Stephen,
this is an highly interesting article, maybe revolutionary. I have a question and a comment.
1. Obviously there is a length contraction in xi direction, when v is in direction of +xi, but there is a length expansion in negative xi direction at the same time. This should make a big difference in observation, when, in the moving system k, a length is measured in backward direction. Is ths true?
2. The theory of relativity would be consistent, if tau in eqs. (6) and (7) were identical. Replacing c by c*q with an adjustable factor q then gives:
and
Equating both expressions gives a quadratic equation for q with solutions:
or, when the sign of v is changed:
I assume that the factor q is identical with the inverse of n in your calculation. For q=v/c we obtain tau=0, but for q=v/(2c) I obtain a complex-valued tau.
Nevertheless there is an the interesting point. Myron Evans had shown in UFT papers 324/325 that the deflection of light by gravitation can simply be explained by a gamma factor of
gamma = 1/sqrt(1 – v^2/(2 c^2)).
This gives gamma=sqrt(2) for v –> c. Thus it is possible that a photon has a mass despite of travelling with speed of light. This result may point into the direction of you findings.
Horst
Am 03.11.2019 um 10:59 schrieb Steve Crothers:
Crothers, S.J., Special Relativity and the Lorentz Sphere, http://vixra.org/pdf/1911.0013v1.pdf
ABSTRACT. 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.
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