical Review D, v. 68, n. 2, 2003. 0556-2821 http://hdl.handle.net/11449/224353 10.1103/PhysRevD.68.027701 2-s2.0-0042838324 |
url |
http://dx.doi.org/10.1103/PhysRevD.68.027701 http://hdl.handle.net/11449/224353 |
identifier_str_mv |
Physical Review D, v. 68, n. 2, 2003. 0556-2821 10.1103/PhysRevD.68.027701 2-s2.0-0042838324 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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 |
|
_version_ |
1808128966823772160 |