2005European Journal of PhysicsOpen access

From E = mc 2 to the Lorentz transformations via the law of addition of relativistic velocities

C. Criado, N. Alamo

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Abstract

In this paper, we show how to get the Lorentz transformations from E = mc 2 , the laws of conservation of energy and momentum, and the special relativity principle. To this end, we first deduce the law of addition of relativistic velocities.

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In this paper, we show how to get the Lorentz transformations from E = mc 2 , the laws of conservation of energy and momentum, and the special relativity principle. To this end, we first deduce the law of addition of relativistic velocities.

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Available abstract

In this paper, we show how to get the Lorentz transformations from E = mc 2 , the laws of conservation of energy and momentum, and the special relativity principle. To this end, we first deduce the law of addition of relativistic velocities.

Key concepts: Physics, Lorentz transformation, Energy–momentum relation, Lorentz factor, Four-momentum, Special relativity, One-way speed of light, Conservation law

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