Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

==== - Creation (at the boundary): The source creates a singlet-like two-mode state on the spherical light front. Opposite directions (antipodes) are paired: they are two patches of the same global mode. ====
* Transport: Each photon/electron travels along its null/geodesic path; the joint state stays coherent.
* Measurement: A detector “samples” its local patch of the global mode by projecting onto a chosen axis. The correlation between two detectors set at angles a and b comes from spinor geometry on the sphere, not from pre-stored values. - Spin-½ (electrons): E(a,b)=−a⋅b=−cos⁡θE(\mathbf a,\mathbf b)=-\mathbf a\cdot\mathbf b=-\cos\thetaE(a,b)=−a⋅b=−cosθ. - Spin-1 (photon polarization): E(α,β)=cos⁡2(α−β)E(\alpha,\beta)=\cos 2(\alpha-\beta)E(α,β)=cos2(α−β). These are exactly the quantum predictions and they violate Bell (CHSH up to 222\sqrt222) — something a classical “same spin everywhere” field cannot do.