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Weyl and the Problem of SpaceThe Changing Faces of the Problem of Space in the Work of Hermann Weyl

Weyl and the Problem of Space: The Changing Faces of the Problem of Space in the Work of Hermann... [During his life Weyl approached the problem of space (PoS) from various sides. Two aspects stand out as permanent features of his different approaches: the unique determination of an affine connection (i.e., without torsion in the terminology of Cartan) and the question which type of group characteries physical space. The first feature came up in 1919 (commentaries to Riemann’s inaugural lecture) and played a crucial role in Weyl’s work on the PoS in the early 1920s. He defended the central role of affine connections even in the light of Cartan’s more general framework of connections with torsion. In later years, after the rise of the Dirac field, it could have become problematic, but Weyl saw the challenge posed to Einstein gravity by spin coupling primarily in the possibility to allow for non-metric affine connections. Only after Weyl’s death Cartan’s approach to infinitesimal homogeneity and torsion became revitalied in gravity theories.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Weyl and the Problem of SpaceThe Changing Faces of the Problem of Space in the Work of Hermann Weyl

Part of the Studies in History and Philosophy of Science Book Series (volume 49)
Editors: Bernard, Julien; Lobo, Carlos
Scholz, Erhard
Weyl and the Problem of Space — Oct 10, 2019
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References (57)

Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2019
ISBN
978-3-030-11526-5
Pages
213 –230
DOI
10.1007/978-3-030-11527-2_8
Publisher site
See Chapter on Publisher Site

Abstract

[During his life Weyl approached the problem of space (PoS) from various sides. Two aspects stand out as permanent features of his different approaches: the unique determination of an affine connection (i.e., without torsion in the terminology of Cartan) and the question which type of group characteries physical space. The first feature came up in 1919 (commentaries to Riemann’s inaugural lecture) and played a crucial role in Weyl’s work on the PoS in the early 1920s. He defended the central role of affine connections even in the light of Cartan’s more general framework of connections with torsion. In later years, after the rise of the Dirac field, it could have become problematic, but Weyl saw the challenge posed to Einstein gravity by spin coupling primarily in the possibility to allow for non-metric affine connections. Only after Weyl’s death Cartan’s approach to infinitesimal homogeneity and torsion became revitalied in gravity theories.]

Published: Oct 10, 2019

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