TUM paper 65 : Interactions of Everything Occurring in the Vacuum - Dark Matter as Geometric Ash and the Coherence Law

Unified manuscript TUM Paper 65 v4. Experimental derivation of Tb = Tt * (mR^2/I + 1). Dark matter reinterpreted as geometric ash: topological residue of Super-Fluid / Super-Gas interaction at T=0 with entangled inversion. The +1 term is a Berry phase (n=1), physical vacuum support. The model explains flat galactic rotation curve without particulate dark matter, spiral arm dynamics via Ampère's Law (F/L = mu0*i1*i2/2pi*d) and quantum Skin Effect (delta_skin), and rapid celestial formation. Validations: - Sun's orbit: Tb=225 Myr (7:2 ratio, solid sphere), Tt=64.28 Myr, Tcycle=787.5 Myr - NGC 1052-DF2 / DF4: Thermodynamic switch, Landau criterion v_rel > v_crit, F_+1=0 - GRB 221009A (BOAT): UHE photon survival via low-loss SARE conduits - M87 Jet: 27-year VLBA observations as macroscopic Ampère current - 3I/ATLAS: Coherence ejection, planetary formation in hours - Includes Technical Addendum of Rigor: Berry phase derivation, Psi point coordinates r_Psi, SARE frequency omega_SARE=3.09e-15 Hz, operational expansion of F_+1