On Wednesday, February 5, 2025 at 2:22:09 PM UTC-7 Alan Grayson wrote:
FWIW, I've established to my satisfaction that the "paradox" is unrelated to the fact that the car fits and doesn't fit in the garage. As Clark pointed out, this result is "odd". And it is not related to Clark claim the alleged paradox has anything to do with the idea that fitting and not filling occurs "at the same time", since each frame in SR has its own set of clocks, so the hypothesis in quotes makes no sense. The one thing there's general agreement on, is that the paradox is resolved by applying the disagreement about simultaneity. You've made this claim repeatedly and mocked me for not seeing the light. But if your alleged solution, which I referred to as a slogan, is the solution to the paradox, the question is, "What is the problem it is a solution to?" So, now I'd appreciate an answer to this basic question, if you have one. What exactly, in your opinion, is the paradox you claim is solved by disagreement about simultaneity? AG I think simultaneity applied to the paradox as its resolution is overblown. I mean we know before applying simultaneity, that each frame, car and garage, have their own set of clocks. Consequently, if the root cause of the paradox is the error of thinking the car fits and doesn't fit *at the same time,* we know, or should know, that the phrase "at the same time" is meaningless. If, OTOH, we imagine the respective observers are juxtaposed at the center of the garage, we get something reminicient of "at the same time", only now with the "same" spatial location, albeit with different labels. IOW, the co-located observers observe diametically opposite results; namely, the car fitting and not fitting (provided if the velocity of the car is sufficient for the former result, whereas the latter result is always true independent of the car's velocity). Is this paradoxical? Not if you accept accept that SR allows different frames to make different measurements. 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 [email protected]. To view this discussion visit https://groups.google.com/d/msgid/everything-list/34ce15f2-c5fb-440c-bbd5-d23a696ec4ean%40googlegroups.com.
