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mathematical physics > general relativity > four-vector
mathematical physics > special relativity > Minkowski space > four-vector
... > topology > algebraic topology > manifold > differentiable manifold > Lie group > homogeneous space > affine space > Minkowski space > four-vector
... > geometry > topological space > manifold > differentiable manifold > Lie group > homogeneous space > affine space > Minkowski space > four-vector
... > geometry > differential geometry > differentiable manifold > Lie group > homogeneous space > affine space > Minkowski space > four-vector
... > topology > differential topology > differentiable manifold > Lie group > homogeneous space > affine space > Minkowski space > four-vector
... > algebra > group theory > topological group > Lie group > homogeneous space > affine space > Minkowski space > four-vector
... > algebra > abstract algebra > algebraic structure > homogeneous space > affine space > Minkowski space > four-vector
geometry > affine geometry > affine space > Minkowski space > four-vector
geometry > pseudo-Euclidean space > Minkowski space > four-vector
algebra > linear algebra > vector space > vector > four-vector
mathematical physics > vector calculus > vector > four-vector
mathematical analysis > calculus > vector calculus > vector > four-vector
geometry > differential geometry > vector calculus > vector > four-vector

Preferred term

four-vector  

Definition

  • In special relativity, a four-vector (or 4-vector) is an object with four components, which transform in a specific way under Lorentz transformations. Specifically, a four-vector is an element of a four-dimensional vector space considered as a representation space of the standard representation of the Lorentz group, the (1/2,1/2) representation. It differs from a Euclidean vector in how its magnitude is determined. The transformations that preserve this magnitude are the Lorentz transformations, which include spatial rotations and boosts (a change by a constant velocity to another inertial reference frame).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Four-vector)

Broader concept

Entry terms

  • 4-vector

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URI

http://data.loterre.fr/ark:/67375/PSR-MF8CXW98-2

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RDF/XML TURTLE JSON-LD Created 7/3/23, last modified 7/26/23