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From: "Paul.B.Andersen" <relativity@paulba.no>
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Subject: =?UTF-8?Q?Re=3A_I_dare_to_relativists_to_explain_local_time=3A_t-vx?=
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Date: Sat, 5 Oct 2024 22:11:32 +0200
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Den 05.10.2024 19:32, skrev rhertz:
> Explain this:
> 
> 1905 EINSTEIN'S MODIFIED LORENTZ TRANSFORMS
> t' = γ (t - vx/c²)
> x' = γ (x - vt)
> 
> IF
> 
> v = 11 Km/sec
> x = 400 Km
> 
> γ = 1.00000000067222

  γ = 1.00000000067315 ≈ 1.000000000673

> 
> 
> t' ≈ t - 48.89 nsec

wrong, see below

> 
> 48.89 nanoseconds meaning WHAT?

That your calculation is wrong.


You do know that the Lorentz transform is
a coordinate transformation, or don't you?

If the coordinates of an event are x = 400 km, t = t seconds
in the un-primed frame, then the coordinates  of the event
in the primed frame are:
  t' = (1.00000000067315⋅t - 48.96e-9) second
  x' = (400000.0002692 - 11000.0000074⋅t) meter

Note that t is a number you failed to define.

> 
> 
> 
> Worse yet.

Is anything bad?

> 
> IF x' = 0, then x = vt
> 
> t' = γ (t - vx/c²) = γ (t - v²/c² t) = t/γ

Or generally:
  if x' is constant then dt'/dt = 1/γ
  if x is constant then dt/dt' = 1/γ

A clock which is stationary in a frame of reference will
be measured to run slow in a frame of reference which is
moving relative to the clock.

> 
> t' = 0.999999998655556 t (now t' run slower than t!)

Yes, because the clock is stationary in the primed frame.

See:
https://paulba.no/pdf/Mutual_time_dilation.pdf

> 
> Any explanations about these numerical examples of
> the ridiculous results when applying SR?

There are no ridiculous results.

That Richard Hertz finds SR to be ridiculous doesn't
change the fact that SR is thoroughly experimentally
tested and never is falsified.

Some of the experimental evidence:
https://paulba.no/paper/index.html

That Richard Hertz find SR to be ridiculous does however have
the consequence that he has to claim that all physicist born
after 1900 are frauds and member of a MAFFIA.
If they were not, Richard Hertz would be wrong, which
according to Richard Hertz is impossible.

Hilarious, no? :-D

-- 
Paul

https://paulba.no/