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  2. Four-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Four-dimensional_space

    Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world. For example, the volume of a rectangular box is found by measuring and multiplying its ...

  3. Rotations in 4-dimensional Euclidean space - Wikipedia

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

    Rotations in 4-dimensional Euclidean space 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.

  4. 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 ...

  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 occur.

  6. Space (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Space_(mathematics)

    Before the golden age of geometry Fig. 2: Homothety transforms a geometric figure into a similar one by scaling. In ancient Greek mathematics, "space" was a geometric abstraction of the three-dimensional reality observed in everyday life. About 300 BC, Euclid gave axioms for the properties of space.

  7. 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] The concept of space is considered to be of fundamental importance to an understanding of the physical ...

  8. General relativity - Wikipedia

    en.wikipedia.org/wiki/General_relativity

    General relativity generalizes special relativity and refines Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time or four-dimensional spacetime.

  9. Euclidean space - Wikipedia

    en.wikipedia.org/wiki/Euclidean_space

    Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any positive integer dimension n, which are called Euclidean n-spaces when one wants to specify their dimension. [1] For n equal to one or two, they are ...

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