# Opinions on **Four-momentum**

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In special relativity, **four-momentum** is the generalization of the classical three-dimensional momentum to four-dimensional spacetime. Momentum is a vector in three dimensions; similarly four-momentum is a four-vector in spacetime. The contravariant four-momentum of a particle with three-momentum **p** = (*p*_{x}, *p*_{y}, *p*_{z}) and energy *E* is

The four-momentum is useful in relativistic calculations because it is a Lorentz vector. This means that it is easy to keep track of how it transforms under Lorentz transformations.

The above definition applies under the coordinate convention that *x* = *ct*. Some authors use the convention *x* = *t*, which yields a modified definition with *P* = *E*/*c*. It is also possible to define covariant four-momentum *P*_{μ} where the sign of the energy is reversed.

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