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Recent preprints (selection)



History of mathematics and physics

2013

The problem of space in the light of relativity: the views of H. Weyl and E. Cartan.
To appear in L. Bioesmat-Martagon (Ed.): Eléments d'une biographie de l'espace mathématique. Nancy. http://arxiv.org/abs/1310.7334
2012

Leibnizian traces in H. Weyl's  Philosophie der Mathematik und Naturwissenschaften.
In R. Krömer, Y Chin Drian (eds.) New Essayson Leibniz Reception. Basel: Birkhäuser, 203--216.
2011

Mathematische Physik bei Hermann Weyl -- zwischen 'Hegelscher Physik' und 'symbolischer Konstruktion der Wirklichkeit'. In K.-H. Schlote, M. Schneider (eds.): Mathematics meets physics - General and local aspects/Mathematik und Physik in Wechselbeziehungen. Frankfurt/M 2011, 183-212.
 2011

H. Weyl's and E. Cartan's proposals for infinitesimal geometry in the early 1920s.   Boletim da Sociedada Portuguesa de Matemática (Número Especial A. da Mira Fernandes, 225-245.
Reprint in Newsletter European Mathematical Society84: 2012, 22–30.
2009

Weyl geometry in late 20th century physics. To appear in V. Bach, D. Rowe (eds.)  Beyond Einstein. Proceedings Mainz Conference September 2008.  Einstein Studies. Basel: Birkhäuser.
http://arxiv.org/abs/1111.3220v1
2008

Weyl entering the 'new' quantum mechanics discourse.  In C. Joas, C. Lehner, J. Renn (eds.).   HQ-1: Conference on the History of Quantum Physics (Berlin July 2--6, 2007), Preprint MPI History of Science Berlin,  350 vol. II, 253--271.
2008

Hausdorff Blick auf die entstehende algebraische Topologie . In F. Hausdorff Gesammelte Werke, III. Berlin etc: Springer (2008), 865--892 (Preprint Version)
2006

Introducing  groups into quantum mechanics. Historia Mathematica 33 (2006), 440-490  (preprint version) [http://arxiv.org/math.HO/0409571]
2006

Practice-related symbolic realism in H. Weyl's mature view of mathematical knowledge. In: J. Ferreiros, J. Gray (eds.),   The Architecture of Modern Mathematics ... Oxford 2006, 291-310 (preprint version)
2006

Another look at Miller's myth. To appear in Philosophia Scientiae.
2005

Curved spaces: Mathematics and empirical evidence, ca. 1830 -- 1923.    Oberwolfach Reports  2 (4), 3195--3198.
2005

Local spinor structures in V. Fock's and H. Weyl's work on the Dirac equation (1929). In D. Flament e.a. (eds.) Géométrie au vingtième siècle, 1930-2000. Paris: Hermann (2005), 284-301 (preprint version) arxiv.org/abs/physics/0409158
2004

The changing concept of matter in H. Weyl's thought, 1918 - 1930. In Lützen, J. e.a,. (eds.) The Interaction between Mathematics, Physics and Philosophy ... Dordrecht: Kluwer (2006), 281-305 . (preprint version) [http://arxiv.org/math.HO/0409576]
2004

 C.F.Gauß' Präzisionsmessungen terrestrischer Dreiecke und seine Überlegungen zur empirischen Fundierung der Geometrie in den 1820er Jahren. In: Folkerts, M. e.a. (eds.) Form, Zahl, Ordnung ...  Stuttgart:Steiner (2004), 355-380 (Preprint Version) [http://arxiv.org/math.HO/0409578] (2004a)
2004

Hermann Weyl's analysis of the ``problem of space'' and the origin of gauge structures.   Science in Context 17 (2004), 165-197 (preprint version)





Weyl geometric models




June 2012
revised July 2013

Paving the way for transitions -- a case for Weyl geometry. Submitted to  D. Lehmkuhl e.a. (eds). Toward a Metatheory of Spacetime Theories. arxiv.org/abs/1206.1559
May 2011

Weyl geometric gravity and electroweak symmetry "breaking". Annalen der Physik 523: 507-530.
arxiv.org/abs/1102.3478
May 2009

Cosmological spacetimes balanced by a Weyl geometric scale covariant scalar  field
Foundations of Physics 39: 45-72   arXiv.org/0805.2557





Non-specialized articles / Popularisierung

Jul 2006

Die  Gödelschen Unvollständigkeitssätze und das Hilbertsche Programm einer ``finiten'' Beweistheorie. . In W. Altner e.a. (Hrsg.) Künstliche Intelligenz und menschliche Person, Marburg 2006, 15-38. (Preprint version  deutsch)
Feb 2006
G.W. Leibniz als Mathematiker. (Preprint deutsch)
April 2005

A Einstein and H. Weyl : Intertwining paths and mutual influences. Preprint conference Lecce April 2005
Mar 2005
Hermann Weyl   
Mar 2005
Felix Hausdorff.,  EMS Newsletter March 2005
Jan 2005
Einstein-Weyl Modelle der Kosmologie.               (Preprint deutsch)
Einstein Weyl models of cosmology:    (English)
Das derzeitige Standardmodell der Kosmologie.  (Preprint deutsch)
The standard model of contemporary cosmology     (English)
[English versions from:]  Renn, Jürgen (ed.). Albert Einstein. Chief Engineer of the Universe. One Hundred Authors for Einstein. Weinheim: Wiley VCH, 2005, 388--397.












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