On 9/18/2025 11:54 PM, Alan Grayson wrote:
On Thursday, September 18, 2025 at 11:31:57 PM UTC-6 Brent Meeker wrote:
On 9/18/2025 8:27 AM, Alan Grayson wrote:
You keep saying that as if it's a mantra. What's a change in
direction if it not deviation from a straight path?
*
*
*In your neutron star example of turnaround, the motion starts as
a straight line but continues turning for awhile. More important
is your claim the GR cannot be used to solve the TP, yet here you
are using it. AG *
*TP is not a problem. So what do you mean by "solve"it; make AG
stop posting about it?
*
*
*
*If it's not a problem why did E write about it? It becomes a
"problem" if you make an error when positing it. So "solving it" makes
sense. AG*
*
I already wrote a post explaining how the examples I've created
each eliminate one of the causes that students often mistakenly
think of as causing the aging difference.
*
*Brent*
*If you have two different paths in spacetime with the same starting
and end events, each path length is invariant under the LT, but as far
as I know there's no way to compare the paths to determine their
relative lengths. *
Of course there is. You integrate the proper time along each path. The
resulting durations are invariants; they are what an ideal clock
measures along the path. The 3-lengths are not invariants and their
length depends on how fast you traverse them. We've discussed this for
months and you /just now/ realize you need to measure duration along the
paths?? That's what we've done in the SR case where it's easy and you
don't have to integrate along them
Brent
*If this is true, even when it appears that one is shorter than
another, there doesn't seem to be a way to make the comparison to
determine which has shorter proper time. Is this correct, and if not,
why? TY, AG*
*
*
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