Categories and the Foundations of Classical Field Theories

Abstract

I review some recent work on applications of category theory to questions concerning theoretical structure and theoretical equivalence of classical field theories, including Newtonian gravitation, general relativity, and Yang-Mills theories.

26 pages. Written for a volume entitled "Categories for the Working Philosopher", edited by Elaine Landry

References in corpus (3)

• Understanding Gauge
• Measure, Topology and Probabilistic Reasoning in Cosmology
• Fiber Bundles, Yang-Mills Theory, and General Relativity

Cited by in corpus (3)

• On Representational Redundancy, Surplus Structure, and the Hole Argument
• Are Newtonian Gravitation and Geometrized Newtonian Gravitation Theoretically Equivalent?
• A Categorical View on the Principle of Relativity