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- Eight-dimensional_space abstract "In physics and mathematics, a sequence of n real numbers can also be understood as a location in n-dimensional space. When n = 8, the set of all such locations is called 8-dimensional Euclidean space. Eight-dimensional elliptical spaces and hyperbolic spaces are also studied, with constant positive and negative curvature.Whether the real universe in which we live is somehow eight-dimensional is a topic that is debated and explored in several branches of physics, including astrophysics and particle physics. For example, the biquaternion algebra, which is based on C4, a four-dimensional space over the field of complex numbers, can be used to represent to the theory of special relativity.Eight-dimensional Euclidean space is generated by considering all real 8-tuples as 8-vectors in this space. As such it has the properties of all Euclidean spaces, so it is linear, it has a metric and a full set of vector operations. The dot product between two 8-vectors is readily defined, and can be used to calculate the metric. 8 × 8 matrices can be used to describe transformations such as rotations which keep the origin fixed.Three-dimensional space is the space we live in, the fourth dimension can be interpreted as spacetime a model for the universe used in special relativity and general relativity. The sixth dimension is not commonly used for modelling our universe, but in most string theories, six dimensions have curled up below the Planck length, making them unobservable. In M-theory, an extra dimension is added, making seven extra dimensions. In superspace, there are eight dimensions, four of ordinary spacetime and the other four of "superspace".".
- Eight-dimensional_space thumbnail 8-simplex_t0.svg?width=300.
- Eight-dimensional_space wikiPageExternalLink on-quaternions-and-octonions.
- Eight-dimensional_space wikiPageExternalLink kiss.html.
- Eight-dimensional_space wikiPageExternalLink productCd-0471010030.html.
- Eight-dimensional_space wikiPageID "25555117".
- Eight-dimensional_space wikiPageRevisionID "602921187".
- Eight-dimensional_space hasPhotoCollection Eight-dimensional_space.
- Eight-dimensional_space subject Category:Dimension.
- Eight-dimensional_space subject Category:Multi-dimensional_geometry.
- Eight-dimensional_space comment "In physics and mathematics, a sequence of n real numbers can also be understood as a location in n-dimensional space. When n = 8, the set of all such locations is called 8-dimensional Euclidean space.".
- Eight-dimensional_space label "Eight-dimensional space".
- Eight-dimensional_space sameAs m.09rvv3p.
- Eight-dimensional_space sameAs Q10853884.
- Eight-dimensional_space sameAs Q10853884.
- Eight-dimensional_space wasDerivedFrom Eight-dimensional_space?oldid=602921187.
- Eight-dimensional_space depiction 8-simplex_t0.svg.
- Eight-dimensional_space isPrimaryTopicOf Eight-dimensional_space.
