Relativity and Cosmology


Conservation of Momentum vs Lorentz Transformation

Authors: Eric Su

An isolated physical system of gravitational force between two identical particles is chosen to manifest the physics law, conservation of momentum, in a random inertial reference frame under Lorentz Transformation. In this random reference frame, the center of mass moves at a constant velocity. By applying Lorentz transformation to the velocities of both particles, total momentum in this random inertial reference frame can be calculated and is expected to remain constant as gravitational force accelerate both particles toward each other. The calculation shows that conservation of momentum fails to hold under Lorentz Transformation.

Comments: 3 Pages.

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Submission history

[v1] 2018-02-23 00:22:26

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