Special theory of relativity through the Doppler effect

@article{Moriconi2006SpecialTO,
  title={Special theory of relativity through the Doppler effect},
  author={M. Moriconi},
  journal={European Journal of Physics},
  year={2006},
  volume={27},
  pages={1409 - 1423}
}
  • M. Moriconi
  • Published 24 May 2006
  • Physics
  • European Journal of Physics
We present the special theory of relativity taking the Doppler effect as the starting point, and derive several of its main effects, such as time dilation, length contraction, addition of velocities and the mass–energy relation, and assuming energy and momentum conservation, we discuss how to introduce the 4-momentum in a natural way. We also use the Doppler effect to explain the ‘twin paradox’, and its version on a cylinder. As a by-product we discuss Bell's spaceship paradox, and the Lorentz… 
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References

SHOWING 1-10 OF 22 REFERENCES
On the twin paradox in a universe with a compact dimension
We consider the twin paradox of special relativity in a universe with a compact spatial dimension. Such topology allows two twin observers to remain inertial yet meet periodically. The paradox is…
Generalized Lorentz transformation for an accelerated, rotating frame of reference
An exact, explicit coordinate transformation between an inertial frame of reference and a frame of reference having an arbitrary time‐dependent, nongravitational acceleration and an arbitrary…
The twin paradox revisited
The twin paradox of special relativity results from failing to recognize the fundamental asymmetry between the two twins: One and only one twin changes direction and thus undergoes acceleration. What…
It's about Time: Understanding Einstein's Relativity
In It's About Time, N. David Mermin asserts that relativity ought to be an important part of everyone's education--after all, it is largely about time, a subject with which all are familiar. The book…
The Twin Paradox in a Closed Universe
TLDR
In the classical twin paradox, one twin, call him Albert, stays at home, while his sister Betty travels at relativistic speed to a nearby star and back, and each calculates that the other should be younger at the reunion.
Classical Electrodynamics
Electrodynamics of Particles and PlasmasBy P. C. Clemmow and J. P. Dougherty. (Addison-Wesley Series in Advanced Physics.) Pp. ix + 457. (Addison-Wesley London, September 1969.) 163s.
Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy
List of papers on quantum philosophy by J. S. Bell Preface Acknowledgements Introduction by Alain Aspect 1. On the problem of hidden variables in quantum mechanics 2. On the Einstein-Rosen-Podolsky…
The Principle of Relativity
A short-circuit protection circuit for use in an arrangement in which a load is connected to a source of electrical power by way of switch, operates to open the switch only when a true short circuit…
Am. J. Phys
  • Am. J. Phys
  • 1990
Relativity and common sense
...
...