Mathematical Analogies in Physics: The Curious Case of Gauge Symmetries

DOI10.1007/978-3-031-21655-8_11OpenAlexW3207095427MaRDI QIDQ6152199

Guy Hetzroni, Noah Stemeroff

Publication date: 12 February 2024

Published in: Mathematical Knowledge, Objects and Applications (Search for Journal in Brave)

Full work available at URL: http://philsci-archive.pitt.edu/19716/1/Analogies%20Archive%20Preprint.pdf

zbMATH Keywords

applicability of mathematicsnaturalismHermann Weylidealismmathematical analogiesthe gauge argument

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Yang-Mills and other gauge theories in quantum field theory (81T13) Physics (00A79)

Cites Work

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• Weyls search for a difference between `physical' and `mathematical' automorphisms
• Why gauge?
• Relativity and equivalence in Hilbert space: a principle-theory approach to the Aharonov-Bohm effect
• Maxwell's contrived analogy: an early version of the methodology of modeling
• A GENERALIZED EQUIVALENCE PRINCIPLE
• Invariant Theoretical Interpretation of Interaction
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Conceptual Foundations of Quantum Field Theory
• Hermann Weyl's Analysis of the “Problem of Space” and the Origin of Gauge Structures
• Steiner on the Applicability of Mathematics and Naturalism

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