Seven Derivations of the Lorentz Transformations in Special Relativity are Seen to be Invalid

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.