Re: What was original in Einsteins SR theory ?



In article <x0y0f.53365$VI6.9132@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Androcles <Androcles@ MyPlace.org> wrote:
>
>"Gregory L. Hansen" <glhansen@xxxxxxxxxxxxxxxxxxxxx> wrote in message
>news:dhu8p9$g12$1@xxxxxxxxxxxxxxxxxxxxxxxxxxx
>| In article <1128407331.040336.266700@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
>| blackboab <blackboab@xxxxxxxxx> wrote:

>| Related to the assumption of c'=c+v, Maxwell's equations as given in
>the
>| textbooks would be for the rest frame of the aether. Under a boost
>they
>| would pick up velocity-dependent terms. The assumption was basically
>that
>| Newton's mechanics were correct, and electromagnetism had to be fixed
>up.
>
>Which is simple to do:
>
>c = 1/sqrt(epsilon * mu)
>
>The permittivity and permeability of space is zero,
>c = 1/sqrt(0*0) is undefined.
>
>The permittivity and permeability of aether defined the speed of light
>in aether.

That doesn't seem to address the transformation properties of Maxwell's
equations. E.g. for an electromagnetic wave moving with velocity v
relative to the aether,

(del^2 -1/c^2 d^2/dt^2

-2/c^2 v dot del d/dt - 1/c^2 v dot del v dot del) E = 0

The terms on the second line are velocity-dependent and don't appear in
the standard theory.

>
>
>[snip crap]
>
>| If the Lorentz
>| transformations were not universal, it could have been the case, e.g.,
>| that particle decays mediated by the electromagnetic force would go as
>| t'=t/sqrt(1-v^2/c^2)
>
>Idiot:
>t' = (t-vx/c^2)/sqrt(1-v^2/c^2)
> = (t - v (vt)/c^2) / sqrt(1-v^2/c^2)
> = t (1 - v^2/c^2) / sqrt(1-v^2/c^2)
> = t * sqrt(1-v^2/c^2)

By your triumphant insult you seem to think you've proven something
astonishing. But it looks to me that instead of finding a relation
between elapsed times for a particle stationary in the unprimed frame and
moving in the primed, as is usually done, you've found a relation for a
particle stationary in the primed and moving in the unprimed frame. What
am I missing?

--
"When the fool walks through the street, in his lack of understanding he
calls everything foolish." -- Ecclesiastes 10:3, New American Bible
.



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