R�^2 = x�^2 + y^2 + z^2
And
x� = x/Sqrt(1 � [v/c]^2)
It is telling to quote from the �Handbook of Physics� (Section 3,
Chapter 8 - �Acoustics�, Rev 2 1967) on this behavior,
�The surfaces of constant sound pressure on the other hand
are given by R� = constant, which corresponds to the
ellipsoid x'^2 + y^2 + z^2 = constant = R�^2 as pictured
in Fig. 8.2. It is interesting to note that the field is
the same up and down wind and that the intensity is
larger in the directions at right angles to the flow.�
In other words, the Lorentz contraction is the 'natural' behavior of
moving fields in any physical medium. Given aether theory is such
the theory PREDICTS! exactly the behavior observed, given that in
that theory light is the acoustical behavior of the medium.
See also:
http://www.wbabin.net/physics/rothenstein19.pdf
http://arxiv.org/ftp/physics/papers/0411/0411202.pdf
http://arxiv.org/PS_cache/gr-qc/pdf/0111/0111111v1.pdf
This means Lorentz got it right when he suggested all fields,
including
those constituting matter contracted in such a fashion. It is now
proven not to be ad hoc at all. What does this mean? Nothing, except
that SR can now be shown to be based on a known physical phenomena.
It means, that like the epicycles of Ptolemy�s theory, the
metaphysical philosophy of SR, a.k.a. the principle of relativity, can
be demonstrated to be based upon the the properties of a medium.
Unfortunately, the concept of rotations are no longer be necessary
and proves Lorentz's 1904 version was after all, the correct
explanation of the phenomena.
Hi, if anyone is interested (this post appears to have been DOA) this
paper is relevant to proving this claim,