On Tue, Dec 17, 2024 at 11:34 PM Alan Grayson <[email protected]> wrote:
> > > On Tuesday, December 17, 2024 at 9:05:09 PM UTC-7 Jesse Mazer wrote: > > 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, rhe distance between that pair of > events in the car frame is always 12. > > > OK, AG > > > 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. > > > Don't follow. AG > Can you say more about what you don't follow about this comment? Given the two garage worldlines, we can find pairs of events along those two worldlines that are simultaneous in the car frame, no? (just draw a horizontal line in the first of Brent's diagrams, which was drawn from the POV of the car frame, and the points where your horizontal line intersects the two slanted red garage worldlines will be such a pair) Is that the part you don't follow, or do you not follow why the distance between any such pair would be 6 in the car frame? Jesse -- 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/CAPCWU3%2B5GOrgLy4Jsfvh5_5OMaF1T_t%3DKZ5GWKu5qHtsneM1kg%40mail.gmail.com.
