Editing Group theory (section)

===Physics===
In [[physics]], groups are important because they describe the symmetries which the laws of physics seem to obey. According to [[Noether's theorem]], every continuous symmetry of a physical system corresponds to a [[Conservation law (physics)|conservation law]] of the system. Physicists are very interested in group representations, especially of Lie groups, since these representations often point the way to the "possible" physical theories. Examples of the use of groups in physics include the [[Standard Model]], [[gauge theory]], the [[Lorentz group]], and the [[Poincaré group]].

Group theory can be used to resolve the incompleteness of the statistical interpretations of mechanics developed by [[Josiah Willard Gibbs|Willard Gibbs]], relating to the summing of an infinite number of probabilities to yield a meaningful solution.<ref>[[Norbert Wiener]], Cybernetics: Or Control and Communication in the Animal and the Machine,  {{ISBN|978-0262730099}}, Ch 2</ref>