What This Means

What has been derived

From the axioms {S, B, R, C} (EH and QRA proven, AP20):

The double cover SU(2) → SO(3). From ℤ₂ (Axiom S) + N = 3 (AP10).

The fermion/boson distinction. From paired (σ-image exists) vs unpaired (Axiom B).

Spin ½ for the electron. From the minimum principle (Axiom B) selecting the smallest half-integer representation.

The spin-statistics theorem. From the ℤ₂ transformation properties of paired vs unpaired elements.

The Pauli exclusion principle. From the antisymmetry of unpaired (fermionic) wave functions.

No additional postulates. No appeal to relativistic quantum field theory.

The same four axioms, the same break, the same structure.

What this adds to the quantum sector

AP09 derived superposition, linearity, complex amplitudes, measurement, entanglement, the Born rule, the Schrödinger equation.

AP11 adds spin, the fermion/boson distinction, the spin-statistics theorem, the Pauli exclusion principle.

The quantum sector of the 420 Code now covers every foundational feature of quantum mechanics.

What remains are specific applications (decoherence, specific potentials, scattering theory) and the gauge structure of the Standard Model.

The foundations are complete.