4. Stephen J. Crothers, Special relativity and the Lorentz sphere

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Volume 33: Pages 15-22, 2020

 

Special relativity and the Lorentz sphere

 

Stephen J. Crothersa)

 

PO Box 1546, Sunshine Plaza 4558, Queensland, Australia

 

The special theory of relativity demands, by Einstein’s two postulates (i) the principle of relativity and (ii) the constancy of the speed of light in vacuum, that a spherical wave of light in one inertial system transforms, via the Lorentz transformation, into a spherical wave of light (the Lorentz sphere) in another inertial system when the systems are in constant relative rectilinear motion. However, the Lorentz transformation in fact transforms a spherical wave of light into a translated ellipsoidal wave of light even though the speed of light in vacuum is invariant. The special theory of relativity is logically inconsistent and therefore invalid.

 

La théorie de la relativité restreinte exige, d'après les deux postulats d'Einstein (i) le principe de relativité et (ii) la constance de la vitesse de la lumière dans le vide, qu'une onde sphérique de lumière dans un système inertiel transforme, via la transformation de Lorentz, en une onde sphérique de lumière (la sphère de Lorentz) dans un autre système inertiel, lorsque les systèmes sont en mouvement rectiligne relatif constant. Cependant, la transformation de Lorentz transforme en fait une onde de lumière sphérique en une onde de lumière ellipsoïdale déplacé, même si la vitesse de la lumière dans le vide est invariante. La théorie de la relativité restreinte est logiquement incohérente et donc invalide.

 

Key words: Lorentz Transformation; Special Relativity; Principle of Relativity; Invariant Speed of Light.

 

Received November 12, 2019; Accepted: December 5, 2019; Published Online: January 8, 2020

 

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