Lorentz Group

In physics (and mathematics), the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime, the classical setting for all (nongravitational) physical phenomena. The Lorentz group is named for the Dutch physicist Hendrik Lorentz.

The mathematical form of

  • the kinematical laws of special relativity,
  • Maxwell's field equations in the theory of electromagnetism,
  • Dirac's equation in the theory of the electron,

are each invariant under the Lorentz transformations. Therefore the Lorentz group is said to express the fundamental symmetry of many of the known fundamental Laws of Nature.

Read more about Lorentz Group:  Basic Properties, Connected Components, The Restricted Lorentz Group, Relation To The Möbius Group, Appearance of The Night Sky, Conjugacy Classes, The Lie Algebra of The Lorentz Group, Subgroups of The Lorentz Group, Covering Groups, Topology, General Dimensions

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