I consider belief a feature of memory and recall which is anticipation. So, I don’t have issue with an electron hole anticipating an electron or waiting for an electron from which believing an electron will come is not any real kind of a stretch.
They’re certainly in the same family conceptually.
Consider want. Wanting is belief that there will be fulfillment possible from the older definition of want which is to lack.
To lack is to want. To lack implies there’s a potential to not lack.
The alternative to want is acceptance. It may be acceptance that is learning.