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On Tuesday, December 17, 2024 at 2:33:46 PM UTC-7 Brent Meeker wrote:
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.
*Yes. I should have used its inverse, so a moving car is shorter from the *
*garage frame. My general point is that the results can be obtained without*
*applying simultaneity, which is what I meant when posting to Quentin that*
*he was using "slogans" by insisting that the problem can be solved ONLY
by *
*simultaneity. Further, since no one has a problem with asserting the car*
*can't fit initially, in its rest frame, because it's longer than the
garage, I can*
*use this argument in all my conclusions when posting about the results*
*in different frames. That is, the car fits or not depending on its length*
*relative to garage, which is sufficient to prove my point. AG*
> *and it's even longer,*
*That should read, "and it's even shorter." AG*
.
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.
*Another way, but not the only way. AG *
Brent
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