tag:blogger.com,1999:blog-5497138109765858383.post8460771443969506725..comments2010-06-08T15:09:05.463-07:00Comments on Arcsecond: Re-examing the Inner Product (Euclidean Space)Markkimarkkonnenhttp://www.blogger.com/profile/11122368349695914223noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-5497138109765858383.post-28706700093138634092008-10-03T12:24:00.000-07:002008-10-03T12:24:00.000-07:00that the separation between the events is timelike...that the separation between the events is timelike <I>is</I> the main implication of the squared interval being negative.<BR/><BR/>the idea is that &Delta s^2 is the really fundamental thing, since it does not rely on any reference frame. then the sign of &Delta s^2 tells you physically whether the events are timelike, null, or spacelike separated<BR/><BR/>there's nothing special per se about negative &Delta s^2, because we could equally well multiply the entire metric by minus one, in which case spacelike-separated events would have &Delta s^2 < 0. In fact, many people actually do it this way. The physics is the same.Markkimarkkonnenhttp://www.blogger.com/profile/11122368349695914223noreply@blogger.comtag:blogger.com,1999:blog-5497138109765858383.post-83325140716282787122008-10-03T09:34:00.000-07:002008-10-03T09:34:00.000-07:00I haven't done a lot about vectors so, are there a...I haven't done a lot about vectors so, are there any implications to the fact that the inner product of the vector between timelike events is negative (∆s^2)?Nikitahttp://www.blogger.com/profile/13000740788212133512noreply@blogger.comtag:blogger.com,1999:blog-5497138109765858383.post-72960528819998982562008-09-30T23:59:00.000-07:002008-09-30T23:59:00.000-07:00Great Blog.Thank you for sharingyour curious mind!...Great Blog.<BR/>Thank you for sharing<BR/>your curious mind!Anonymousnoreply@blogger.com