• Thumbnail for Minkowski space
    In physics, Minkowski space (or Minkowski spacetime) (/mɪŋˈkɔːfski, -ˈkɒf-/) is the main mathematical description of spacetime in the absence of gravitation...
    79 KB (10,620 words) - 19:46, 7 October 2024
  • Thumbnail for Hermann Minkowski
    relativity. Minkowski is perhaps best known for his foundational work describing space and time as a four-dimensional space, now known as "Minkowski spacetime"...
    21 KB (1,924 words) - 23:34, 24 August 2024
  • diagram Minkowski distance Minkowski functional Minkowski inequality Minkowski space Null vector (Minkowski space) Minkowski plane Minkowski's theorem...
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  • Thumbnail for Minkowski distance
    The Minkowski distance or Minkowski metric is a metric in a normed vector space which can be considered as a generalization of both the Euclidean distance...
    5 KB (676 words) - 01:53, 30 July 2024
  • Thumbnail for Spacetime
    However, space and time took on new meanings with the Lorentz transformation and special theory of relativity. In 1908, Hermann Minkowski presented a...
    132 KB (19,758 words) - 06:50, 3 November 2024
  • manifold M {\displaystyle M} is flat space, that is, Euclidean space or pseudo-Euclidean space (as for Minkowski space), we can choose global flat coordinates...
    27 KB (4,704 words) - 17:03, 13 November 2024
  • Thumbnail for Spacetime diagram
    Hermann Minkowski in 1908. Minkowski diagrams are two-dimensional graphs that depict events as happening in a universe consisting of one space dimension...
    48 KB (6,165 words) - 19:38, 21 November 2024
  • Thumbnail for Minkowski addition
    In geometry, the Minkowski sum of two sets of position vectors A and B in Euclidean space is formed by adding each vector in A to each vector in B: A +...
    23 KB (2,979 words) - 15:50, 23 May 2024
  • Thumbnail for Space
    and space dimensions should not be viewed as exactly equivalent in Minkowski space. One can freely move in space but not in time. Thus, time and space coordinates...
    35 KB (4,431 words) - 17:03, 18 November 2024
  • Thumbnail for Anti-de Sitter space
    spacetime of constant curvature are de Sitter space (positive), Minkowski space (zero), and anti-de Sitter space (negative). As such, they are exact solutions...
    30 KB (4,902 words) - 06:38, 20 November 2024
  • Minkowski norm may refer to: The proper length in Minkowski space The norm defined in the tangent bundle of a Finsler manifold The vector p-norm The norm...
    230 bytes (65 words) - 14:58, 7 December 2010
  • Thumbnail for Euclidean space
    example of such a space is the Minkowski space, which is the space-time of Einstein's special relativity. It is a four-dimensional space, where the metric...
    47 KB (6,964 words) - 20:52, 7 November 2024
  • Thumbnail for Dimension
    temporally, but rather are known relative to the motion of an observer. Minkowski space first approximates the universe without gravity; the pseudo-Riemannian...
    34 KB (3,918 words) - 15:21, 23 October 2024
  • Superspace (redirect from Super-space)
    One such usage is as a synonym for super Minkowski space. In this case, one takes ordinary Minkowski space, and extends it with anti-commuting fermionic...
    15 KB (2,266 words) - 20:11, 21 November 2024
  • examples are the flat Lorentzian plane (a two-dimensional subspace of Minkowski space) and the curved de Sitter and anti-de Sitter planes. Other types of...
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  • Thumbnail for Triangle inequality
    of triples examined is less than the number of pairs examined. The Minkowski space metric η μ ν {\displaystyle \eta _{\mu \nu }} is not positive-definite...
    34 KB (5,175 words) - 02:40, 21 October 2024
  • mathematics and physics, super Minkowski space or Minkowski superspace is a supersymmetric extension of Minkowski space, sometimes used as the base manifold...
    15 KB (2,186 words) - 18:10, 1 April 2023
  • Thumbnail for Four-dimensional space
    Hinton. The study of Minkowski space required Riemann's mathematics which is quite different from that of four-dimensional Euclidean space, and so developed...
    44 KB (5,350 words) - 21:22, 12 November 2024
  • Thumbnail for Vector space
    orthogonal. An important variant of the standard dot product is used in Minkowski space: R 4 {\displaystyle \mathbf {R} ^{4}} endowed with the Lorentz product...
    87 KB (11,487 words) - 18:57, 28 October 2024
  • Thumbnail for Inner product space
    inner products that applies to all normed spaces Minkowski distance – Mathematical metric in normed vector space Orthogonal basis Orthogonal complement –...
    56 KB (7,307 words) - 12:28, 12 November 2024
  • theory of numbers, Hermann Minkowski introduced a notion of the space that nowadays is called the finite-dimensional Banach space. Let F 0 ⊂ E n {\displaystyle...
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  • Thumbnail for Special relativity
    spacetime. Special relativity is restricted to the flat spacetime known as Minkowski space. As long as the universe can be modeled as a pseudo-Riemannian manifold...
    188 KB (25,194 words) - 14:28, 23 November 2024
  • and the spacetime approximates that of Minkowski space. The metric is then written as the sum of the Minkowski metric and a term representing the deviation...
    34 KB (5,099 words) - 19:57, 21 November 2024
  • submanifold of a generalized Minkowski space of one higher dimension, including the induced metric. Take Minkowski space R1,n with the standard metric:...
    11 KB (2,190 words) - 18:31, 17 November 2024
  • conformal group C(1,3) of compactified Minkowski spacetime. Points in Minkowski space are related to subspaces of twistor space through the incidence relation...
    6 KB (902 words) - 07:14, 28 December 2023
  • Thumbnail for Hyperboloid model
    forward sheet S+ of a two-sheeted hyperboloid in (n+1)-dimensional Minkowski space or by the displacement vectors from the origin to those points, and...
    23 KB (3,455 words) - 06:00, 30 May 2024
  • mathematics, specifically the field of algebraic number theory, a Minkowski space is a Euclidean space associated with an algebraic number field. If K is a number...
    1 KB (121 words) - 02:38, 14 March 2023
  • Thumbnail for Hyperbolic space
    hyperbolic n {\displaystyle n} -space as isometrically embedded inside the ( n + 1 ) {\displaystyle (n+1)} -dimensional Minkowski space (which is not a Riemannian...
    10 KB (1,521 words) - 06:14, 7 November 2024
  • geometry is the study of "Euclidean space with a point added at infinity", or a "Minkowski (or pseudo-Euclidean) space with a null cone added at infinity"...
    21 KB (3,351 words) - 09:08, 12 December 2023
  • Thumbnail for Hyperbolic geometry
    provides a representation of events one temporal unit into the future in Minkowski space, the basis of special relativity. Each of these events corresponds...
    56 KB (6,939 words) - 03:49, 22 November 2024