On Tuesday, January 7, 2025 at 10:43:08 AM UTC-7 John Clark wrote:

On Tue, Jan 7, 2025 at 9:35 AM Alan Grayson <[email protected]> wrote:

*> I'm not denying simultaneity. But I do see it as irrelevant in knowing 
whether the car fits or not.*


*Irrelevant?! Regardless of how long or short the car is or how long or 
short the garage is or how fast or slow an observer is moving EVERYBODY 
will agree that there was a time when the back of the car entered the front 
of the garage, and everybody will agree there was a time when the front of 
the car left the back of the garage, and everybody will agree there was a 
time where both of the doors on the garage were closed, BUT they will 
disagree if those three events occurred simultaneously. Those who think 
they were simultaneous events will conclude that the car fit in the garage, 
and those who think the events were not simultaneous will conclude that the 
car did not fit in the garage.  *

*John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis>*


*Why cannot the car's endpoints be simultaneous without the car fitting? 
After all, in any frame, all clocks can be synchronized to be simultaneous. 
ISTM that the necessary requirement for fitting is the relative lengths of 
the car and garage, and these lengths depend on the initial conditions, and 
later on the car's speed, applying length contraction using the LT. I get 
the same results as Brent just using length contraction and yet, according 
to Quentin, I am downgrading the disagreement about simultaneity. The fact 
is, it isn't needed to establish the apparent paradox. If you guys want to 
blame someone, blame Einstein! AG *


*8ys*
 

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