Re: [SR] The traveler of Tau Ceti

Den 19.03.2024 21:29, skrev Richard Hachel:

Le 19/03/2024 à 20:44, "Paul B. Andersen" a écrit :
 

You have in another posting said that the traveller's clock
would show  τ = √(2⋅d/a) = 4.7764 y ,

 That's actually what I said.
 

and the speed relative to
Tau Ceti would be Vr = a⋅t = 5.0279 ly/y when she passes the star.

 Absolutely.

Since it is experimentally confirmed that the speed relative
to the star never can exceed c, the theory you have used
to arrive at these predictions is obviously falsified.

 I beg you to understand something...
 When I talk in Vr notation, I'm talking about real speeds (which can take any value).
You are talking about speeds observable in a frame of reference which is not that of the mobile, but that of the observer, and therefore you are talking about Vo.
It is very obvious, and I have never said the opposite in 40 years of explanations that I wanted to be consistent, that Vo could be greater than c.
It’s YOU who made me say it.
I never said that.
I implore you to show a little more humility when responding to me. To say "Doctor Hachel, you are an idiot, you don't know that we cannot exceed c", is to be both very extravagant, and above all very unhumble.
 I would not allow myself to make such a stupid and humiliating remark to you.
 

Consider an inertial observer in space.
She has instruments like clocks and telescopes and computers,
so she can measure the speed of a passing rocket relative
to herself.
Please don't say that this in principle is impossible in the real world.
Eleven such observers (O_0 ..O_10) are stationary relative to each
other, and are arranged along a straight line with 1 light year
between them.
A rocket which is accelerating at the constant proper acceleration
a = 1 c per year is instantly at rest relative to O_0.
The rocket is moving along a line parallel to the line of observers.
c = 1 light year per year.
Please show what you think the observers O_1 to O_10 would
measure the speed of the rocket to be relative to themselves.
--
Paul
https://paulba.no/