Alexandre Guay

This thesis is a philosophical analysis, and in particular an ontological one, of symmetries in modern physics. In the first two chapters, the thesis analyzes the foundation of the concept of symmetry, which is defined as an invariance under a possible change to the system being studied. In the rest of the thesis, various philosophical problems concerning particular symmetries are discussed. This begins in the third chapter with an analysis of the formalization of the definition of symmetry given above in terms of groups and groupoids, highlighting their advantages and limitations. The fourth chapter gives a geography of the uses of symmetry in physics. To achieve this, different criteria for the classification of symmetries in physics are discussed. The thesis concludes with a detailed examination of the ontological status of local gauge symmetry in classical and quantum physics. In this chapter, it is argued that gauge symmetry is the result of a surplus of structure. This result is surprising because gauge symmetry is generally considered the most fundamental symmetry, and is in fact one of the cornerstones of virtually all theoretical attempts to describe the fundamental interactions