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Subject: Incorrect mathematical integration
Newsgroups: sci.physics.relativity
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Date: Fri, 19 Jul 24 19:51:32 +0000
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From: Richard Hachel <r.hachel@wanadou.fr>
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I once explained to a speaker that additions of relativistic speeds were 
not done in a common way, and that for example 0.5c+0.5c did not make c.

This Internet user refused to believe me.

For what? Because it is very difficult to give water to a donkey who is 
not thirsty, and who categorically refuses to understand or discuss.

I think that this makes most of the speakers smile, because they know A 
LITTLE realtivity, and if they do not necessarily know the general formula 
for adding relativistic speeds, they at least know the longitudinal 
formula that is w=(v +u)/(1+v.u/c²) or here w=0.8c.

But we must go further. Physicists don't make this kind of mistake, but 
they do make others. I told Paul B. Andersen that his magnificent 
integration formula

<http://news2.nemoweb.net/jntp?EKV4LWfwyF4mvRIpW8X1iiirzQk@jntp/Data.Media:1>

was incorrect PHYSICALLY even though mathematically it was obviously 
perfect.

Paul doesn't want to believe me. This confuses him.

However he is wrong and I pointed out to him that if we could integrate 
all the proper times, to obtain the sum of the total proper time, we could 
not do it with improper times, the sum of which segment by segment was 
greater than the total evolution.

A bit like realtivist speed additions where the sum is not equal to the 
common, mathematical sum.

Paul doesn't want to believe me, because he wasn't taught that way, and he 
complains about me.

Why doesn't he complain about those who taught him incorrectly?

R.H.