Spontaneous symmetry breaking

A common physical example is a ferromagnet, which has symmetrical laws at high temperatures but settles into a specific magnetic direction when cooled below its Curie temperature. The final state of the magnet spontaneously breaks the underlying rotational symmetry.

In particle physics, the Higgs mechanism relies on spontaneous symmetry breaking to give mass to fundamental particles like the W and Z bosons. The confirmation of this process was supported by the discovery of the Higgs boson at CERN in 2012.

No, the underlying mathematical laws of the system remain perfectly symmetrical. However, the actual ground state or observable behavior of the system randomly settles into an asymmetric configuration.

In explicit symmetry breaking, the system's laws themselves are asymmetrical due to external forces or bias terms. In spontaneous breaking, the laws are completely symmetrical, but nature randomly chooses an asymmetrical physical state.