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arXiv · hep-th/0301153

On the Lorentz Transformations of Momentum and Energy

M. Toller
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Abstract

Motivated by ultra-high-energy cosmic ray physics, we discuss all the possible alternatives to the familiar Lorentz transformations of the momentum and the energy of a particle. Starting from natural physical requirements, we exclude all the possibilities, apart from the ones which arise from the usual four-vector transformations by means of a change of coordinates in the mass-shell. This result confirms the remark, given in a preceding paper, that, in a theory without preferred inertial frames, one can always define a linearly transforming energy parameter to which the GZK cutoff argument can be applied. We also discuss the connections between the conservation and the transformation properties of energy-momentum and the relation between energy-momentum and velocity.

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M. Toller. 2003-02-12. On the Lorentz Transformations of Momentum and Energy. https://doi.org/10.1142/s0217732303012027

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