MATHEMATICAL PROOF OF 'WHY AN ELECTRON CAN NOT SPIN!' (analogous to planetary axial motion)) !!!

Let's just take a rotating ball analogy !! Seriously...

The electron can be thought of as a tiny stationary particle that is rotating on its own axis with an angular velocity of ω. The material on the torus of the electron is moving at velocity v=ωr ≤ c, where c is the speed of light.

The classical spin angular momentum is then

S= r*p

where p is the linear momentum 

p = γ*m。*v

γ is the relativistic factor 

So we get the spin angular momentum S :

Now, let's take r--->0 (spinning pointlike electron or a dot spinning on itself).
Is it possible to apply it in the above equation such that it gives some constant spin angular momentum?

Let's try, shall we?

we take v=ω*r---> c (speed of light)
This makes the relativistic factor go to infinity.
So, we get S as a non-trivial constant.

by this we get

BINGO!!
The limit r--->0 then gives ω--->∞ , v--->c (γ--->∞) and S a constant!!

All of this non-trivial solution is possible due to relativity (gamma factor).

This is the same kind of non-trivial relativistic solution that you get for a massless particle:
m。---> 0, using the energy and linear momentum:
𝑚 0

m→0

Now let's see the consequences of this!!!

According to this model 'r' cannot be zero so electron cannot be turned into a pointlike particle!!

Let's calculate the minimum radius to generate the spin angular moment that is generated by an electron:

So in order to generate the experimental spin, an electron must have a radius that is larger than the atom itself!! which is clearly not the case!!
SO AN ELECTRON DOES NOT OR CANNOT SPIN ON ITS OWN AXES!!
IMPLIES SPIN AS AN INTRINSIC PROPERTY OF MATTER!!