A general, formal framework for approximate symmetry is proposed, based on the concept of metric relation in state spaces of systems.(This is a generalization of the general symmetry formalism, based on the concept of, equivalence relation.) It is then quite straightforward to define: approximate symmetry transformation, approximate symmetry group, exact symmetry subgroup of this, goodness of approximation, and exact symmetry limit. For details see ref. 1.
KeywordsState Space Equivalence Relation Symmetry Group Symmetry Transformation Formal Framework
- 1.J. Rosen, Tel-Aviv University report TAUP-438-74. *** DIRECT SUPPORT *** A3418042 00022Google Scholar