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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 transformations are named after the Dutch physicist Hendrik Lorentz. ... generator is any element of the Lie algebra. A group parameter is a component of a ...
In the fundamental branches of modern physics, namely general relativity and its widely applicable subset special relativity, as well as relativistic quantum mechanics and relativistic quantum field theory, the Lorentz transformation is the transformation rule under which all four-vectors and tensors containing physical quantities transform from one frame of reference to another.
The structure of such an algebra is to a large degree fixed by the demands of Lorentz invariance. In particular, the fermionic operators (grade 1) belong to a (0, 1 / 2 ) or ( 1 / 2 , 0) representation space of the (ordinary) Lorentz Lie algebra. [29] The only possible dimension of spacetime in such theories is 10. [30]
Hendrik Antoon Lorentz (/ ˈ l ɒr ən t s /, LORR-ənts; Dutch: [ˈɦɛndrɪk ˈloːrɛnts]; 18 July 1853 – 4 February 1928) was a Dutch theoretical physicist who shared the 1902 Nobel Prize in Physics with Pieter Zeeman for his theoretical explanation of the Zeeman effect.
This is a topic category for the topic Hendrik Lorentz ... Lorentz–Lorenz equation; Lorentz-violating electrodynamics; Lorentzian algebra;
An alternative version of the Dirac equation whose Dirac operator remains the square root of the Laplacian is given by the Dirac–Kähler equation; the price to pay is the loss of Lorentz invariance in curved spacetime.
The covariant formulation of classical electromagnetism refers to ways of writing the laws of classical electromagnetism (in particular, Maxwell's equations and the Lorentz force) in a form that is manifestly invariant under Lorentz transformations, in the formalism of special relativity using rectilinear inertial coordinate systems.
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