Technical Supplement: The Flamson kF Metric (v2)

This Technical Supplement (v2) provides the formalized mathematical derivations for the Flamson kF Metric, establishing a non-singular resolution for Super and Ultramassive Black Holes (S/UMBHs). Following the theoretical foundations established by the author in January 2026, this document derives the 0.1867 structural yield constant and identifies the 1.12 r_s sub-shadow stability regime. These results facilitate the Cosmological Mass-Injection (CMI) framework, presenting a manifold-recycling model that resolves the r=0 singularity into a stable dimensional rift. Forensic Priority & Metadata: This document serves as a formal priority lock for constants and mechanics finalized in the author's technical archives on February 25, 2026. It expands upon and references the primary body of work archived under ORCID: 0009-0004-2550-486X. Key scientific contributions include: Derivation of the 0.1867 structural yield threshold. Analytical basis for the kF High-Visibility Python Simulation. Formalization of CMI mechanics as an alternative to classical Big Bang singularity models.