B10: BRISM - A Structural Interface Framework for Quantum Measurement and Cross-Scale Phenomena, Born Stability, π-Geometry, and a Minimal SU(5) Correction for α⁻¹ in the IR

BRISM (BRane Interface Substrate Model) is introduced as a structural interface framework for quantum measurement and cross-scale phenomenology. Under phase neutrality, positivity, σ-additivity, and Naimark–Stinespring completeness, the Born quadrature emerges as the unique stable interface density. Within the same axioms, a unique additive π-structure X = 4π³ + π² + π arises, reproducing the infrared fine-structure constant with 99.9998% accuracy already at first order. A parameter-free inverse-suppressed refinement, X − 1/(24X), further improves the agreement to the 10⁻⁹ level via a minimal SU(5) algebraic completion. A fixed S² projection scale ε = 1/π² ensures cross-scale coherence and matches dwarf-galaxy core profiles without parameter tuning. The framework remains IR-focused and non-dynamical; no closed identity for α⁻¹ or full RG treatment is claimed. An outlook highlights how the holographic organization of interface degrees of freedom may naturally relate to large-scale expansion without introducing additional fields. *** For the current consolidated overview of the BRISM framework, readers are referred to: *** *** BRISM after Ten Months: Status, Claims, Tests, and Future Directions. ****** https://doi.org/10.5281/zenodo.23495535 ****** This article represents the most up-to-date overview of the BRISM research program and serves as the primary review and status paper of the series. ****** Further BRISM articles and preprints can be accessed through the author’s ORCID profile: ****** https://orcid.org/0009-0008-7503-6012 ***