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Subject: Re: Incorrect mathematical integration
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Date: Mon, 22 Jul 24 21:37:40 +0000
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From: Richard Hachel <r.hachel@wanadou.fr>
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Le 22/07/2024 à 21:34, "Paul.B.Andersen" a écrit :
> Den 21.07.2024 23:06, skrev Richard Hachel:
> 
> Let's look at the LHC again.
> 
> The length of the circuit is L = 27 k, γ = 7460

 L=27 km

 γ = 7460

 I admit it. 

> The real speed of the proton in the lab frame is
> v = 0.999999991·c

 Vo=0.999999991c

 Vr=Vo/sqrt(1-Vo²/c²)  anosochronic lure, Vr=7453.56c

 Vo=Vr/sqrt(1+Vr²/c²)=0.999999991c

> 
> The real time measured in the lab frame for the proton to go
> around the circuit is
>   T = L/v ≈ 90 μs

 Absolutely.
> 
> The proper time of a proton to go around the circuit is
>   τ = T/γ ≈ 12 ns

 That's what I say. 
 
> "proper speed" = L/τ = 6947c

 Yes.

> This "speed" is not the speed of a proton or anything else.

 It is. 

 Calculate p=mVr and E=mc².sqrt(1+Vr²/c²)

> The proton is moving at the speed 0.999999991·c relative to the lab,
> and the lab is moving at the speed 0.999999991·c relative to the proton.

 That what I say. 

 There is nothing illogical or abnormal there.

> And you thought that the real speed speed of the proton in the lab frame
> was 6947c and therefore you "tell them [the physicists at CERN]  that
> the proton rotates 78 million times per second".
> 
> Which is 6933 times the real number,  ≈ 11.25 thousand times per second.

But no!

We can't say that if a proton spins once, it spins thousands of times, 
that's stupid.
No one will ever tell you that.

R.H.