On 12/6/2024 6:09 PM, Alan Grayson wrote:
On Friday, December 6, 2024 at 5:30:59 PM UTC-7 Brent Meeker wrote:
I thought I had put this to bed long ago. Here's how is looks in
the cars reference frame. The garage ,which is 10' long, is
moving fast toward the car. It's length is Lorentz contracted to
only 6', so the car doesn't fit. No surprise since the car is 12'
long.
But now from the garage's reference frame. The car is contracted
to only 8' and so fits nicely, both ends of the car are inside the
garage at the same time (where simultaneity is defined in the
garage reference frame).
But doesn't this contradict the car's observation that the garage
was way to short? No, because what the car measure to be
simultaneous is shown as the slanted car. His front bumper was
well beyond the end of the garage when his rear bumper had just
entered. These two diagrams are just the Lorentz transform of one
another.
*Please elaborate on this point. TY, AG*
Brent
*So, from the car's frame, the car won't fit in garage due to
contraction of garage's length, but from garage frame the car fits
perfectly due to contraction of car's length, and then it doesn't? *
How did you get "and then it doesn't out of what I wrote." Study the
diagram.
Brent
*So, apparently, there's no objective answer to the question of
whether car fits in garage, or not. Doesn't there have to be agreement
betweem the frames to claim the apparent paradox is resolved? BTW,
what velcoity did you use to get the numerical contraction values? AG*
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