On 12/29/2018 3:04 PM, John Clark wrote:


On Sat, Dec 29, 2018 at 4:10 PM Brent Meeker <meeke...@verizon.net <mailto:meeke...@verizon.net>> 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.

John K Clark

No, I mean longest path.  The stay-home twin experiences the longest duration between departure and arrival of the traveling twin.  The traveling twin measures a shorter interval because he takes a non-geodesic path.  Because the metric signature is (+ - - - ) having a longer spacial part means a shorter invariant interval (which is what a clock measures).

Brent

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