127 citations · 560 across the 56 of their papers we have counts for
5 papers · 1 filter
On Einstein Algebras and Relativistic Spacetimes
Sarita Rosenstock, Thomas William Barrett, James Owen Weatherall
In this paper, we examine the relationship between general relativity and the theory of Einstein algebras. We show that according to a formal criterion for theoretical equivalence…
Categories and the Foundations of Classical Field Theories
James Owen Weatherall
I review some recent work on applications of category theory to questions concerning theoretical structure and theoretical equivalence of classical field theories, including Newton…
Understanding Gauge
James Owen Weatherall
I consider two usages of the expression "gauge theory". On one, a gauge theory is a theory with excess structure; on the other, a gauge theory is any theory appropriately related t…
A Categorical Equivalence between Generalized Holonomy Maps on a Connected Manifold and Principal Connections on Bundles over that Manifold
Sarita Rosenstock, James Owen Weatherall
A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path Structures in General Relativity and Yang-Mills Theory." Int. J. Th. Phys. 30(9),…
Maxwell-Huygens, Newton-Cartan, and Saunders-Knox Spacetimes
James Owen Weatherall
I address a question recently raised by Simon Saunders [Phil. Sci. 80(2): 22-48 (2013)] concerning the relationship between the spacetime structure of Newton-Cartan theory and that…