The symmetry of a physical system under spatial inversion, also known as parity symmetry.Mirror symmetry, or parity symmetry, is the property of a physical system to remain unchanged when spatial coordinates are inverted — as if reflected in a mirror. In particle physics, this means that the laws governing a process should be identical to those governing its mirror image. For decades, physicists assumed this symmetry was fundamental, but experiments in the 1950s showed that the weak nuclear force violates it, meaning some processes occur preferentially in one 'handedness' over the other.
The concept was formalized in quantum mechanics in the 1920s–1930s, with Eugene Wigner providing a rigorous treatment. The violation of parity in weak interactions was proposed by Chen-Ning Yang and Tsung-Dao Lee in 1956 and confirmed experimentally by Chien-Shiung Wu in 1957.
In mathematical terms, parity transformation flips the sign of all spatial coordinates (x, y, z) → (−x, −y, −z). A system has mirror symmetry if its Hamiltonian (energy operator) commutes with the parity operator. When this symmetry is exact, every physical state has a mirror counterpart with identical energy and behavior. In practice, testing parity involves comparing rates of processes with their mirror images, often using polarized particles or chiral molecules.
Parity violation is exploited in neutrino detection and in studying the chiral structure of fundamental interactions, as well as in medical imaging techniques like PET scans that rely on weak interaction processes.
The universe itself may have a slight left-handed bias, as evidenced by the fact that all observed neutrinos are left-handed and antineutrinos right-handed.






