An elementary presentation is given of classical and relativistic collision dynamics based upon the principle of conservation of momentum. The concepts of mass are shown to be implicitly defined and their basic properties are rigorously derived and discussed. Luxons and tachyons are treated on the same footing as material particles.

This paper presents classical and relativistic collision dynamics, defining mass concepts and discussing their basic properties, including luxons and tachyons as material particles.

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The classical and relativistic concepts of mass

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