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    • https://phys.libretexts.org/Bookshelves/Relativity/General_Relativity_(Crowell)/03%3A_Differential_Geometry/3.07%3A_The_Metric_(Part_2)
      The set of all transformations that can be built out of successive translations, rotations, and reflections is called the group of isometries. It can also be defined as the group that preserves dot pr...The set of all transformations that can be built out of successive translations, rotations, and reflections is called the group of isometries. It can also be defined as the group that preserves dot products, or the group that preserves congruence of triangles.
    • https://phys.libretexts.org/Bookshelves/Nuclear_and_Particle_Physics/Nuclear_and_Particle_Physics_(Walet)/07%3A_Symmetries_and_Particle_Physics/7.05%3A_The_CPT_Theorem
      There is a fairly strong proof that only minimal physical assumptions (locality, causality) that the product of C , P and T is a good symmetry of any theory. Up to now experiment has not shown an...There is a fairly strong proof that only minimal physical assumptions (locality, causality) that the product of C , P and T is a good symmetry of any theory. Up to now experiment has not shown any breaking of this product. We would have to rethink a lot of basic physics if this symmetry is not present. I am reasonably confident that if breaking is ever found there will be ten models that can describe it within a month!

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