Re: What was original in Einsteins SR theory ?
- From: "Androcles" <Androcles@ MyPlace.org>
- Date: Tue, 04 Oct 2005 16:23:57 GMT
"Gregory L. Hansen" <glhansen@xxxxxxxxxxxxxxxxxxxxx> wrote in message
news:dhu8p9$g12$1@xxxxxxxxxxxxxxxxxxxxxxxxxxx
| In article <1128407331.040336.266700@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
| blackboab <blackboab@xxxxxxxxx> wrote:
| >the two postulates of SR
| >
| >1. That the speed of light is a constant in all reference frames was
| >actally the work of Maxwell where the quantity c appears as a
constant
| >independent of frame of reference.
| >
| >2. All inertial reference frames are similar was actually the work of
| >Galileo.
| >
| >the gamma correction was the work of Lorentz and Fitgerald
| >
| >Poincare and Fizeau also added ideas
| >
| >what EXACTLY did Einstein add ?
| >
| >what in SR is uniquely Einsteins ?
| >
|
| In earlier work, it was thought that the speed of light is constant in
the
| same way that the speed of a sound wave in air is constant-- it has a
| particular speed through the medium, but it still transforms under
boosts
| as c+v. The gamma factor of Lorentz represented a physical change in
| dimensions of objects moving relative to the aether, and it was not
| theoretically motivated but was just what term was required to remove
a
| dependence of velocity through the aether from electromagnetism while
| preserving the assumption of c+v.
|
| 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.
[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)
Androcles.
.
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