The Four-acceleration reference article from the English Wikipedia on 24-Apr-2004
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Four-acceleration

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In special relativity, four-acceleration is a four-vector. The four-acceleration of the four-vector a is defined as the change in four-velocity over the particle's own time:

The scalar product of a four-velocity and the corresponding four-acceleration is always 0.

See also: four-vector, four-velocity, four-momentum, four-force.