four-vector

created by 90% fat free
(idea) by 90% fat free (6.1 y) (print)   (I like it!) 1 C! Thu Mar 22 2001 at 16:42:42
The Special Theory of Relativity encourages one to think of space and time as being different labels for coordinates in a single entity called spacetime. As such, instead of using x (three dimensional) and t (one dimensional) in equations, treat the two together as a single object xμ=(t,x)T (four dimensional): this is called a four-vector.
Four vectors extend to covering other things besides space and time: they can represent any quantity which transforms in the correct way between different frames of referrence (ie. by Lorentz Transformations: x' μμνxν). Such possible quantities arise from pairs of (three) vectorial and scalar quantities, eg: Four-vectors and their associated higher order tensors are conventionally written down using the abstract index notation.
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