Re: Respectable Physicist Pontificates in the Dark
From: Eugene Shubert (GalileoProject002_at_everythingimportant.org)
Date: 10/28/04
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Date: 28 Oct 2004 05:39:20 -0700
Tom Roberts <tjroberts@lucent.com> wrote
http://groups.google.com/groups?&selm=clmgnh$m8u@netnews.proxy.lucent.com
> Eugene Shubert wrote:
> > The assumption that you refer to (page 2), the principle called
>> change of variables, [...]
>
> So change variables using any other functions, and get equally well
> supported results.
Does that concept trouble you?
> > Why should anyone believe in the substitution v/c = tanh(theta),
> > which transforms the usual Lorentz transformation to its hyperbolic
> > form?
>
> Because that is not an ASSUMPTION, it is a CONCLUSION.
There are plenty of derivations of the Lorentz Transformation
equations that don't define theta. Take Einstein's tortured derivation
for example (Dover, The Principle of Relativity). And try to find any
mathematician who isn't going to laugh at you. If theta isn't defined
anywhere in a derivation, then you are perfectly free to let theta be
anything that pleases you at any step in a derivation. And even if a
simple substitution/transformation doesn't please some physicists,
it still has every mathematical right to exist.
There is no physical assumption in the mathematical substitution
u=v/sqrt(1 –v^2/c^2).
Eugene Shubert
http://www.everythingimportant.org/relativity/special.pdf
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