On Saturday, December 14, 2024 at 2:32:41 PM UTC-7 Brent Meeker wrote:
On 12/14/2024 9:34 AM, Alan Grayson wrote: > Yes. In relativity measurements are generally not frame invariant, > such as the E and B fields in EM. But this case seems different. > Imagine two observers, one in car frame and the other in garage frame, > and they're both viewing the car passing through the garage, now open > on both ends. Ostensibly, the former sees the car fail to fit in the > garage, the latter sees the opposite. I don't believe a rigorous > definition of "fit" will resolve this contradiction. Now I have a > question for you and Brent concerning his plots. What EXACTLY did his > plots ostensibly prove? AG That an observer sitting at the center of the garage and using mirrors to simultaneously photograph both ends of the garage will, for a sufficiently fast car, get photographs showing both ends of the cat in the garage. Brent So, from the pov of the garage, the car fits in the garage; exactly my claim due to Lorentz contraction of car, from garage frame. I didn't need a plot to deduce this result. Now, from car's reference frame, the garage length shrinks due to Lorentz contraction, and for a sufficiently fast car, it won't fit since the car's length remains the same in this scenario. Conclusion; the frames disagree on whether the car fits. Is this a reasonable conclusion, given that the two observers are viewing the same phenomenon? AG -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion visit https://groups.google.com/d/msgid/everything-list/e8ab165a-7a00-431c-8a99-a71dab5b4c02n%40googlegroups.com.
