> > Let's us try to find an identity element from this
> > form a*b = (a + b) / (1 + a b / c^2).
>
> >       a*e = (a + e) / (1 + a e / c^2) = a,
> >       where
> >       a is the velocity of observer B, measured by observer A,
> >       and
> >       e is the velocity of a moving body as measured by
> >       observer B.
>
> >       a + e = a + a^2 e / c^2,
> >       e = a^2 e / c^2,
> >       e vanishes. We can't find an identity element.
> >       Only that a^2 = c^2 for all a, which is a contradiction.
>
> So, meanwhile, have you figured out by now how you get from
>         e = a^2 e / c^2
> to
>         e = 0 ?
>
> Hint: it has to do with algebra - level age 12.
>
> Let me know when it percolates?
> Or did you plan to come with a new surprise?
>
> How about this:
>    https://home.deds.nl/~dvdm/dirk/Physics/Fumbles/WeCantFind.html
>
> Dirk Vdm

Yes, I've figured it out. Let us see. Say
a = c/2,  then

         e =  a^2 e / c^2 ,
         0 =  a^2  0 / c^2 ,
         a = ± c sqrt(0/0)

Wowwwwwwwww, you are right, it yields

         a = c/2.

I like that equation , it can yield any result you like! :-)
Fuckhead