If a vector is an arrow, a spinor is something more subtle—like the "inner state" of that arrow.
However, if you rotate a 360 degrees, its mathematical sign flips (it becomes negative). Clifford Algebras and Spinors
The classic way to visualize this is the (or Dirac’s Belt): If you rotate an object 360 degrees, it looks the same. If a vector is an arrow, a spinor
If a vector is an arrow, a spinor is something more subtle—like the "inner state" of that arrow.
However, if you rotate a 360 degrees, its mathematical sign flips (it becomes negative).
The classic way to visualize this is the (or Dirac’s Belt): If you rotate an object 360 degrees, it looks the same.