The Proton as a Stable Informational Node BKT-37

The BKT–37 publication presents a formal physical analysis of the proton as a stable relational structural node within the LOM–GTSFC–USC–GTCW framework. The purpose of the work is not to replace quantum chromodynamics, the Standard Model, or established nuclear physics, but to construct an additional formal layer that makes it possible to examine whether, after subtraction of the null model, identifiable, orthogonal, and statistically controlled residuals remain that are consistent with the interpretation of the Universal Structural Code. The core of the article is the transition from an intuitive description of proton stability to a mathematical physical apparatus based on the relational state space, the tolerance metric, the nonclosure tensor, the closure tensor, the observable projection, and the criterion of the residual orthogonal to the null model. In this approach, the proton is not treated as a list of independent substances or as an object contradicting quantum chromodynamics, but as an ordered relational structure whose observable properties may be analysed through projection onto physical quantities. The work introduces the formal notation of the proton relational state (N_p), the proton structural invariant (\mathcal I_{\mathrm{str}}^{(p)}), the Mahalanobis metric (\delta^2=\Delta^T\Sigma^{-1}\Delta), the nonclosure tensor (D^a{}{b}), the multichannel closure tensor (C{\mathrm{multi}}), the null model projector (P_0), and the orthogonal residual (R_{\perp,\mathrm{USC}}). These elements form a common test structure in which the USC interpretation can be compared with quantum chromodynamics, quantum electrodynamics, the weak sector, nuclear models, and experimental data. The publication integrates the formal and numerical results from Annexes BKT–37A and BKT–37B. Particular emphasis is placed on the sectoral results of the USC projection model in ATLAS (W^+W^-) data, the metrological anchors of hydrogen and deuteron, scalar compatibility estimators, and the alpha block covering the channel (^{108}\mathrm{Xe}\to{}^{104}\mathrm{Te}\to{}^{100}\mathrm{Sn}). All results are classified according to their epistemic status: as literature data, computational results, model estimators, formal anchors, or candidate sectoral signals. The main conclusion of the work is that BKT–37 strengthens USC as a testable residual formalism above QCD/SM, but does not present USC as an empirically confirmed fundamental theory of the proton. Full physical support requires further validation through covariance matrices, comparison with the null model, out-of-sample tests, correction of global statistical significance, and independent replication in experimental data.