On Sun, 6 Oct 2024 12:00:55 +0000, ProkaryoticCaspaseHomolog wrote:
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On Sat, 5 Oct 2024 12:59:50 +0000, gharnagel wrote:
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I have not limited the speed D can send the signal in general,
only if a closed loop is required.
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The speed D does not depend on whether somebody is trying to set up
a closed loop.
Funny, I just explained why it does, but you deleted it and made an
unproven assertion.
And I left v a parameter in my equations.
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And why should v determine the physics of frame S'?
It doesn't, of course. The physics of S' is not in question.
The question is about interactions BETWEEN frames.
For example, when a missile is sent after a target, it's speed
must be greater than the target's speed.
The logic of DOI: 10.13189/ujpa.2023.170101 is tighter than you
believe, but not conclusive. I wish that we could get beyond the
trivial things and discuss those.
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No point. I've wasted enough time on this thread.
Then you should go to
https://www.novabbs.com/tech/article-flat.php?id=137457&group=sci.physics.relativity#137457where energy considerations are discussed. I know, you've claimed
that such does not apply to the kinematic discussion we've had here,
but I've pointed out that SR is not limited to the LT and any
conclusions about what can and cannot exist should not be limited
merely to the LT.
You are just like Dono, who also believed himself to be a defender of
SP against the crackpots, yet was blind to defects in his own original
research.
Prok, I'm NOTHING like Dono (except that all three of us are
human beings and that we have different views, some more correct
than others). The FTL extrapolation of SR is
E = mc^2/sqrt(u^2/c^ - 1) for tachyons, where the tachyon mass is
im and u is the tachyon velocity in frame S. The range of u is
-\infty < u < c, c < u \infty. By the Principle of Relativity (PoR),
the tachyon velocity in frame S' is E' = mc^2/sqrt(u'^2/c^2 - 1),
where u' has the same range as u.
When S is related to S' using u' = (u - v)/(1 - uv/c^2), it so
happens that the PoR is violated. The problem is in the term
(1 - uv/c^2), which comes from dt' = \gamma (dt - vdx/c^2).
Energy considerations prove that the LT equations have a limited
domain of applicability for tachyons, and that means it applies
to kinematics as well as dynamics.
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Kip Thorne established time travel and its associated paradoxes to be
a legitimate field of research. I have nothing against the universe
being FAR stranger than anything that I have ever believed.
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When considering the full SR argument, FTL doesn't violate causality.
Since QFT is based on SR, it has the same problem with tachyons.
Recent work is moving toward resolving that.
GR is sort of a different animal, but take an Alcubierre metric. Spacetime is flat. A warp drive is turned on, it goes FTL from
A to B, and the drive is turned off. Now spacetime is flat again,
so SR is valid and Captain Kirk violates causality, or doesn't he?
If my thesis is valid, then you can live in the Captain's universe.
Your defective arguments, however, provide nothing worthwhile to
consider.
You seem SO certain, Prok :-)
"What is not surrounded by uncertainty cannot be the truth."
-- Richard Feynman
“There are more things in heaven and earth, Horatio, than are dreamt
of in your philosophy.” -- Shakespeare
“I never learned from a man that agreed with me.” – Robert A. Heinlein
“When you talk, you are only repeating what you already know.
But if you listen, you may learn something new.” – Dalai Lama