Relativity and Cosmology

   

Violation of Conservation of Momentum by Lorentz Transformation

Authors: Eric Su

An isolated physical system of elastic collision between two identical objects is chosen to verify the conservation of momentum in two inertial reference frames. In the first reference frame, the center of mass (COM) is stationary. In the second reference frame, the center of mass moves at a constant velocity. By applying Lorentz transformation to the velocities of both objects, total momentum before and during the collision in the second reference frame can be compared. The comparison shows that conservation of momentum fails to hold when both objects move together at the same velocity.

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Submission history

[v1] 2019-03-21 23:24:17
[v2] 2019-03-23 14:55:13

Unique-IP document downloads: 16 times

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