Re: velocity of light.
From: Robert B. Winn (rbwinn3_at_juno.com)
Date: 09/09/04
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Date: 8 Sep 2004 17:51:07 -0700
The Ghost In The Machine <ewill@aurigae.athghost7038suus.net> wrote in message news:<k14112-o4i.ln1@lexi2.athghost7038suus.net>...
> In sci.physics.relativity, Robert B. Winn
> <rbwinn3@juno.com>
> wrote
> on 6 Sep 2004 20:43:59 -0700
> <a17e5e0e.0409061943.3747e060@posting.google.com>:
> > "Dirk Van de moortel" <dirkvandemoortel@ThankS-NO-SperM.hotmail.com> wrote in message news:<1L1%c.238423$%i1.12214297@phobos.telenet-ops.be>...
> >> "The Ghost In The Machine" <ewill@aurigae.athghost7038suus.net> wrote in message news:ljju02-vbg.ln1@lexi2.athghost7038suus.net...
> >> > In sci.physics.relativity, Robert B. Winn
> >> > <rbwinn3@juno.com>
> >>
> >> [snip]
> >>
> >> > > Take two sets of Cartesian coordinates and see if I am wrong.
> >> > > With regard to K and K', a photon traveling on the x axis either has a
> >> > > velocity of c or a velocity of -c relative to K and K'.
> >> > > Robert B. Winn
> >> >
> >> >
> >> > Well, you're right regarding the photons, but wrong regarding the
> >> > transform. If one takes the equation of a photon:
> >>
> >> [snip]
> >>
> >> > and therefore x' = ct' as well. The Lorentz Transformation
> >> > works, mathematically.
> >>
> >> You probably have no idea how many times this has been explained
> >> to this worm :-)
> >>
> >> Dirk Vdm
> >
> > x'=ct' works for a photon going in the +x direction. But if a photon
> > is emitted at the origin of K' and is going in the -x direction, what
> > is x' going to be, x'=ct' or x'=-ct'? It seems to me that if the
> > Michelson-Morley experiment is a bunch of mirrors changing the
> > direction of photons, then the same principle applies.
> > Robert B. Winn
>
> Change +c to -c and the Lorentz still works.
If w is the velocity of light, then if a photon is going in the +x
direction w=c. If a photon is going in the -x direction w=-c. So we
can say
w = x/t = x'/t' = (x-vt)/(t-vt/w)
The Lorentz equations are a special case of this where
w= (x-vt)/(t-vwt/w^2) =
(x-vt)gamma/(t-vx/c^2)gamma
introducing the distance contraction and other effects so vital to the
science of our time.
The two little equations extracted by Einstein from the Lorentz
equations cannot be used to reduce the Lorentz equations further
because they are only true in the special case of a photon traveling
in the +x direction.
x=ct
x'=ct'
Consequently, if you put x=ct back into the Lorentz equation for t',
t'=(t-vx/c^2)gamma = (t-vt/c)gamma
this will only be true for a photon traveling in the +x direction.
For a photon traveling in the -x direction, the equation reduces to
(t-vt/-c)gamma
because the equation is using velocity of light, not speed of light.
Robert B. winn
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