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Recent preprints (selection)



History of mathematics and physics




Apr 2010

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.
Jan 2010

H. Weyl's and E. Cartan's proposals for infinitesimal geometry in the early 1920s.  To appear in Boletim da Sociedada Portuguesa de Matemática (special issue Proceedings of  Mathematical Relativity in Lisbon, International Conference in honour of Aureliano de Mira Fernandes (1884-1958),  Lisbon, June 18-19 2009)
Aug 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
July 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.
Jan. 2008

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

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





Cosmological models




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
Sep 2007

Einstein universes stabilized    [http://arxiv.org/gr-qc/0703102 ]
Mar 2007
Scale covariant gravity and equilibrium cosmologies   [http://arxiv.org/gr-qc/0703102 ]
Jan 2007

Nov 2005
Sep 2004
April 2004

Reports and discussion on preprint arXiv:gr-qc/0511113 On the geometry of cosmological model building
On the geometry of cosmological model building. [http://arxiv.org/gr-qc/0511113]
An extended frame for cosmology by integrable Weyl geometry.  [http://arxiv.org/astro-ph/0409635]
An outline of Weyl geometric models in cosmology.    [http://arxiv.org/astro-ph/0403446] .(2004b)







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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