On 9/29/2025 10:39 AM, Alan Grayson wrote:
On Saturday, September 6, 2025 at 5:56:36 PM UTC-6 Brent Meeker wrote:
No. You're over complicating the problem. It's as simple as the
fact that two different thru spacetime are different lengths.
Because the spatial coordinate distance, X, appears with a minus
sign relative to the coordinate time, T, the proper time, S (which
is what a clock measures). So the rocket, which takes the longer
spatial path, experiences less proper time lapse.
*Aren't you assuming that the integrated S over both paths is the
same? This is the issue I previously flagged. How do we know that both
paths when integrated, have identical lengths, S? AG *
Certainly not. *The whole point is that they have different length!*
The proper time S is what a clock (or age) measures.
Brent
This result has nothing to do with accelerations experience by the
traveler. This a common specious "explanation" trying to connect
it to general relativity. This is most easily seen by the triplet
version of the paradox. In this version the one triplet stays
home, one travelers away from Earth, and one who has been far away
returns to Earth. When the outbound triplet passes the inbound
triplet he hands off the time to the inbound one, so together they
measure the same path as the turnaround twin.
Notice that I have also avoided any acceleration at the beginning
and end, so no triplet ever accelerates.
Brent
On 9/6/2025 8:01 AM, Alan Grayson wrote:
On Saturday, September 6, 2025 at 5:39:18 AM UTC-6 John Clark wrote:
On Sat, Sep 6, 2025 at 1:10 AM Alan Grayson
<[email protected]> wrote:
/> If you recall, you recently posted some links to the
TP and accused me of not reading them. Well, I certainly
intended to read them and I explained why. But then I got
involved in other discussions here and put that
temporarily aside. But now those links are, from my pov,
lost in a myriad of discussion threads. So, please be so
kind as to post them again here. TY, AG/
*Start with this video:*
*I Never Understood How To Intuitively Solve The Twin's
Paradox ... Until Now!*
<https://www.youtube.com/watch?v=3V00tAfcHCI>
*John K Clark See what's on my new list at Extropolis
<https://groups.google.com/g/extropolis>*
I've encountered that fellow before. He speaks too fast, way too
fast. It seems to me that GR solves the problem, and without
frame jumping. Just imagine several changes in velocity, each
spread out, so not instantaneous. During those changes, time for
the traveler slows compared to rest frame on Earth, so when he
returns to meet his twin, he is younger. Do you see anything
wrong with this analysis? AG
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