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From the invariance of the spacetime interval it follows = and this matrix equation contains the general conditions on the Lorentz transformation to ensure invariance of the spacetime interval. Taking the determinant of the equation using the product rule [ nb 4 ] gives immediately [ det ( Λ ) ] 2 = 1 ⇒ det ( Λ ) = ± 1 {\displaystyle \left ...
Painting of Hendrik Lorentz by Menso Kamerlingh Onnes, 1916 Portrait by Jan Veth Lorentz' theory of electrons. Formulas for the Lorentz force (I) and the Maxwell equations for the divergence of the electrical field E (II) and the magnetic field B (III), La théorie electromagnétique de Maxwell et son application aux corps mouvants, 1892, p. 451.
At any time after t = t′ = 0, xx′ is not zero, so dividing both sides of the equation by xx′ results in =, which is called the "Lorentz factor". When the transformation equations are required to satisfy the light signal equations in the form x = ct and x ′ = ct ′, by substituting the x and x'-values, the same technique produces the ...
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:
Hendrik Antoon Lorentz (right) after whom the Lorentz group is named and Albert Einstein whose special theory of relativity is the main source of application. Photo taken by Paul Ehrenfest 1921. The Lorentz group is a Lie group of symmetries of the spacetime of special relativity .
Hendrik Lorentz. The Lorentz ether theory, which was developed mainly between 1892 and 1906 by Lorentz and Poincaré, was based on the aether theory of Augustin-Jean Fresnel, Maxwell's equations and the electron theory of Rudolf Clausius.
Pages in category "Hendrik Lorentz" The following 33 pages are in this category, out of 33 total. ... Lorentz–Lorenz equation; Lorentz-violating electrodynamics;
The equations are free of the constants ε 0 and μ 0 that are present in the SI system. (In addition ε 0 and μ 0 are overdetermined, because ε 0 μ 0 = 1 / c 2.) The below points are true in both Heaviside–Lorentz and Gaussian systems, but not SI.