The Geometry of Special Relativity - a Concise Course by Norbert Dragon

Author:Norbert Dragon
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(3.46)

Also for particles which move with the velocity of light the four-momentum is a multiple of the tangent vector of the world line. For massive and for massless particles the velocity is the ratio

(3.47)

The velocity is a function of the momentum and the momentum is conserved. This is the statement that particles are inert. To change their velocity forces have to transfer momentum.

The vacuum is the same for all observers and therefore has a four-momentum which is invariant under all transformations . Therefore its energy and its momentum must vanish . This also holds for the contribution of the so-called quantum fluctuations to the energy which trouble some theoretical physicists.

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