On Thu, Feb 13, 2014 at 3:29 PM, LizR <[email protected]> wrote: > On 14 February 2014 06:55, Edgar L. Owen <[email protected]> wrote: > >> Jesse, >> >> See my proximate response to Liz who asked the same question. Basically >> relativity theory gives you the equations for both frames for any >> relativistic situation. So all you have to do is do the calculations like >> I've explained to you with nearly a dozen examples. >> >> That doesn't work, I'm afraid, which is why we both asked the question. > Originally you said "you can stop the experiment at any point..." (and > check the clocks of the observers). That implies you mean a *point in > time* - and a point in time which will be simultaneous for all observers. > Hence if you are working within relativity theory you must be referring to > a hyperplane of simultaneity. > > So our question remains unanswered. >
Edgar has also said that if some observers start out with clocks synchronized at a single point in space and time and then move inertially away from one another, he thinks their clocks remain synchronized in p-time. He may not have thought about it in these terms, but this would actually imply a hypersurface of simultaneity shaped like a hyperbola, not like a flat hyperplane, as illustrated in this spacetime diagram showing the surface where different worldlines emanating from a common origin have each aged by 1 unit of elapsed proper time since departing from one another: http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/spacetime/spacetime_Minkowski_detail.png The diagram is from the very bottom of the page at http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/spacetime/ which is a good discussion of spacetime geometry overall. 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 post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
