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Special relativity via mechanics

W. G. V. Rosser

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Abstract

It is illustrated how relativistic mechanics can be developed from experiments without introducing the Lorentz transformations. From the experimental result that the limiting speed of accelerated electrons is the speed of light, it is postulated that the numerical value of the limiting speed of accelerated particles has the same numerical value in all inertial reference frames. Together with the principle of relativity this postulate can be used to develop the Lorentz transformations.

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What this paper is about

It is illustrated how relativistic mechanics can be developed from experiments without introducing the Lorentz transformations. From the experimental result that the limiting speed of accelerated electrons is the speed of light, it is postulated that the numerical value of the limiting speed of accelerated particles has the same numerical value in all inertial reference frames. Together with the principle of relativity this postulate can be used to develop the Lorentz transformations.

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Available abstract

It is illustrated how relativistic mechanics can be developed from experiments without introducing the Lorentz transformations. From the experimental result that the limiting speed of accelerated electrons is the speed of light, it is postulated that the numerical value of the limiting speed of accelerated particles has the same numerical value in all inertial reference frames. Together with the principle of relativity this postulate can be used to develop the Lorentz transformations.

Key concepts: One-way speed of light, Inertial frame of reference, Special relativity, Theory of relativity, Limiting, Classical mechanics, Lorentz transformation, Relativistic mechanics

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