Seven derivations of the Lorentz transformations in Special Relativity are seen to be invalid

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McKelvie, James (2024) Seven derivations of the Lorentz transformations in Special Relativity are seen to be invalid. Journal of Physics & Optics Sciences, 6 (7). pp. 1-5. ISSN 2754-4753 (https://doi.org/10.47363/JPSOS/2024(6)276)

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Abstract

Lorentz introduced his transformations as mere proposals for the relations between the E and H fields of light as measured in two reference systems in relative motion [1]. He proffered no argument to justify them. Others have subsequently given their own arguments to derive them, particularly in the context of Special Relativity. Seven derivations of the Lorentz transformations (LT's) are examined in detail. It is seen that all of them are invalid. The Appendix discusses the matter of equations and transformations. It is seen that a transformation is of necessity an inequality.

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