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.
and it's even longer, so sane persons, and maybe even some not
entirely sane, would conclude the car still cannot fit. AFAICT,
disagreement about simultaneity has nothing to do with this
conclusion, Similar logic can be applied to garage frame. Car length
is contracted using gamma factor, so for v large enough, car will now
fit in garage. Same conclusion using the gamma factor. For each frame
we use the gamma factor to shorten the relevant length. AG
Yes, you look at it just in terms of lengths, which is what I did in the
first pair of diagrams. But the relativity of simultaneity is another
way to look at the same problem, which is what I showed in my last posting.
Brent
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