Re: Relativistic aberration

Den 02.08.2024 22:59, skrev Richard Hachel:

Le 02/08/2024 à 21:49, "Paul.B.Andersen" a écrit :

No. To is a distance.
The distance to the star is usually measured by parallax.
There is no other way to determine To than to set To = -d/c
That you change the unit from ly to y doesn't change the fact
that -To⋅c = √(x² + y² + z²). To is redundant.

 No, To is an abstract time.
It is the time that an observer placed very far away and at an equal distance from A and B would measure between the reciprocal anisochrony of A and B.
This is the time that physicists use to calculate the time taken for light to come from Tau Ceti to us, and they say To=12 years.
But no one on Earth measures this time. It is an abstract time supposedly measured by a distant observer placed at an equal distance between A and B.

Of course nobody on Earth or midway between the Earth and Tau Ceti
has measured the time the light uses from the star to Earth.
What they have measured is the parallax, which is 273.96 mas.
The distance is thus 1000/273.96 pc = 3.65017 pc = 11.905 ly
So obvious for all but you, the light you see in the telescope
left the star 11.905 years ago.
mas  milli-arcsecond
pc   parsec
ly   light year

In reality, in the "plane of present terrestrial time" the sending of the photon and the reception of the phton are simultaneous.
This is what is so difficult for physicists to understand, and it is partly what blocks them in a quantity of reasoning that leads to paradoxes that they no longer know how to resolve.

Stupid astronomers who doesn't understand that the light they
see in the telescope left the star NOW!
You live in a very weird world, Richard! :-D
--
Paul
https://paulba.no/