On 10/1/2025 2:32 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.
*It seems to me that the acceleration of the longer path must be
larger than that of the shorter path because its turning angle is
larger to get the two clocks to move in parallel for final
juxtaposition. AG *
That's why I showed it as two increments of half the total angle each,
just as Blue also makes two equal turns.
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
*so claiming I did so, shows you didn't understand my solution
(using GR!). AG*
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