Authors: Eric Su
An isolated physical system of elastic collision between two identical charged 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 during the collision in this random inertial reference frame can be calculated and is expected to remain constant. The calculation shows that conservation of momentum fails to hold under Lorentz Transformation.
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