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From: hitlong@yahoo.com (gharnagel)
Newsgroups: sci.physics.relativity
Subject: Re: Paper Series: Shift-symmetry in =?UTF-8?B?RWluc3RlaW7igJlzIFVuaXZl?=
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Date: Mon, 15 Jul 2024 02:10:50 +0000
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On Sun, 14 Jul 2024 20:35:51 +0000, Ross Finlayson wrote:
>
> On 07/14/2024 12:46 PM, gharnagel wrote:
> >
> > On Sun, 14 Jul 2024 15:03:06 +0000, Richard Hachel wrote:
> > >
> > > Le 14/07/2024 à 00:08, hitlong@yahoo.com (gharnagel) a écrit :
> > > >
> > > > the tachyon was traveling backward in time
> > >
> > >  On n'est plus à ça près.
> > >
> > >  R.H.
> >
> > It was inferred from the LTE:
> >
> > t' = gamma(t - uv/c^2)
> >
> > For uv > c^2, t' becomes negative, so it IS près ... mais
> > pas de cigare.  Presuming that energy becomes negative under
> > those conditions is a canard because
> >
> > E' = mc^2/sqrt(u'^2/c^2)
> >
> > NEVER becomes negative for ANY -infinity < u' < infinity.
> > As I've already pointed out.  Did you follow that?
>
> How about where it's just zero in the middle from either side?
>
> Potentials, ....

In the four-momentum formalism, E goes smoothly from positive,
through zero to negative.  Time in the primed frame also goes
smoothly from positive, through zero to negative as uv goes
smoothly from positive, through zero to negative.  But u' does
NOT go smoothly since the t' = gamma(t - uv/c^2) is in the
demominator!  As uv/c^2 goes from positive and approaches zero,
u' approaches infinity, and as uv/c^2 approaches negative numbers,
u' becomes MINUS infinity:  It is discontinuous!  Generation of
infinities is the standard by which an equation has been judged
to reach the limit of its domain.  If velocities have reached
the limit, how can one argue that t' or E' have not their limits?