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Re: Annotated version of SRT

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Am 15.05.2022 um 04:29 schrieb JanPB:
>> These two items move with constant distance along the x/xsi-axis into
>> >the direction of higher xsi-values.
>> >
>> >This 'tandem' is observed from the zero spot of K, which moves with
>> >velocity v relative to the system into the negative direction with -v*t.
>> >
>> >But none of Einstein's equations would fit to that setting.
> Again, you are expressing the physical situation in mathematical
> terms that do not represent the physical situation.

WHAT?

The situation is EXTREMELY simple:

You have a coordinate system K and a copy of K set into motion along the 
x-axis of K with velocity v.

Now both systems use the same unit vectors, which point into the same 
directions, but the zero spot of k is set into motion.

It would be an addition of a displacement v*t to the positions of K, 
which would gain equivalent points in k and K (like the zero spot of k).

Now the same points have coordinates in both system, too, but we need 
subtraction for a coordinate transform.

So a point (a, b, c) in K has the coordinates (a- v*t, b, c) in k.

This is totally simple and obvious for slow velocities v (what is the 
realm we could possibly measure).

Now it gets tricky, if the velocity v is getting into the realm of the 
speed of light, but in the slow case the problem is trivial.

>> >Instead of a coordinate transformation he developed an obscure partial
>> >differential equation, which I think is faulty and which I'm unable to
>> >associate with the setting from above.
> It's a very simple equation.  The coordinate transformation is
> presumed linear, so the  tau  component of it is presumed
> to look like this:
>
>      tau(x', y, z, t) = Ax' + By + Cz + Dt

But the actually meant Lorentz transform is not a linear function.

Also: displacement of a coordinate system would make the transformation 
function non-linear, too.

>
> This means that  dtau/dx' = A,  dtau/dy = B,  dtau/dz = C,  dtau/dt = D.
>
>> >I have complained about this point several times, too.
> Without merit.
>
>> >But apparently you know how to derive Einstein's equation. So, please
>> >let me know, how that works.
> It's written out in the paper.  Given the equation  (1/2)*(tau_0 + tau_2) = tau_1,
> one differentiates it wrt  x'  and that yields the equation constraining  the
> A  and  D  constants.

In system k x' is a constant (the difference between emitter and 
mirror), what would forbid the operation you have mentioned, because you 
can differentiate wrt variables only.

TH

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Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-07 07:19 +0200
  Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-07 00:38 -0700
    Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-08 08:22 +0200
      Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-08 12:33 -0700
        Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-10 07:12 +0200
          Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-10 00:19 -0700
            Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-11 07:55 +0200
              Re: Annotated version of SRT Mikko <mikko.levanto@iki.fi> - 2022-05-11 11:25 +0300
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-12 07:39 +0200
                Re: Annotated version of SRT Mikko <mikko.levanto@iki.fi> - 2022-05-12 10:31 +0300
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-12 21:05 +0200
                Re: Annotated version of SRT Mikko <mikko.levanto@iki.fi> - 2022-05-15 11:26 +0300
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-18 07:38 +0200
                Re: Annotated version of SRT Mikko <mikko.levanto@iki.fi> - 2022-05-18 16:42 +0300
              Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-12 11:33 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-12 21:28 +0200
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-13 08:41 +0200
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-14 06:43 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-14 19:49 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-15 08:34 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-15 12:53 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-18 08:01 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-18 10:02 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-20 09:32 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-14 19:29 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-15 08:50 +0200
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-19 08:39 +0200
                Re: Annotated version of SRT Python <python@python.invalid> - 2022-05-19 11:03 +0200
                Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-05-19 06:56 -0700
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-19 02:05 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-20 09:17 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-05-20 15:10 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-21 08:38 +0200
                Re: Annotated version of SRT Python <python@python.invalid> - 2022-05-21 18:41 +0200
                Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-05-21 11:51 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-05-22 07:29 +0200
                Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-05-21 23:10 -0700
                Re: Annotated version of SRT "Paul B. Andersen" <paul.b.andersen@paulba.no> - 2022-05-19 20:00 +0200

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