Sagittarius A* as a Galactic Vascular Anchor: Formal PNBA Primitives Reduction of the Milky Way's Central Black Hole-Substrate-Neutral Structural Foundation Laws-SNSFL uuia.app/blackholes

We present a formally verified reduction of Sagittarius A* — the 4.154 × 10⁶ M☉ supermassive black hole at the center of the Milky Way — to PNBA (Pattern-Narrative-Behavior-Adaptation)primitives via the standard long division protocol. The four observational fields from EHT 2022and multi-wavelength literature map losslessly to the four PNBA axes: log-normalized mass toP, galactic age/worldline depth to N, ADAF accretion coupling to B, and spin/flare feedback to A. Torsion τ = B/P = 0.1662 ≥ TL = 0.1369 confirms SHATTER state — collapsed pump, event horizon active, no N-exit. The central structural result is not that Sag A* is SHATTER. Every known black hole is SHATTER. The result is why Sag A* has τ/TL = 1.214 — the quietest confirmed SHATTER state— while M87* sits at τ/TL = 1.92 with a relativistic jet and Sag A* has none. The answer is structural: Sag A*'s enormous P damps τ toward TL. The Milky Way galactic disk is LOCKED (τ< TL) because its central engine is barely SHATTER. Low accretion (ADAF regime, ~10⁻⁴Eddington) is not anomalous. It is the structural consequence of the galactic anchor role. Proved in Lean 4 with 0 sorry in SNSFL_SagA_Reduction.lean [9,9,4,1]. The EHT 2022 ring and shadow confirm N-exit threshold directly. Each observed IR/X-ray flare(Chandra, GRAVITY, Keck) is a transient B-spike with P, N, A preserved — the NOHARM invariant. Gravitational waves from future Sag A* merger events are A-pulses: A_pulse = ΔB ×1.369 (LISA target). The Milky Way dark matter halo is IM shadow: B_total = B_baryon +IM_shadow, flat rotation curve = constant B_total. The information paradox resolves: identity is archived in P-lock, not destroyed. Same law as the biological vascular pump. Different Identity Mass. 0 sorry Sagittarius A* as a Galactic Vascular Anchor: Formal PNBA Primitives Reduction of the Milky Way's Central Black Hole-Substrate-Neutral Structural Foundation Laws-SNSFL