Re: Einstein cheated with his fraudulent derivation of Lorentz transforms

Am Donnerstag000006, 06.02.2025 um 19:48 schrieb Paul.B.Andersen:

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So the Galilean transform is: ξ = x - vt

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NO, innoble animal! ξ is the name of the horizontal axis in the moving
frame k.

 And x' is a coordinate in k ? :-D
 

ξ(x') = x' in the moving frame. I attached a graphic to clarify this
but, with your "dog vision" you missed it.

 What kind of transform is ξ(x') = x' ?
 Did you possibly mean: ξ = (x - vt)/√(1−v²/c²) ?
 But at this point we don't know this yet, we only know: ξ = ξ(x,y,z,t)
 

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x' = x - vt is the well known Galilean transform, along with τ = t' = t.

 So  τ is a coordinate in k, but ξ is not a coordinate in k,
because the coordinates in k are (x',η,ζ,τ), right?
 This is fun, isn't it?  :-D
 There is only one meaning of x', right?
 

The meaning of x' is uncertain, because Einstein wrote no proper definition.
It is therefore not possible to say, to which system x' belongs and what physical quantity that symbol shall represent.
Actually x' should be a coordinate value belonging to system K, because x is a Latin letter and Latin letters were used for K (Greek letters were coordinates in k).
But what meaning was meant to be encoded into x'  ????
I assume, that x' was meant to be the position of a mirror, because x' should be the place, where a ray of light gets reflected back to its origin in the center of k.
But if x' is a fixed position on the x-axis of K, the subsequent statements wouldn't make sense.
Also the equation  x' = x - vt would be wrong, because in the context of the Galilean transform x' has a certain other meaning, for which Einstein had to use the symbol ξ ('xsi'), because that was his naming convention.
Now it gets tricky, because it is actually impossible to assign the used symbols consistently to one of the two coordinate systems.
It is, of course(!!!), important in relativity, that the relation of any variable to the meant system is always clear without any doubt, but that wasn't the case in Einstein's text.
Better would have been to use an index (and not Greek letters) to make clear, to which system a certain variable belongs.
Also the state of motion (e.g. at rest vs. in motion) needs a sign, which is used consistently (like e.g.  another index or the prime ').
But that was also not the case.
Therefore we cannot say with certainty, how the used symbols were meant and to which system a variable shall belong.
Now we can guess as long as we like and cannot identify, who Einstein actually meant his equations.
But ambiguity is an error in a scientific paper and a serious one!
TH