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  2. Four-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Four-dimensional_space

    Mathematically, a four-dimensional space is a space that needs four parameters to specify a point in it. For example, a general point might have position vector a, equal to. This can be written in terms of the four standard basis vectors (e1, e2, e3, e4), given by. so the general vector a is.

  3. Minkowski space - Wikipedia

    en.wikipedia.org/wiki/Minkowski_space

    In physics, Minkowski space (or Minkowski spacetime) (/ mɪŋˈkɔːfski, - ˈkɒf -/ [1]) is the main mathematical description of spacetime in the absence of gravitation. It combines inertial space and time manifolds into a four-dimensional model. The model helps show how a spacetime interval between any two events is independent of the ...

  4. Fourth dimension - Wikipedia

    en.wikipedia.org/wiki/Fourth_dimension

    Fourth Dimension Records, a UK record label. "The 4th Dimension", a song by Devo on their album Shout. "Fourth Dimension", a song by Lights on her album Siberia. 4th Dimension, a jazz fusion quartet founded in 2007 by John McLaughlin. "4th Dimension" (song), a song by Kids See Ghosts on their 2018 album Kids See Ghosts.

  5. Spacetime - Wikipedia

    en.wikipedia.org/wiki/Spacetime

    In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum. Spacetime diagrams are useful in visualizing and understanding relativistic effects, such as how different observers perceive where and when events ...

  6. Space - Wikipedia

    en.wikipedia.org/wiki/Space

    Space is a three-dimensional continuum containing positions and directions. [1] In classical physics, physical space is often conceived in three linear dimensions. Modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. [2]

  7. Rotations in 4-dimensional Euclidean space - Wikipedia

    en.wikipedia.org/wiki/Rotations_in_4-dimensional...

    In mathematics, the group of rotations about a fixed point in four-dimensional Euclidean space is denoted SO (4). The name comes from the fact that it is the special orthogonal group of order 4. In this article rotation means rotational displacement. For the sake of uniqueness, rotation angles are assumed to be in the segment [0, π] except ...

  8. Kaluza–Klein theory - Wikipedia

    en.wikipedia.org/wiki/Kaluza–Klein_theory

    The space M × C is compactified over the compact set C, and after Kaluza–Klein decomposition one has an effective field theory over M. In 1926, Oskar Klein proposed that the fourth spatial dimension is curled up in a circle of a very small radius, so that a particle moving a short distance along that axis would return to where it began. The ...

  9. Point groups in four dimensions - Wikipedia

    en.wikipedia.org/.../Point_groups_in_four_dimensions

    A hierarchy of 4D point groups and some subgroups. Vertical positioning is grouped by order. Blue, green, and pink colors show reflectional, hybrid, and rotational groups. In geometry, a point group in four dimensions is an isometry group in four dimensions that leaves the origin fixed, or correspondingly, an isometry group of a 3-sphere .