Re: Special Relativity is saved from collapse by means of silly algebraic tricks



On 31 ene, 17:16, Randy Poe <poespam-t...@xxxxxxxxx> wrote:
On Jan 31, 10:47 am, Albertito <albertito1...@xxxxxxxxx> wrote:

Take a set S of vectors, define a binary operator *, try to see
whether
S is an algebraic group. If S is not a group, then the binary operator
is
not the operator we were expecting. How can we save S?,

From what?

We must
find another operator, say a gyration, such that S is now a
gyrogroup,

Yes, yes, you learned some words from that math
paper even if you only dimly perceive what they
mean.

Now, let's suppose that paper was never written.

What is this "collapse"? What's going to happen
to SR if it turns out that you have a vector operator
that doesn't form a group on the vector space of
velocities?

- Randy

Elementary, my dear Randy. It happens that in SR you
initially take a Minkowski spacetime which does not rotates,
and the result, once you've added two velocities by means
of Einstein addition, is a Minkowski spacetime that has rotated
exactly by an amount that Thomas precession can described.
How can that be?.

.