On 1/6/2025 2:28 PM, Alan Grayson wrote:
Quentin, look at it this way: the speed of the car can be assumed sufficiently fast, so that its length can be assumed to be any tiny fraction of the garage's length we wish, from the pov of the garage frame. With this contracted length for the car, and noting that the garage's length remains unchanged, the car can easily fit in the garage. We don't care when it fits, only that it does fit. Now, from the pov of the car frame, the garage, which is initially assumed to be shorter than the car, becomes even shorter. So, at whatever speed has been assumed, the car can never fit in the garage.These conclusions have absolutely nothing to do with simultaneity. AG
But that the doors can be opened and closed so that when the car fits both doors are (momentarily) closed and in exactly the same events seen from the cars pov the car also passes thru without hitting a door, which has a lot to do with simultaneity. And that's why there is no contradiction between the two frames (which there would be if the car hit a door in one view and not in the other).
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