Some mathematical, epistemological, and historical reflections on the relationship between geometry and reality, space-time theory and the geometrization of theoretical physics, from Riemann to Weyl and beyond

DOI10.1007/s10699-018-9550-6zbMath1428.00009OpenAlexW2801913445WikidataQ129953365 ScholiaQ129953365MaRDI QIDQ2289683

Luciano Boi

Publication date: 24 January 2020

Published in: Foundations of Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10699-018-9550-6

zbMATH Keywords

geometrystringsunificationgeometrizationspacereality

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Applications of differential geometry to physics (53Z05)

Cites Work

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• Geometrical and topological foundations of theoretical physics: from gauge theories to string program
• Theories of space-time in modern physics
• Looking from the inside and from the outside
• Characteristic forms and geometric invariants
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• Topological models in Biology
• The unreasonable effectiveness of mathematics in the natural sciences. Richard courant lecture in mathematical sciences delivered at New York University, May 11, 1959
• IDEAS OF GEOMETRIZATION, GEOMETRIC INVARIANTS OF LOW-DIMENSIONAL MANIFOLDS, AND TOPOLOGICAL QUANTUM FIELD THEORIES
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Characteristic Classes. (AM-76)
• Outline of a generally covariant quantum field theory and a quantum theory of gravity
• Knots
• Geometrization of quantum mechanics
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