Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.research

Topic: Is there a compact form for n-tuple relativistic additions of
velocities?

Replies: 7   Last Post: Jun 4, 2010 6:08 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
stargene@sbcglobal.net

Posts: 18
Registered: 11/11/05
Re: Is there a compact form for n-tuple relativistic additions of
velocities?

Posted: Jun 4, 2010 3:47 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


Hi, and several googols of thanks for your help. When I tried your

vsum(n copies of x) = 1-2/(2*AT(x))^n

it did not work for me, probably due to a misunderstanding on my
part. But your

vsum(n copies of x) = T(n*AT(x))

worked perfectly on my Haxial calculator, reproducing results
identical to my own tedious calculations, eg: with n = 5, 10 and 50,
using recursive versions of SR's original relation. Using your
relation and pushing n to 10^7 and then 10^9, it also shows that
vsum(n copies of x) converges quickly to

v = .761594155... Co,

instead of Co itself. This is unexpected, though I already knew
that for n = 2, 3, 5 and 10 (with v = Co/2 , Co/3 , Co/5 and Co/10 ),
the resultant velocities <decreased>, ie:

0.8 , 0.777 , 0..7672 and 0.76299 times Co ,

respectively (where Co = unity). This bothered me, especially since
initially it seemed conceivable that the sum might even converge to
0.0 as n --> infinity and v --> 0.0 Co! Nevertheless, the actual con-
vergence is still counter-intuitive, having expected the sum to rise
eventually to Co, as I'm guessing you did too.

Interesting...though what it might mean physically is anybody's guess,
without a ouiji board and Prof. Einstein.




Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.