On Tuesday, December 17, 2024 at 8:45:41 PM UTC-7 Jesse Mazer wrote:

On Tue, Dec 17, 2024 at 8:57 PM Alan Grayson <[email protected]> wrote:

I 

On Tuesday, December 17, 2024 at 2:33:46 PM UTC-7 Brent Meeker wrote:

On 12/17/2024 9:25 AM, Alan Grayson wrote:

 

> Using Brent's initial condiitons, in the rest frame the lengths of the 
> car and garage are 12' and 10' respectively. There's no controversy 
> that the car doesn't fit because it's longer. Now set the car in 
> motion and use the gamma factor in SR, 


You must be miscalculating the factor sqrt{1-v^2} is less than one, so 
the moving car is shorter.


*Yes. I should have used its inverse, so a moving car is shorter from the *
*garage frame. My general point is that the results can be obtained without*
*applying simultaneity*

Only if you ignore the whole pedagogical point of the example which I 
pointed to in my comment earlier today, namely how both frame's 
perspectives make sense without implying a true physical contradiction 
(i.e. contradictory predictions about local events).

Jesse


This, in effect, was my original problem. I thought the differing results 
was contradictory and therefore a paradox. BUT we do get differing results, 
that's a fact, and it's only contradictory if the frames can be compared at 
the same time, but this seems a Newtonian pov/bias where time is universal, 
same in all frames. In addition, SR allows for different measurements in 
different frames. Isn't this length-only result nothing more than that? 
AFAIK, SR allows for a length-only result, and the alleged paradox is 
described in error as contradictory results about local events. I look 
forward to your reply. AG

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