On Tue, Dec 17, 2024 at 10:52 PM Alan Grayson <[email protected]> wrote:
> > > On Tuesday, December 17, 2024 at 6:57:28 PM UTC-7 Alan Grayson wrote: > > I > > 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 > For any pair of events on the worldlines of the front and back of the car which are simultaneous in the car frame, the distance between that pair of events in the car frame is always 12. And for any pair of events on the worldlines of the front and back of the *garage* which are simultaneous in the car frame, the distance between that pair of events in the car frame is always 6. So no matter what pair of events you choose for car and garage, if they are simultaneous in the car frame the car is always too long to fit in the garage as measured in the car frame. Jesse > > > > Brent > > -- > 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/129e35d6-2d07-40c2-bcf7-95b8040af789n%40googlegroups.com > <https://groups.google.com/d/msgid/everything-list/129e35d6-2d07-40c2-bcf7-95b8040af789n%40googlegroups.com?utm_medium=email&utm_source=footer> > . > -- 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/CAPCWU3L9zKg6CtBeqKTBYEPyHifD9iAkif1qz-dfUiyWu0MX3w%40mail.gmail.com.
