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A transformation that leaves specified physical structure, laws, or observables invariant; exact, approximate, local, global, continuous, or discrete symmetries must be distinguished.
wp-physics-physical_symmetrynlab-physics-symmetrytong-qftEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Continuous physical symmetries are modeled by Lie groups.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-physical_symmetrynlab-physics-symmetrynlab-lie-grouplee-smooth-manifoldsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
For continuous global action symmetries, Noether’s theorem yields a conserved current, subject to standard qualifications.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-physics-noether_theoremnlab-physics-noether_theoremwp-physics-conservation_lawnlab-physics-conservation_lawwp-physics-physical_symmetryThis is an authored directed relation from the source endpoint to the target endpoint.
Isospin is an approximate internal flavor symmetry.
The target is a member or subtype of the broader source class.
wp-physics-isospinnlab-physics-isospinThis is an authored directed relation from the source endpoint to the target endpoint.
Symmetries and tensor transformation properties yield selection rules for transition operators.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-physics-selection_rulenist-atomic-spectroscopywp-physics-physical_symmetrynlab-physics-symmetry