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Twin Paradox without acceleration

#11
confused2 Offline
Kornee Wrote:As I hinted at earlier, a hypothetical direct timing of muons requires synchronized clocks (as stop-watches) upper and lower. In the muon frame, to explain the clock readings, nonsimultaneity of clock timings in that frame must be invoked.

That would rather have missed the point of having a particle tuned to within a gnats-cock to make the experiment work as it is.
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#12
Kornee Offline
(Jan 17, 2023 10:58 PM)confused2 Wrote:
Kornee Wrote:As I hinted at earlier, a hypothetical direct timing of muons requires synchronized clocks (as stop-watches) upper and lower. In the muon frame, to explain the clock readings, nonsimultaneity of clock timings in that frame must be invoked.

That would rather have missed the point of having a particle tuned to within a gnats-cock to make the experiment work as it is.
Sure. A 'full' direct measurement setup would require the clocks to both be at different elevations above ground level, with somehow a detector at ground level miraculously aligned to record (or not) arrival of each individually timed muon.
Clearly can't be done in practice. And even then, there is necessarily that complication of continual atmospheric momentum loss that can only be reasonably modeled as approximation.
So the cosmic ray generated muon experiment is inherently imprecise but good enough to establish SR time dilation works as advertised.
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#13
confused2 Offline
Kornee Wrote:So the cosmic ray generated muon experiment is inherently imprecise but good enough to establish SR time dilation works as advertised.

I think that's as far as we can go. The thread should have been called "Muon Experiment - time dilation without acceleration" but its a bit late now and I see no point in starting again. Thanks for turning this into a discussion rather than just a monologue from me which nobody would have taken any notice of.
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#14
Kornee Offline
(Jan 18, 2023 11:45 AM)confused2 Wrote: I think that's as far as we can go. The thread should have been called "Muon Experiment - time dilation without acceleration"  but its a bit late now and I see no point in starting again. Thanks for turning this into a discussion rather than just a monologue from me which nobody would have taken any notice of.
No problem. There were one or two interesting aspects in that informative article I had not considered before so it was imo a worthwhile exercise.
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