Photonic and Neutrino Relational Closure Channels as Surface and Deep Information Transfer Modes in the PJM–GTSFC–USC–GTCW Framework Technical and numerical annex to BKA–Y20

This technical annex BKA–Y20A develops the ontological and formal apparatus of BKA–Y20toward an operational comparison of two relational closure channels: the surface electromagneticchannel γ : e− and the deep weak-nuclear channel ν : N. The starting point is the hypothesisthat physical constants, masses, couplings and effective parameters may be treated formallyas scalar projections of stable coupling channels, not as primitive numbers without deeperrelational structure. The apparatus inherited from BKA–Y20 includes the projection operatorCeffi = ΠiKUSC, G, T,Φ, χ, s, κ,R; μ,B,U, the closure condition δX ≤ εX, and the relationinterlocking operator M(A,B) = exp−δ(A,B).The test system is the deuteron. The process p + n → d + γ represents electromagneticclosure, where the neutron already exists and the photon carries away the energy and momentumrequired for the transition to a bound state. The process p + p → d + e+ + νe representsweak closure, where the neutron must be created by a weak transformation and the neutrinocarries the chiral, flavor and leptonic information of that transformation. The annex does notassume a direct elementary photon–neutrino coupling. It assumes complementarity between twoprojection channels: surface and deep. The purpose of the document is to prepare an explicitmathematical and physical apparatus, reference tables, plots and PASS/FAIL criteria that allowobservable USC projections to be investigated without claiming full knowledge of the latentoperator KUSC. The document contains channel estimators, defect metrics, a complementaritymatrix with a small effective mixing parameter ϵγν ≪ 1, an effective Lagrangian with USCprojection, Planck-scale normalisation, a renormalisation analysis of projections and numericalcontrols for the QED, weak, QCD and comparative MSSM sectors. All numerical results havea projective and control status: they support falsifiability of the apparatus, but they are notpresented as a complete empirical confirmation of USC.