On 9/30/2025 1:47 PM, Alan Grayson wrote:
On Sunday, September 7, 2025 at 7:49:01 PM UTC-6 Brent Meeker wrote:
On 9/7/2025 5:44 PM, Alan Grayson wrote:
On Sunday, September 7, 2025 at 2:38:40 PM UTC-6 Brent Meeker wrote:
A complicated explanation of the triplet paradox. Length
contraction is consistent, but it's not necessary to
understand the effect. AG will reject it because he doesn't
"believe in" handing off clock readings.
Brent
*
*
*No, that's not it. Rather, I am uncomfortable with de-facto
frame-jumping because I am unsure what happens to time when this
is included in a solution. And if the twins are at rest and
juxtaposed as the scenario begins -- which, BTW, is how the TP is
habitually DEFINED -- the traveling twin MUST accelerate to begin
his journey. But in the final analysis it's "your way or the
highway", meaning that alternate solutions are unacceptable for
you. *
Not at all. You think it depends on acceleration. Fine, then
here's an alternate version with acceleration. The twins each
accelerates exactly the same level for exactly the same duration.
But Red is still younger than Blue for exactly the same reason;
his path is longer in space and therefore shorter in spacetime.
*
*
*The problem with your "solution" is the assumption that the path
lengths can be different with the same acceleration. *
It's not an assumption. It's calculus 101.
*Drawing a diagram which claims that is not a proof. *
If you could recognize a proof, you could write on yourself.
*IMO, the longer path length requires more spatial acceleration than
the path you assume is shorter. *
In your opinion!! LOL
*So, you haven't dispensed with acceleration being required for the
cause of clock rare differences.*
Yes, I have, */In My Opinion!/*
* Moreover, in order to compare the two paths, you must invoke the
fact that everything moves at light speed in spacetime, which is
nowhere in sight. AG*
It's nowhere in sight because I didn't use it.
*
*Brent
*So, if there is acceleration, there is also gravity by applying
the Equivalence Principle, *
So did you apply gravitational time dilation to each twin above?
*and clocks in gravitational fields slow down, and this applies
solely to the traveling twin. Notice, I never used or applied the
concept of force, *
Above you seem to think the equivalence principle means
acceleration implies gravity
Brent
*
*
*Yes, of course it does, at least locally. It's called the Equivalence
Principle. AG*
*so claiming I did so, shows you didn't understand my solution
(using GR!). AG*
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