Position Four-Vector
The contravariant four-vector arising in special and general relativity,
![画像: x^mu=[x^0; x^1; x^2; x^3]=[ct; x; y; z],](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/PositionFour-Vector/NumberedEquation1.svg){kind=link}
where c is the speed of light and t is time. Multiplication of two four-vectors gives the spacetime interval
I = g_(munu)x^mux^nu
(2)
= (x^0)^2-(x^1)^2-(x^2)^2-(x^3)^2
(3)
= (ct)^2-(x^1)^2-(x^2)^2-(x^3)^2.
(4)
See also
Four-Vector, Lorentz Transformation, QuaternionExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Position Four-Vector." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PositionFour-Vector.html