# The wave equation in the birth of spacetime symmetries

@article{Heras2014TheWE, title={The wave equation in the birth of spacetime symmetries}, author={Ricardo Heras}, journal={arXiv: History and Philosophy of Physics}, year={2014} }

In 1887 Voigt published a paper dedicated to the Doppler effect in which he demanded form invariance to the wave equation in inertial frames and obtained a set of spacetime transformations now known as the Voigt transformations. In 1905 Poincar\'e showed that the wave equation was also invariant under the Lorentz transformations. Voigt and Lorentz transformations are then closely related, but this relation is not widely known in the standard literature. In this paper we derive the Lorentz… CONTINUE READING

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