On Wednesday, October 1, 2025 at 6:11:55 PM UTC-6 Brent Meeker wrote:
On 10/1/2025 6:38 AM, Alan Grayson wrote: On Wednesday, October 1, 2025 at 7:20:13 AM UTC-6 John Clark wrote: On Wed, Oct 1, 2025 at 8:29 AM Alan Grayson <agrays...@gmail.com> wrote: *> Have physicists in the last 120 years claimed that two paths of different lengths in spacetime which start and end at same events, have the same accelerations, except Brent in his diagram? AG* *In a word, yes. Two worldlines between the same events in spacetime can have different lengths even if both involve acceleration. And proper time is the length of your world line. But of course if they have identical acceleration histories then they are in the same worldline, not a different one.* You're writing nonsense. Brent has two worldlines with different lengths, claiming they have identical accelerations. AG And he included diagrams showing the accelerations had the same amplitudes and durations. And that even was redundant. From the diagram it is clear that Red and Blue had the same velocity at the initiation of their accelerations and they turned their velocity thru the same angle in each period of acceleration...hence one can infer mathematically that their (acceleration*duration) products were the same. Brent *That was your intention, but since the clock moving along the longer path, needs a greater turn if done in one acceleration, I don't think splitting the accelerations into two components solves your intention to make the accelerations of both paths equal. Recall that in the usual interpretation of the TP, where one twin is stationary and the other traveling, this situation is a limiting case of what you're doing in the diagram. It tends to confirm that the accelerations are not identical in your more general case. The only real proof of your claim is mathematically. The fact that your diagram affirms your claim is, IMO, insufficient. AG* -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion visit https://groups.google.com/d/msgid/everything-list/d7634219-02a1-4d89-9ff6-feccdfd6ea90n%40googlegroups.com.
