Hendrik Antoon Lorentz (1853–1928), after whom the Lorentz group is named.
In physics and mathematics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime, the classical and quantum setting for all (non-gravitational) physical phenomena. The Lorentz group is named for the Dutch physicist Hendrik Lorentz.
For example, the following laws, equations, and theories respect Lorentz symmetry:
The kinematical laws of special relativity
Maxwell's field equations in the theory of electromagnetism
The Dirac equation in the theory of the electron
The Standard Model of particle physics
The Lorentz group expresses the fundamental symmetry of space and time of all known fundamental laws of nature. In small enough regions of spacetime where gravitational variances are negligible, physical laws are Lorentz invariant in the same manner as special relativity.
In physics and mathematics, the Lorentzgroup is the group of all Lorentz transformations of Minkowski spacetime, the classical and quantum setting for...
In physics, the Lorentz transformations are a six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that...
The Lorentzgroup is a Lie group of symmetries of the spacetime of special relativity. This group can be realized as a collection of matrices, linear...
In relativistic physics, Lorentz symmetry or Lorentz invariance, named after the Dutch physicist Hendrik Lorentz, is an equivalence of observation or...
connected to the Lorentz transformation of special relativity, and it turns out that the conformal group of spacetime includes the Lorentzgroup and the Poincaré...
of LorentzGroup" (PDF). Archived from the original (PDF) on 2018-11-23. Retrieved 2013-07-07. Maciejko, Joseph (2007). "Representations of Lorentz and...
Hendrik Antoon Lorentz (/ˈlɒrənts/; 18 July 1853 – 4 February 1928) was a Dutch physicist who shared the 1902 Nobel Prize in Physics with Pieter Zeeman...
of Lorentz transformations comprises the development of linear transformations forming the Lorentzgroup or Poincaré group preserving the Lorentz interval...
hyperbolic rotations, just as the group SO(2) can be interpreted as circular rotations. In physics, the Lorentzgroup O(1,3) is of central importance,...
quasi-sphere of the biquaternions provides a representation of the Lorentzgroup, which is the foundation of special relativity. The algebra of biquaternions...
Poincaré group is the affine group associated to the Lorentzgroup, O(1, 3, F) ⋉ Fn. The general semilinear group ΓL(n, F) is the group of all invertible semilinear...
equations is Lorentzgroup theory, wherein the spin of the particle has a correspondence with the representations of the Lorentzgroup. The failure of...
mechanics. The Lorentzgroup is a 6-dimensional Lie group of linear isometries of the Minkowski space. The Poincaré group is a 10-dimensional Lie group of affine...
instance, the Lorentzgroup is a subgroup of the conformal group in four dimensions.: 41–42 The Lorentzgroup is isomorphic to the Laguerre group transforming...
representations of the Lorentz algebra as representations of the Lorentzgroup, even if they do not arise as representations of the Lorentzgroup. The representation...
operators, and relates them to the Lie groups, and relativistic transformations in the Lorentzgroup and Poincaré group. The notational conventions used in...
and group theory. This article provides a few of the easier ones to follow in the context of special relativity, for the simplest case of a Lorentz boost...
transform in a certain "spinorial" fashion under the action of the Lorentzgroup, which describes the symmetries of Minkowski spacetime. They occur in...
specifically, a bispinor that transforms "spinorially" under the action of the Lorentzgroup. Dirac spinors are important and interesting in numerous ways. Foremost...
own rest frame. It is also known as Lorentz contraction or Lorentz–FitzGerald contraction (after Hendrik Lorentz and George Francis FitzGerald) and is...
physics, Lorentz invariance states that the laws of physics should remain unchanged under Lorentz transformation. In quantum gravity, Lorentz invariance...
mathematics, the name symplectic group can refer to two different, but closely related, collections of mathematical groups, denoted Sp(2n, F) and Sp(n) for...
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