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Weyl geometry in late 20th century physics

2011/11/14 by Erhard Scholz, Scholz, Erhard · 3 citations
Mathematics · Physics and Astronomy · #01A60 #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #History and Overview (math.HO) #History and Philosophy of Physics (physics.hist-ph) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc #math.HO #msc:01A60 #physics.hist-ph

paper · pdf · doi:10.48550/arxiv.1111.3220

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

arxiv created 2011/11/14 · openalex publication_date 2011/11/14 · arxiv updated 2011/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Weyl's original scale geometry of 1918 ("purely infinitesimal geometry") was withdrawn from physical theory in the early 1920s.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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