On 10/1/2025 10:42 PM, Alan Grayson wrote:
On Wednesday, October 1, 2025 at 10:48:48 PM UTC-6 Brent Meeker wrote:
On 10/1/2025 7:13 PM, Alan Grayson wrote:
On Wednesday, October 1, 2025 at 6:11:55 PM UTC-6 Brent Meeker wrote:
On 10/1/2025 6:38 AM, Alan Grayson wrote:
On Wednesday, October 1, 2025 at 7:20:13 AM UTC-6 John Clark
wrote:
On Wed, Oct 1, 2025 at 8:29 AM Alan Grayson
<agrays...@gmail.com> wrote:
/> Have physicists in the last 120 years claimed
that two paths of different lengths in spacetime
which start and end at same events, have the same
accelerations, except Brent in his diagram? AG/
*In a word, yes. Two worldlines between the same events
in spacetime can have different lengths even if both
involve acceleration. And proper time is the length of
your world line. But of course if they have identical
acceleration histories then they are in the same
worldline, not a different one.*
You're writing nonsense. Brent has two worldlines with
different lengths, claiming they have identical
accelerations. AG
And he included diagrams showing the accelerations had the
same amplitudes and durations. And that even was redundant.
From the diagram it is clear that Red and Blue had the same
velocity at the initiation of their accelerations and they
turned their velocity thru the same angle in each period of
acceleration...hence one can infer mathematically that their
(acceleration*duration) products were the same.
Brent
*That was your intention, but since the clock moving along the
longer path, needs a greater turn if done in one acceleration, I
don't think splitting the accelerations into two components
solves your intention to make the accelerations of both paths
equal. *
What the hell does "solves you intention" mean. The velocities
are the same and the angle thru which they turn is the
same...those are hypotheticals of the story. It follows that the
(acceleration*duration) are the same.
*"Solves your intention" means your model establishes, from your pov,
that acceleration does not solve the TP problem. This is plain
English. Why can't you understand it? AG*
*
*
*On the longer path, the further out it goes, the greater is the turn
required, *
But that's simple false. No matter how far away Red goes he only need
to make a 180deg turn to return. The four turns in the diagram are all
90deg turns in space.
Brent
*and hence, more acceleration. Drawing it in a way that makes the
accelerations identical is impermissible if you're trying to prove the
accelerations are identical. AG*
*Recall that in the usual interpretation of the TP, where one
twin is stationary and the other traveling, this situation is a
limiting case of what you're doing in the diagram. *
NO, IT IS THE SAME CASE. In my diagram it is clear that Blue is
stationary for the duration of Red's trip. Are you going to claim
that it matters whether Blue was stationary some other time??
*
*
*I never claimed it's the same case. You have two paths. One twin is
stationary in the standard TP. In the case we're discussing, both are
moving. I just brought up the case of the standard TP to discuss one
limiting case. Then I discussed the other limiting case where both are
moving and the paths juxtaposed. Didn't you understand what I was
doing? AG*
*It tends to confirm that the accelerations are not identical in
your more general case. The only real proof of your claim is
mathematically. The fact that your diagram affirms your claim is,
IMO, insufficient. AG*
Which only shows how ignorant or unserious you are.
*No. What it shows is you're emotionally unqualified to consider
yourself a teacher. Obviously, you don't have a clue what I am
alleging. AG *
Brent
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