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. 

 
* No. This is wrong and is the cause of the so-called paradox. AG*
 

But Red is still younger than Blue for exactly the same reason; his path is 
longer in space and therefore shorter in spacetime.


*But why do the paths have different lengths? Answer; one twin is 
accelerating, the other not. AG*






*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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