Jesse,

Do you understand why the world line that is depicted as LONGER in the 
typical world line diagram is ACTUALLY SHORTER?

E.g. in your diagram do you understand why even though A's world line looks 
longer than C's world line, it is ACTUALLY SHORTER?

Edgar





On Friday, March 7, 2014 5:15:57 PM UTC-5, jessem wrote:
>
>
>
>
> On Fri, Mar 7, 2014 at 4:02 PM, Edgar L. Owen <edga...@att.net<javascript:>
> > wrote:
>
> Jesse,
>
> Finally hopefully getting a minute to respond to at least some of your 
> posts.
>
> I'm looking at the two 2 world line diagram on your website and I would 
> argue that the world lines of A and B are exactly the SAME LENGTH due to 
> the identical accelerations of A and B rather than different lengths as you 
> claim.
>
> The length of a world line is the PROPER TIME along that world line. Thus 
> the length of a world line is INVARIANT. It is the length of the world line 
> according to its proper clock and NOT the length according to C's clock 
> which is what this diagram shows.
>
>
> I don't understand what you mean by "the length according to C's 
> clock"--are you just talking about the numbers on the vertical time axis, 
> 2000-2020? That axis represents the coordinate time in C's rest frame, and 
> obviously the coordinate time between "2000" at the bottom of the diagram 
> and "2020" at the top is 20 years regardless of what path you're talking 
> about, so I don't see how it makes sense to call this the "length" of any 
> particular path. But you can also use C's 
> ...

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