Abstract
In special relativity the criterion of Lorentz invariance is there to establish the veracity or otherwise of any proposal, or in other words, a good proposition in special relativity must satisfy the criterion of Lorentz invariance, and this is a nontrivial constraint. In this chapter we examine the Lorentz invariances of the basic equations themselves and the associated Lorentz invariances implicit in the previously derived exact wave-like solution. We have previously stated that a Lorentz invariant quantity is one that assumes an identical form under a Lorentz transformation, and we establish here that the general force equations (3.4) are fully Lorentz invariant. However, this does not imply that all aspects of the solutions of (3.4) are Lorentz invariant, and there will be solutions that are not fully Lorentz invariant, and the exact wave-like solution provides an example.
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Hill, J. (2022). Lorentz and Other Invariances. In: Mathematics of Particle-Wave Mechanical Systems. Springer, Cham. https://doi.org/10.1007/978-3-031-19793-2_7
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DOI: https://doi.org/10.1007/978-3-031-19793-2_7
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