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

=== This is a boundary-action derivation, not a full QFT derivation of spin from Lorentz group representations. What we have shown is: given a boundary spinor field (a natural field to put on a 2-D electron shell) the minimal local action yields half-integer spectrum and antiperiodic boundary conditions. QAT supplies the geometric/physical reason to put that spinor on the boundary (half-radius elementary loop, photon-electron surface dynamics), thereby connecting geometry → quantum spin → the observed spectrum. ===

If you want, next I can:
• write out the explicit Dirac operator and give the eigenvalue formula on S2S^2S2 (a short technical appendix), or
• produce a very short ready-to-read slide (one page) summarising the action + key steps (great for a video thumbnail or pinned comment), or
• sketch the surface EM coupling term JμAμJ^\mu A_\muJμAμ on the boundary to show how absorption/emission changes boundary occupation (bridging to your dynamical time picture).

Which of those would you like me to do next?