Re: [SR] The traveler of Tau Ceti

Den 19.03.2024 21:41, skrev Richard Hachel:

 The acceleration of the rocket is a in the rocket's frame of reference, and it will always be the same as the rocket progresses.
Breathe, breathe out, breathe...
It's so obvious that I wonder how you can argue with it.
Imagine your rocket at rest in a frame of reference Vo=0.6c, and another at rest in a frame of reference Vo=0.8c, accelerate the two rockets according to a=10m/s².
There is NO difference. There is no absolute reference.
It comes from this that whatever the instantaneous speed of the rocket, it is at rest in this frame of reference whatever the speed reached.
Always, and for itself, it will accelerate with a constant acceleration in the frame of reference where it will be found.
It is only for the terrestrial observer that the acceleration will be relative and that the rocket will appear to accelerate less and less quickly (it will never exceed Vo=c).
 

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/