Spin: a property that will fuck your brain (Patreon)

An ordinary person thinks: if a particle is small, it spins like a ball.
But no. Spin is not rotation.
It is a built in property of matter, like gender that cannot be changed:
for the electron it is always 1/2
for the photon it is always 1
for the Higgs boson it is 0

Now the trick, you will freak out:
The electron has spin 1/2. This means that to return it to the same state you need to rotate it not by 360° but by 720°.
Yes, this bastard requires two full turns to “feel the same again”.

Imagine a chair:
you rotate it once around and it is still “not the same”.
Another full turn and only then it matches.

Welcome to quantum reality where geometry goes to fuck...

Remember the Möbius strip?
Yes, it is very similar to this example.

There is also the Pauli rule: no two electrons can sit in the same quantum “bed” if they have the same spin.
Yes, same sex relations are forbidden here...
If not for this rule, we would not have chemistry atoms planets and you would be reading this post out of a black quantum mush.

But the Pauli rule works only for fermions that is particles with fractional spin. 1/2 3/2 and so on.
Matter is made of fermions so structure is needed.

And bosons do not give a fuck at all they do not form familiar matter. That means our whole body is made of fermions. Quarks also have fractional spin.

And next time I will tell you about wave functions and how spin is related to this.
Maybe later about symmetry groups too...