Re: Einstein's Mistakes

Le 27/10/2024 à 19:53, "Paul.B.Andersen" a écrit :

The point is obviously:
What is the meaning of the word "horizontal" in the context:
"with horizontal hyperplanes, as logic would require."
 Why do logic require that hyperplanes must be "horizontal" as opposed
to "vertical"?
 Paul

Paul! Paul! Please!!!
It is perfectly normal, perfectly legitimate and completely scientific to propose, for a given individual, a representation of the space-time that is his.
This has four dimensions. Three of space, and one of time.
Paul! Paul! Once again, I beg you to believe me, it is as simple as that.
To do this, we need x,y,z,t.
However, if we want to represent this on paper or a 2D screen, we cannot do it. Eventually, a good graphic designer, by trompe l'oeil, can represent 3D.
But in any case, we can position ourselves in the direction of movement (we then neglect y=0 and z=0).
We then set a perfectly orthonormal frame (kindergarten level in France (3-6 years old).
The spaces are defined on the abscissa, the proper times on the ordinates.
It's as simple as that.
A very good example of a relativistic frame as physicists should represent them, with x on the abscissa and tau on the ordinate, is the one I put on usenet.
We see Stella, aged six, sending a message to Terrence who remained on earth, and waiting for the answer.
We see that the answer cannot reach her before she has turned around, and that she will receive this answer on the way back. She is then aged 14.
<http://nemoweb.net/jntp?aqIpgJwGSD1FKo5aS4ZmjrkuuVg@jntp/Data.Media:1>
Now you tell me: why the times in vertical and the distances in horizontal?
I don't want to answer this kind of stupid questions.
R.H.