On Sat, Dec 29, 2018 at 6:37 PM Brent Meeker <[email protected]> wrote:

>>> *It's an example of a geodesic being the longest path (in interval)
>>> between two events in 4-space.*
>>
>>
> >> I think you meant shortest path, there is no unique longest path it can
>> be made as long as you like.
>
>
> *> No, I mean longest path. *
>

I just typed "define:geodesic" into Google and this is what I got:
*adjective*

   1. 1.
   Relating to or denoting the shortest possible line between two points on
   a sphere or other curved surface.
   2.
   2. Another term for geodetic.



> *> The stay-home twin experiences the longest duration between departure
> and arrival of the traveling twin. *
>

Yes. Relativity says everything moves in a geodetic unless a force it
acting on them, and if the traveling twin was moving close to the speed of
light but eventually returned to where he started then a force must have
acted on him.


> > The traveling twin measures a shorter interval because he takes a
> non-geodesic path.
>

I agree, a force acted on the traveling twin so he took a non-geodesic path
and experienced a shorter proper time between events than his brother who
was on a geodesic. But in Feynman's example no force was acting on either
clock , both were in a inertial frame or close to one assuming the clocks
were small compared to the distance from the center of the Earth.

 John K Clark

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