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Identity in Gauge Theories

  • Author(s): Dougherty, John
  • Advisor(s): Callender, Craig A
  • et al.

I argue that contemporary theories of physics are best understood as involving a more refined identity relation than the one found in first order logic. I use this identity relation to provide novel interpretations of Yang–Mills theory and General Relativity, two of the most successful physical theories. I show that my interpretation is superior to those currently on the market because it solves problems left open by extant interpretations and provides a better explanation of the distinctive features of these theories. My interpretation also fills gaps in justification found in the physics literature.

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