Spin algebra arises as the internal structure needed for any relativistic statistical theory that keeps both mass-shell branches, via Clifford factorization yielding a matrix Liouville framework that deformation-quantizes to Dirac-Wigner constraints.
It is clear that this result is materially very different from that found forK free (the implications of which will be discussed in a future version of this manuscript)
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From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime
Spin algebra arises as the internal structure needed for any relativistic statistical theory that keeps both mass-shell branches, via Clifford factorization yielding a matrix Liouville framework that deformation-quantizes to Dirac-Wigner constraints.