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 <[email protected]>
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
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