Weyl geometry in late 20th century physics

Details Weyl geometry in late 20th century physics Weyl geometry in late 20th century physics

2011-11-14

arxiv.org/abs/1111.3220v1

Mathematics

History and Overview

Draft paper to appear in V. Bach, D. Rowe (eds.) Beyond Einstein. Proceedings Mainz Conference September 2008. Einstein Studie

Scientific paper

Weyl's original scale geometry of 1918 ("purely infinitesimal geometry") was withdrawn from physical theory in the early 1920s. It had a comeback in the last third of the 20th century in different contexts: scalar tensor theories of gravity, foundations of physics (gravity, quantum mechanics), elementary particle physics, and cosmology. Here we survey the last two segments. It seems that Weyl geometry continues to have an open research potential for the foundations of physics after the turn of the century.

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