On 12/17/2024 11:21 PM, Alan Grayson wrote:


On Tuesday, December 17, 2024 at 10:16:51 PM UTC-7 Brent Meeker wrote:

    On 12/17/2024 7:52 PM, Alan Grayson wrote:

           On Tuesday, December 17, 2024 at 6:57:28 PM UTC-7 Alan
    Grayson wrote:

                  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:


            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 *


    We seem to be on the same page concerning use of length
    contraction to explain the
    differing results in the frames under consideration. But I remain
    unclear how the
    disagreement of simultaneity can also give the same results. For
    example, suppose
    from the pov of the garage frame, the car fits in the garage for
    sufficient v, with room
    to spare, but the front and rear end EVENTS do not Lorentz
    transform into simultaneous
    events in the car frame. Can't there be other ways for the car to
    fit, using another set
    of events which*are* simultaneous in the car frame? AG

    Sure. If  the car's speed was just right, it would be the same
    length as the garage.  Then in the diagram A and B would be at the
    same time in the garage frame the car would be just the right
    length such that the rear of the car entered the garage just as
    the front exited the garage. Since we know the car is 12 long and
    the garage is 10 long we can calculate the required speed from
    10/12 =sqrt{1-v^2} which yields v=0.553 if I did the arithmetic right.


That would be 0.553c. So, if the front and back events in the garage frame are simultaneous in the car frame AND in the garage frame,
Nobody said that the events were simultaneous in the car frame.  The car is contracted in the car frame.  You keep throwing shit in problem just to keep it going.  I'm starting to suspect you're just a troll.

Brent

why is it claimed that the solution to the problem, whatever it is, depends on disagreements of simultaneous events, when there are none? And if we get different results for fitting in the garage, where, for example, the car never fits, is there anything about this result that implies something contradictory or paradoxical? AG




    Brent

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