On Monday, December 30, 2024 at 1:24:50 PM UTC-7 Jesse Mazer wrote:

On Sun, Dec 29, 2024 at 5:10 PM Alan Grayson <[email protected]> wrote:



On Sunday, December 29, 2024 at 3:01:11 PM UTC-7 Brent Meeker wrote:




On 12/29/2024 2:03 AM, Alan Grayson wrote:

https://www.youtube.com/watch?v=dDqUbBYpB_k#:~:text=from%20the%20car's%20reference%20rate%20however%20the,will%20get%20smashed%20by%20the%20garage%20doors.&text=in%20order%20to%20find%20out%20we%20must,use%20our%20friends%20the%20lorentz%20transformation%20equations
.


They are just calculating the position of the ends of the car in the garage 
frame so it it is contracted.

Brent


Does it show the car fits from the car frame, which is the claim? Maybe 
this video is better. AG

 https://www.youtube.com/watch?v=4HtKe9POc_Q



Do you watch these videos all the way through before posting links? In this 
one he says at 4:35 that "the solution to our paradox" is that while the 
doors are able to close simultaneously in the barn's frame with the pole 
inside, in the pole's frame the door closings are not simultaneous. After 
actually calculating the times in the pole frame using the LT, he says at 
6:45 "Just think about what this means: the time that the back door closes 
is significantly before the front door closes. In other words, as the barn 
is moving towards the pole, the back door closes momentarily and then opens 
up immediately after. And when the back of the pole enters the barn the 
front door closes. So the closing of the doors that occurred simultaneously 
in one frame of reference does not occur simultaneously in the other frame 
of reference, and our paradox is resolved."

Jesse 


*While it's obvious that the frames disagree on simultaneity, I really 
don't understand why that FACT, in itself, which I never disputed, resolves 
the paradox. No one has explained this to my satisfaction. Moreover, even 
supposing it's true, why does disagreement about simultaneity, somehow 
supercedes the fact that the LT implies the car doesn't fit from the pov of 
the car's frame (since the width of the garage can be made arbitrarily 
short using the LT, while the car's length remain constant). I also notice 
in Quentin's summary explanation, he affirms the disagreement of 
simultaneity, yet still concludes the car can't fit from the pov of the 
car's frame, essentially re-stating the paradox. I think Brent does the 
same with his plots. I am quite willing to admit I have been mistaken and 
annoying in pursuing this issue, but the analyses presented either fail to 
concretely and unambiguously link the simultaneity issue, with whether the 
car fits in garage from the pov of car frame, or not. And if not, what's 
the basis and rationale for simply ignoring what the LT clearly implies wrt 
the car frame? TY, AG*

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