Symmetry (physics)

Common card · No. 370570

A symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is preserved or remains unchanged under some transformation. A family of particular transformations may be continuous (such as rotation of a circle) or discrete (e.g., reflection of a bilaterally symmetric figure, or rotation of a regular polygon). Continuous and discrete transformations give rise to corresponding types of symmetries. Mathematically, symmetries are described by symmetry groups; continuous symmetries can be described by Lie groups while discrete symmetries are described by finite groups, lattice groups or other discrete groups. Symmetries are frequently amenable to mathematical formulations such as group representations. Symmetries can be exploited to simplify many problems in physics and explain physical phenomena such as conservation laws, but symmetry principles also play a foundational role in all of the fundamental theories of modern physics. One of the...

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