Re: Incorrect mathematical integration

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.