Transreal newtonian physics operates at singularities
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | por eng |
Título da fonte: | Synesis (Online) |
Texto Completo: | https://seer.ucp.br/seer/index.php/synesis/article/view/738 |
Resumo: | Sir Isaac Newton, writing in Latin, defined his celebrated laws of motion verbally. When the laws of motion are read as relating to his arithmetic (the Arithmetica Universalis) and his calculus (the method of fluxions), division by zero is undefined so his physics fails at mathematical singularities. The situation is unchanged in modern real arithmetic and real calculus: division by zero is undefined so both Newtonian Physics and its modern developments fail at mathematical singularities. However, when Newton’s text is read as relating to transreal arithmetic and transreal calculus, division by zero is defined and we show that the resulting Transreal Newtonian Physics does operate at mathematical singularities. We hold out the hope that the whole of modern physics may be similarly extended. We use the new physics to predict a convection current at the singularity in a black hole and suggest experiments in astronomy and high energy physics that might confirm or rebut our predictions. Thus our exegesis of Newton’s text extends mathematical physics and may, in future, extend experimental physics. |
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Synesis (Online) |
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Transreal newtonian physics operates at singularitiesSir Isaac Newton, writing in Latin, defined his celebrated laws of motion verbally. When the laws of motion are read as relating to his arithmetic (the Arithmetica Universalis) and his calculus (the method of fluxions), division by zero is undefined so his physics fails at mathematical singularities. The situation is unchanged in modern real arithmetic and real calculus: division by zero is undefined so both Newtonian Physics and its modern developments fail at mathematical singularities. However, when Newton’s text is read as relating to transreal arithmetic and transreal calculus, division by zero is defined and we show that the resulting Transreal Newtonian Physics does operate at mathematical singularities. We hold out the hope that the whole of modern physics may be similarly extended. We use the new physics to predict a convection current at the singularity in a black hole and suggest experiments in astronomy and high energy physics that might confirm or rebut our predictions. Thus our exegesis of Newton’s text extends mathematical physics and may, in future, extend experimental physics.UCP2015-11-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfimage/jpeghttps://seer.ucp.br/seer/index.php/synesis/article/view/738Synesis (ISSN 1984-6754); Vol. 7 No. 2 (2015): JUL.-DEZ.; 57-81Synesis (ISSN 1984-6754); v. 7 n. 2 (2015): JUL.-DEZ.; 57-811984-67541678-6785reponame:Synesis (Online)instname:Universidade Católica de Petrópolis (UCP)instacron:UCPporenghttps://seer.ucp.br/seer/index.php/synesis/article/view/738/426https://seer.ucp.br/seer/index.php/synesis/article/view/738/990Anderson, James A. D. W.Reis, Tiago Soares dosinfo:eu-repo/semantics/openAccess2023-03-03T11:38:01Zoai:ojs.pkp.sfu.ca:article/738Revistahttps://seer.ucp.br/seer/index.php/synesisPRIhttps://seer.ucp.br/seer/index.php/synesis/oaisergio.salles@ucp.br || paulo.cerqueira@ucp.br1984-67541678-6785opendoar:2023-03-03T11:38:01Synesis (Online) - Universidade Católica de Petrópolis (UCP)false |
dc.title.none.fl_str_mv |
Transreal newtonian physics operates at singularities |
title |
Transreal newtonian physics operates at singularities |
spellingShingle |
Transreal newtonian physics operates at singularities Anderson, James A. D. W. |
title_short |
Transreal newtonian physics operates at singularities |
title_full |
Transreal newtonian physics operates at singularities |
title_fullStr |
Transreal newtonian physics operates at singularities |
title_full_unstemmed |
Transreal newtonian physics operates at singularities |
title_sort |
Transreal newtonian physics operates at singularities |
author |
Anderson, James A. D. W. |
author_facet |
Anderson, James A. D. W. Reis, Tiago Soares dos |
author_role |
author |
author2 |
Reis, Tiago Soares dos |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Anderson, James A. D. W. Reis, Tiago Soares dos |
description |
Sir Isaac Newton, writing in Latin, defined his celebrated laws of motion verbally. When the laws of motion are read as relating to his arithmetic (the Arithmetica Universalis) and his calculus (the method of fluxions), division by zero is undefined so his physics fails at mathematical singularities. The situation is unchanged in modern real arithmetic and real calculus: division by zero is undefined so both Newtonian Physics and its modern developments fail at mathematical singularities. However, when Newton’s text is read as relating to transreal arithmetic and transreal calculus, division by zero is defined and we show that the resulting Transreal Newtonian Physics does operate at mathematical singularities. We hold out the hope that the whole of modern physics may be similarly extended. We use the new physics to predict a convection current at the singularity in a black hole and suggest experiments in astronomy and high energy physics that might confirm or rebut our predictions. Thus our exegesis of Newton’s text extends mathematical physics and may, in future, extend experimental physics. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-11-10 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://seer.ucp.br/seer/index.php/synesis/article/view/738 |
url |
https://seer.ucp.br/seer/index.php/synesis/article/view/738 |
dc.language.iso.fl_str_mv |
por eng |
language |
por eng |
dc.relation.none.fl_str_mv |
https://seer.ucp.br/seer/index.php/synesis/article/view/738/426 https://seer.ucp.br/seer/index.php/synesis/article/view/738/990 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf image/jpeg |
dc.publisher.none.fl_str_mv |
UCP |
publisher.none.fl_str_mv |
UCP |
dc.source.none.fl_str_mv |
Synesis (ISSN 1984-6754); Vol. 7 No. 2 (2015): JUL.-DEZ.; 57-81 Synesis (ISSN 1984-6754); v. 7 n. 2 (2015): JUL.-DEZ.; 57-81 1984-6754 1678-6785 reponame:Synesis (Online) instname:Universidade Católica de Petrópolis (UCP) instacron:UCP |
instname_str |
Universidade Católica de Petrópolis (UCP) |
instacron_str |
UCP |
institution |
UCP |
reponame_str |
Synesis (Online) |
collection |
Synesis (Online) |
repository.name.fl_str_mv |
Synesis (Online) - Universidade Católica de Petrópolis (UCP) |
repository.mail.fl_str_mv |
sergio.salles@ucp.br || paulo.cerqueira@ucp.br |
_version_ |
1797042085279301632 |