On Saturday, December 21, 2024 at 5:00:13 AM UTC-7 Alan Grayson wrote:

On Friday, December 20, 2024 at 3:35:05 AM UTC-7 Quentin Anciaux wrote:

Why bother answering a troll ? He will never admit anything, will change 
what he says if he's cornered. His sole purpose and pleasure is trolling. 
You end a troll by ignoring it. Ignoramus as him and cosmin are better 
dealt with plain silence, that's all these shitty human beings deserve.


 http://insti.physics.sunysb.edu/~siegel/sr.html

A famous "paradox" is trying to park a relativistic car in a garage: *From 
the point of view of the car, the garage has "Lorentz contracted", and the 
car will no longer fit. But from the point of view of the garage, the car 
is now shorter, and so will fit even better. The resolution of the paradox 
is that if the front end of the car stops simultaneously to the back end 
from one "reference frame", that will not be true in the other.* If both 
ends do not stop at the same time, the car changes length. (This has often 
been observed nonrelativistically, for cars stopped by trees or other cars.

Quentin; believe it or not, I'd like to be done with this problem. And 
since IIRC you posted the above link, perhaps you will be so kind as to 
explain it to me. If I read correctly, the author claims there appears to 
be a contradiction concerning in which frame the car fits in the garage. It 
appears that from the pov of the car, it can't fit in the garage due to 
length contraction of the garage; whereas from the pov of the garage frame, 
the car fits easily due to the car's length contraction.  "*The* *resolution 
of the paradox is that if the front end of the car stops simultaneously to 
the back end from one "reference frame", that will not be true in the 
other." *

*I fail to understand the alleged resolution of the paradox. How does the 
failure in simultaneity solve the paradox? Is the author claiming that 
because there is a failure in simultaneity in the car frame, the car won't 
stop in the car frame, even though it stops in the garage frame? Seriously; 
please explain it if you can. TY, AG*


*Quentin; FYI the model of the paradox you posted is seriously flawed 
because it assumes the car comes to an instantaneous rest when it fits in 
the garage. Obviously, in this scenario, the car and garage would 
instantaneously recapitulate the initial condition of the rest frame where 
the car doesn't fit because it longer than the garage. Consequently, the 
preferred scenario is to imagine the garage like a covered bridge with both 
ends open, and use a velocity of the car exactly large enough so the car 
perfectly fits in the garage as it passes through. Then, the front and back 
end of the car are simultaneous at both openings. This is how Brent modeled 
the problem, IIUC. And the alleged solution is that the simultaneity which 
is achieved in the garage frame, fails in the car frame. So, the question I 
pose for you and anyone here who is interested, is this; how, exactly, does 
the disagreement of simultaneity solve the paradox (of the car fitting in 
garage frame, but not in car frame when the car is moving at a sufficient 
velocity)? TY, AG* 

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