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Weyl and the Problem of SpaceLogic of Gauge

Weyl and the Problem of Space: Logic of Gauge [The logic of gauge theory is considered by tracing its development from general relativity to Yang-Mills theory, through Weyl’s two gauge theories. A handful of elements—which for want of better terms can be called geometrical justice, matter wave, second clock effect, twice too many energy levels—are enough to produce Weyl’s second theory; and from there, all that’s needed to reach the Yang-Mills formalism is a non-Abelian structure group (say 𝕊𝕌(N)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$ \mathbb{SU}(N) $$ \end{document}).] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Weyl and the Problem of SpaceLogic of Gauge

Part of the Studies in History and Philosophy of Science Book Series (volume 49)
Editors: Bernard, Julien; Lobo, Carlos
Afriat, Alexander
Weyl and the Problem of Space — Oct 10, 2019
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References (87)

Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2019
ISBN
978-3-030-11526-5
Pages
265 –293
DOI
10.1007/978-3-030-11527-2_10
Publisher site
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Abstract

[The logic of gauge theory is considered by tracing its development from general relativity to Yang-Mills theory, through Weyl’s two gauge theories. A handful of elements—which for want of better terms can be called geometrical justice, matter wave, second clock effect, twice too many energy levels—are enough to produce Weyl’s second theory; and from there, all that’s needed to reach the Yang-Mills formalism is a non-Abelian structure group (say 𝕊𝕌(N)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$ \mathbb{SU}(N) $$ \end{document}).]

Published: Oct 10, 2019

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