Subjectivity-Intersection Braid Quantum Gravity: From a Finite Quantum Source to Lorentz Spacetime, Einstein Dynamics, and Matter Structure

We present Subjectivity-Intersection Braid Quantum Gravity as a mathematical quantum-gravity candidate that generates quantum structure, Lorentz spacetime, gravitational dynamics, and matter representations from a finite pointed-Braid source typed as subjectivity intersection. Version 0.97 preserves the verified v0.96 theorem chain, including the four-direction Lorentz carrier, continuous metric and nonmetricity, exact finite four-component Ward balance, iterated CPTP backreaction, the scoped Einstein infrared equation G=(3/5)T, ADM/HDA-BFV constraint structure, continuum-dynamic convergence, finite quantum reconstruction and control, derived matter representations, and the registered E016 CKM derivation confirmation. It adds a source-derived internal neutral M3(C) operational sector with scalar commutant, source-ordered unitary propagation with unequal phase gaps and a nonzero CP-odd invariant, a refinement-invariant finite screen, and a source-normalized fixed-boundary Misner-Sharp spectrum. The clock-screen modular generator has rank-four response, while the minimal parity/reflection plaquette is exactly trivial in all eight sectors, preserving an explicit no-go boundary on absolute SI calibration. Empirical PMNS agreement, absolute neutrino masses, a source-derived Newton constant, global strong-curvature completion, independent CKM replication, and experimental confirmation of quantum gravity are not claimed.