On 9/7/2025 6:46 PM, Alan Grayson wrote:


On Sunday, September 7, 2025 at 7:36:32 PM UTC-6 Brent Meeker wrote:



    On 9/7/2025 5:52 PM, Alan Grayson wrote:


    On Sunday, September 7, 2025 at 2:29:11 PM UTC-6 Brent Meeker wrote:



        On 9/7/2025 12:12 PM, Alan Grayson wrote:

        *In reality, there surely IS acceleration, even though it
        might not be necessary to use it to solve the problem. Can
        the traveling twin return without acceleration? Of course
        not! AG*
        Actually he can.  All he has to do it slingshot around a
        distant planet in order to head back to Earth:

    *
    *
    *But that's NOT how the TP is defined! AG *

    What is this "defined"?  It's not /*defined*/ anywhere.


*That's how it's described in almost any text one can find. You have a private definition. AG*

    It's just a thought experiment that was paradoxical in Newtonian
    mechanics.  Every version I've shown you is paradoxical in
    Newtonian mechanics /*in exactly the same way*/.  If you'd open
    you eyes and mind, you'd see that they give an intuitive grasp on
    why they all give the same answer in relativity and so resolve the
    same paradox





        You may object that he accelerated in turning around. */But
        general relativity teaches us that force free motion in a
        gravitational field is geodesic and there is no acceleration./*


    *So the traveling twin turns around without acceleration? AG *
    Read my last sentence above over again a few times.

    Brent

*
*
*I did, initially. During the turnaround the motion is NOT force free, which GR allows, and one can apply the Equivalence Principle, and then time dilation. AG *
You seemed to have missed GR 101 where it is explained that gravity is NOT a force.

Brent

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