Subjectivity Intersection Mathematics: A Common Pointed-Braid Source for Quantum History and Lorentzian Geometry

Version 0.2 extends the fixed-finite pointed-braid quantum-geometry construction with an explicit complete PBM-BIX finite realization, certified nonzero detector and clock bounds on a finite interval, and a restricted nonzero same-source neighborhood with cometric re-identification. It also reduces spatial PCMT profile freedom inside the selected homogeneous sector and reconstructs an internal quaternion, SU(2)/Bianchi-IX and screen-orientation structure under explicit completion and chart assumptions. The results remain conditional and mathematical; they do not establish empirical quantum gravity, physical topology or handedness, Braid necessity, SIC/O3, subjectivity, or consciousness.