Abstract
I WISH to point out a peculiar property of the motion of a particle in the theory of relativity when the initial speed is that of light. The result is valid for both the special and the general theory of relativity, but for simplicity I shall consider here only the former case. We start, then, with the Minkowski formula, ds2 = c2dt2 – dx2 – dy2 – dz2. This vanishes for the motion of a light-pulse. The interval ds is imaginary when the velocity is greater than that of light, and is real when the velocity is less than that of light.
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KASNER, E. Relativity: Particles Starting with the Velocity of Light. Nature 108, 434–435 (1921). https://doi.org/10.1038/108434a0
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DOI: https://doi.org/10.1038/108434a0
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