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Time Dilation

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Abstract

Body proper time is introduced. We consider a moving light-mirror relativistic clock that measures time dilation by scoring the increased optical path normal to moving mirrors. Time dilation can be observed by clocks placed on planes and satellites. Time dilation of a fast particle, the muon, created and decaying in space is introduced and muon travel range discussed. Tachyons are described.

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Notes

  1. 1.

    B. Rossi and D.B. Hall, “Variation of the Rate of Decay of Mesotrons with Momentum,” Phys. Rev. 59, 223 (1941) (note: mesotrons = muons today).

  2. 2.

    Greek: \(\tau\alpha\chi \upsilon\varsigma\) (tachys), meaning “swift, quick, fast, rapid”.

  3. 3.

    G. Feinberg, “Possibility of Faster-Than-Light Particles” Physical Review 159, 1089 (1967).

  4. 4.

    P.W. Higgs, “Broken symmetries and the masses of gauge bosons,” Phys. Rev. Lett. 13, 508 (1964).

  5. 5.

    O.M.P. Bilaniuk, E.C.G. Sudarshan, “Particles Beyond the Light Barrier,” Physics Today 43(5) (1969), among their insights we read: “Proper mass of a superluminal particle is not an observable physical quantity; it is a parameter devoid of any immediate physical significance.”

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Rafelski, J. (2017). Time Dilation. In: Relativity Matters. Springer, Cham. https://doi.org/10.1007/978-3-319-51231-0_4

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