All electrons have spin 1/2, that’s a property of it being an electron. They have a spin vector (the arrow shown) and whether it is in the same direction or opposite direction to the magnetic field it’s in determines where it is plus or minus.
Now you might think “but what if it is not entirely aligned with the field, then it wouldn’t be 1/2”, which is true, on aggregate for large numbers of electrons, but if you ever look at a single electron its spin will either be “up” or “down” never any other orientation.
This is the kind of thing people are referring to when they say “no one understands QM”, we know it is the case, we can measure it and predict it, but it makes no fucking sense.
All electrons have spin 1/2, that’s a property of it being an electron. They have a spin vector (the arrow shown) and whether it is in the same direction or opposite direction to the magnetic field it’s in determines where it is plus or minus.
Now you might think “but what if it is not entirely aligned with the field, then it wouldn’t be 1/2”, which is true, on aggregate for large numbers of electrons, but if you ever look at a single electron its spin will either be “up” or “down” never any other orientation.
This is the kind of thing people are referring to when they say “no one understands QM”, we know it is the case, we can measure it and predict it, but it makes no fucking sense.