Re: A Geometrical Proof of the Non-invariance of the Spacetime Interval

[David Rutherford <drutherford@SOFTCOM.NET>]

"RAUBER, JOEL" wrote:
> > > Let me pose a slightly different question.  Its 10am according to
> > > F' several hours after breakfast and several hours before lunch
> > > according to F'
> > >
> > > In what city does F' say his breakfast occured?
> >
> > According to SR, F' _always_ (at and after the occurrence of
> > breakfast) considers breakfast to have occurred wherever F' (the
> > origin of F') happens to be at the time.
>
> I infer from what you say above that F' considers breakfast to occur in LA,
> since his origin was in LA at the time of breakfast. n'est pas? Or have I
> misinterpreted what you say?

If that were the case, F' would not measure zero distance between
breakfast and lunch at the time of lunch. SR definitely says
that F' will measure zero distance between the two, in the example I
posed. F' makes the measurement of the distance between breakfast and
lunch at the time of lunch. At that time, he places one end of his tape
measure at the place he considers breakfast to have occurred (his
origin), and the other end at the place he considers lunch to occur (his
origin). Therefore, he determines that there is zero distance between
breakfast and lunch.

--
Dave Rutherford
"New Transformation Equations and the Electric Field Four-vector"
http://www.softcom.net/users/der555/newtransform.pdf

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