On Friday, January 10, 2025 at 11:16:16 AM UTC-7 Alan Grayson wrote:

On Friday, January 10, 2025 at 11:05:06 AM UTC-7 John Clark wrote:

On Fri, Jan 10, 2025 at 10:21 AM Alan Grayson <agrays...@gmail.com> wrote:

* > if you believe in SR and the LR, you have to conclude the car won't fit 
in car frame.*


*If you believe in Special Relativity then you can't just take length 
contraction into account, you also have to consider time dilation, and if 
you have time dilation then simultaneity is not objective but is 
subjective. And the definition of "fitting in the garage" is that the front 
of the car is fully within the garage while simultaneously the back of the 
car is also fully within the garage.     *


If I believe in SR, then I can use length contraction to establish the car 
won't fit in garage in car's frame. But this alone doesn't prove that the 
car fitting and not fitting in respective frames does not occur 
simultaneously. Thus, more information is required to prove there's no 
paradox. When you claim simultaneity is not objective, I assume you mean 
it's frame dependent. Nonetheless, it can be calculated for the conditions 
defining this problem. AG 


I assume the calculation requires using the Lorentz time transformation to 
get the event times in the car's frame, assuming we know it in the garage 
frame. AG 

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