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From: hitlong@yahoo.com (gharnagel)
Newsgroups: sci.physics.relativity
Subject: Re: The problem of relativistic synchronisation
Date: Sat, 24 Aug 2024 13:28:11 +0000
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On Sat, 24 Aug 2024 11:28:28 +0000, Richard Hachel wrote:
>
> Le 24/08/2024 à 04:26, hitlong@yahoo.com (gharnagel) a écrit :
> >
> > Richard Hachel wrote:
> > >
> > > We will not be able to always remain in Minkowskian belief, the
> > > absurdity will fall.
> > >
> > > R.H.
> >
> > Perhaps, but Minkowski spacetime will remain an approximation to
> > reality.
>
> Absolutely not.

Absolutely so, just like Newtonian physics is an approximation to
reality, just as SR is an approximation to reality, just as GR is.

> When we see the stupidity and deformity of this interpretation of
> Poincaré's equations, there will not be enough left to fill the shard of
> a bottle.
> I recall the terrible deformities of Minkowskian relativity in the face
> of what Dr. Hachel says, if we take for example the example of Hachel's
> Tau Ceti traveler (we send a rocket with an acceleration of 10m/s² to
> Tau Ceti to travel the 12 light years that separate us from the star),
> we have in Minkowski mode a proper time of about 3.5 years, against
> 4,776 years in Hachel.

That has nothing to do with Minkowski.  It comes from SR whole cloth.

https://en.wikipedia.org/wiki/Space_travel_under_constant_acceleration#:~:text=The%20distance%20traveled%2C%20under%20constant%20proper%20acceleration%2C%20from,9%5D%20where%20c%20is%20the%20speed%20of%20light.

That is, it comes from the LT equations applied to the problem.
I must regretfully inform you that your calculation is incorrect.