On May 13, 3:02*pm, Albertito wrote:
On May 13, 6:59 pm, Igor wrote:





On May 13, 1:52 pm, Albertito wrote:

On May 13, 6:26 pm, Igor wrote:

On May 11, 2:26 pm, Albertito wrote:

On May 11, 7:10 pm, Igor wrote:

On May 9, 7:44 am, Albertito wrote:

Let us consider the simple case of addition of velocities
along a straight line. The incompleteness of SR resides
in the fact that a speed v can't currently be experimentally
distinguished from its rapidity r = arctanh(v/c), for values
of that beta = v/c *below the third-order term approximation.
The power series expansion of r = arctanh(v/c) is

* * * * * r = v/c + v*3/3c^3+ v^5/5c^5 + v^7/7c^7 + ...

Provide references of any experimental test of SR, showing
that the rapidity r can be distinguished from its beta v/c, beyond
its second-order approximation. Prove at least that the third-order
term v*3/3c^3 lives outside the error bars. Since, we can't *still
perform such accurate experimental tests, we must conclude
the addition of velocities still remains within the euclidean sum
of vectors

* * * * * * * *w = u + v.

That sum can't still be experimentally distinguished from the sum
of rapidities

* * * * * * *arctanh(w/c) = arctanh(u/c) + arctanh(v/c).

In addition, we must also conclude that the relativistic Doppler

* * * * * * * *f' = Exp(-r) f ,
* * * * * * * *where r = arctanh(v/c),

can't still be experimentally distinguished from this one

* * * * * * * *f' = Exp(-v/c) f

Uhh, you do understand that v/c = tanh r don't you? *I didn't think
so.

Really?, didn't you?
Didn't *you realize that both v/c and its rapidity,
r = arctanh(v/c), currently are experimentally
indistinguishable?

You must understand that if I know one of them, I know both of them.
So what is your point?

The point is that you can't know both of them.
How do you know that v/c is the beta you
have measured for a moving body, but it is
not its rapidity r = arctanh(v/c). Error bars
on (v/c ± d) do not allow you to discriminate
v/c from its rapidity beyond its second-order
term.

Now you're just being either silly, stupid, or both. *I don't need to
measure both of them. *Or maybe you haven't noticed that they are
functions of each other?

It's unnecessary to blurt out curses. I have not
said you need to measure both of them,
I've said that if you measure v/c, its error bars
make its rapidity useless for relativistic corrections,
for example relativistic addition of velocities.

You like to spout gibberish.