On Thursday, January 16, 2025 at 3:52:43 AM UTC-7 Alan Grayson wrote:
On Wednesday, January 15, 2025 at 10:17:59 AM UTC-7 Alan Grayson wrote:
We were arguing about is whether I ever changed my mind. Quentin doesn't
believe I did. What do you say? More important is this: if fitting and not
fitting do not happen at the same time. AG
They do happen at the same time as clearly shown on my diagrams. In the
garage frame the entrance door closes before the exit door has to open.
The car is in the garage for about 2.5 nano-seconds. In the car frame the
doors are open at the same time so the car extends thru both.
Brent
Since you know SR well enough to know that every frame has its own clocks
and its own time. Consequently there's no single same time ("They do happen
at the same time ... ") for the car and garage frames to share. That being
the case, I'd appreciate your interpretation of your words above. TY, AG
Brent; if you have time please reply to above question.
My likely last word on the parking paradox problem. As Clark posted, the
paradox exists if one assumes the car fits and doesn't fit AT THE SAME
TIME. Of course, this is not a realistic scenario in SR, since it assumes
the car and garage frame share the same clocks. But they don't. And the
proof of that is the disagreement on simultaneity. So, IMO, using this
disagreement just shows that fitting and not fitting cannot occur
simultaneously. However, also IMO, it really doesn't resolve the paradox
which doesn't simply depend on contradictory events occurring
simultaneously. It depends on relaviity showing that the car can and cannot
fit in the garage regardless of the time this occurs, and this prediction
surely seems inherently contradictory even if predicted by SR.
AG
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