On Sunday, December 8, 2024 at 12:37:07 PM UTC-7 Alan Grayson wrote:
On Sunday, December 8, 2024 at 12:15:17 PM UTC-7 John Clark wrote: On Sun, Dec 8, 2024 at 9:49 AM Alan Grayson <[email protected]> wrote: On Sunday, December 8, 2024 at 5:39:01 AM UTC-7 John Clark wrote: *>> What does "can't fit in the garage" mean exactly? Both the car driver and the garage man agree that it means the following 2 events occurred SIMULTANEOUSLY: * *1) Both the front and back doors of the garage are closed and locked.* *2) Both the front and the back of the car are in the garage. * *But if they don't agree on what is simultaneous then there is nothing paradoxical in concluding that they will disagree about the car fitting in the garage. Strange is not synonymous with paradoxical. * *John K Clark * *> Why impose the requirement of fitting EXACTLY in the garage?* *I never said "exactly". If there is a length of time, no matter how long or short, provided it is greater than zero, in which conditions #1 and #2 in the above are met then both of them would agree that the car can and has fit in the garage. * *> All that necessary is to show that, due to length contraction, the length of the car is LESS than the length of the garage.* *And the most unambiguous way to demonstrate that is to see if it is possible to **close both the front and back doors of the garage simultaneously with both the front and back of the car being in the garage. If they can't agree on simultaneity then they can't agree on whether the car can fit in the garage. And that is odd but not paradoxical. * * John K Clark * I've shown that the car fits in the garage, from the pov of the garage, but not how you want it proven. And I see you're up to old habit of selectively editing my comments. It seems a method has been conjured up to avoid the obvious; namely, that the length of the car can be assumed as small as necessary, which leads to a paradox. AG In setting up the problem, it is assumed the rest measurements have the car longer than the garage, so IMO it's legitimate just to show that the car can be measured as shorter than the garage, which is what I did, and it leads to a paradox. Nothing wrong with my method other than the wish to avoid a paradox by using a method which involves lack of simultaneity between frames. AG tca -- 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/2f4d1a1f-5235-4efe-af44-efc4c7f2273fn%40googlegroups.com.
