>>11881010Maybe you could add that the different kinds of particles (classified by their spin) are related to the lorentz group.
To explain: groups can be used to mathematically describe symmetries; you can see them as sets of operations that one can perform (e.g. the group C4 consists of rotations of 90, 180, 270, and 360 degrees, all of which leave say a square invariant; so a square has a C4 symmetry.)
Now, the group that describes rotations and changes of velocity in spacetime is called the lorentz group. Particles can be classified by how they behave when you act on them with the elements of this group (e.g. a scalar such as the Higgs boson does nothing). From this you also get spinors (spin 1/2), vectors (spin 1) etc.
Tbh this is not so straightforward, because it is actually the other way round (the representation of the group determines the kind of particle).
Tl;dr: Spin is an attribute of how a particle couples to spacetime.