I am greatly interested in learning how spinors, antimatters surface out after solving Dirac Equation. Let’s use the simplest case, rest frame to start.

The full positive-energy solution is

So the final complete wavefunction solution is

It contains the 4 dimensions to describe the quantum state of the particle/wave/quantum and turns out it’s a spinor due to above deduction.

Next we need to connect this formal solution to measurable physics where energy momentum position quantities can be observed, measured and predicted.