On Sunday, October 1, 2023 at 8:20:35 AM UTC-6, Gary Harnagel wrote:
On Friday, September 29, 2023 at 9:04:45 AM UTC-6, Richard Hachel wrote:
The Traveler of Tau Ceti.
Those who post regularly on the usenet physics forums are familiar with this problem, which I imagined many years ago.
The terms are very simple and very precise.
We are going to send into space, thanks to new technologies,
a rocket with a single traveler on board which will leave in accelerated mode towards Tau Ceti (12 al).
The acceleration is constant and about 10 meters per second per second to obtain artificial gravity. .
We set a=1.052m/s²
We will then line the route with thirteen fixed clocks, each one a light year apart from the other.
Before departure, we bring in two good specialists in theoretical relativistic physics and we ask them the question about the duration of the trip.
Paul B. Andersen, it seems, proposed the equation: To=(x/c).sqrt(1+2c²/ax) and predicted a journey (in terrestrial time) of 12,915 years.
Doctor Hachel proposes the same equation, and the same temporal prediction.
It is on proper tenses that we no longer agree.
By mutual agreement, Paul B. Andersen and Richard Hachel then proposed baby steps.
You have to go slowly, to avoid any error of concept or mathematical correspondence.
The first question is therefore how to synchronize the thirteen watches to obtain the instant of passage of the rocket in front of each one.
Who sets the watches? By what process?
It is obvious that their chronotropy will be constant and equal between them (that is to say that they will all beat at the same speed). Even for other observers in motion, if it is true that the chronotropy will differ from its own chronotropy, at least the chronotropy of the watches among themselves will remain identical. However, it is much less obvious that they all mark the same time for all observers of the universe, fixed or in various movements.
Can anyone provide details on how we will initially attempt to tune the thirteen watches?
R.H.
Einstein synchronization is the classical method, but that will take much longer
to synchronize clocks than the actual journey. Of course, positioning the clocks
in the first place will take at least as long as the journey, which will have to be
done first. So fahgettaboutit!
Of course, this is only a thought experiment now, but perhaps we can go to tau ceti
in a century or two. By then we might have practical tachyon physics and can use tachyons to synchronize the clocks (Any particle can be used for synchronization
if we know that its speed doesn't change). We could send out a ship to drop off
satellites a little in front of the ship that checks time dilation. But why would we bother
if we could manipulate tachyons?
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