Black Hole and NASA Challenge: The Hurricane Eye Cst=0 with Area 1.2e19 m² - How it is Born at 0.37 Gyr, Lives by K1, Dies by 3 Ways, and 10 Falsifiable Predictions for 2027-2035 - Kamal Ben Khadem, El Birine

FOR PHYSICISTS - V2 *Definition of Spacetime Currents Cst:* Einstein said: the faster you go, the slower time flows. I, Kamal Ben Khadem, say: the slower time flows, the faster you go - to correct the theory, therefore I discovered Spacetime Currents. The Universe is like a great Ocean, Spacetime Currents Cst form around any mass, time slows down by its mass but surrounding spacetime keeps its original path, so a collision occurs, like a person falling with a parachute, the wind beneath pushes him upward. Title: Spacetime Currents Cst - A Viscous Ocean Model for Black Hole Lifecycle Author: Kamal Ben Khadem, El Birine, Djelfa, Algeria DOI: 10.5281/zenodo.23223540 (V1) → V2 with this abstract Constants locked: K0=4.5×10⁻¹⁹ m²/kg, K1=1.2×10⁻²¹ m⁻¹, Φ0=2.76%, νc=1.82×10¹⁷ m²/s 1. Definition of Spacetime Currents Cst: We postulate spacetime is a viscous fluid with velocity field Cst(r,t) [m/s²]. The observed orbital velocity is: v²_obs = GM/r + Cst(r,t)·t Where: Cst(r,t) = (GM/r²)[1 + K0·M/r²·t0/t] + K1·r • K0 is micro-viscosity from S2 star precession anomaly around Sgr A*: Δ=12.20'-12.10'=0.10' → K0=4.5e-19 m²/kg. It creates a dimensionless wall thickness Φ0=K0·M/Rs²=2.76%. • K1 is macro-current from SPARC flat rotation curves: V²=GM/r + GM·K1 → K1=1.2-3.0e-21 m⁻¹, universal, no dark matter. • t0/t is thermal factor, t0=13.8 Gyr. Early universe t≪t0 was warm, t0/t≫1, BH formation easy. When K0=K1=0, Schwarzschild GR is recovered. 2. Black Hole as Hurricane: Horizon condition: integrated current over light-crossing time Cst·(r/c) = c → Rs(t) = 2GM/c²·(1+Φ0·t0/t) Inside, Navier-Stokes ∂Cst/∂t + (Cst·∇)Cst = νc∇²Cst + Φ0·g gives: Cst_inside = c·(r/Rs)[1 - Φ0·Rs²/r²] regularized as c·(r/Rs)·exp[-Φ0(Rs²/r²-1)] Boundary: Cst(Rs)=c (wall), Cst(0)=0, ∇Cst|0=0. No singularity, tidal acceleration ∇Cst·L → 0 at center. Eye defined by Cst=0: r_eye = Rs·√Φ0 = 1.96×10⁹ m for Sgr A* (Rs=1.18×10¹⁰ m) A_eye = πΦ0Rs² = 1.207×10¹⁹ m² = 23,670 Earths = 2.76% Ahorizon For r K0·M/r² → r_shear=(K0·M/K1)1/3=98.6 AU. S2 at 120 AU lives in shear zone. 4. Ten Falsifiable Challenges to NASA: Old 5: 1. GRAVITY+ 2027: S2 counter-wobble 0.007" at 98.6 AU. 2. EHT 2028: polar outflow at Sgr A* 8,280±300 km/s (Fermi Bubbles). 3. Rubin 2029: Boötes Void expansion -2,840 km/s (white-hole exit). 4. LIGO O5: non-spinning (a<0.2) mergers radiate 0.22 Msun only. 5. Probe 2035: eye traversable, area 1.2e19 m². New 5: 6. JWST 2027: z>10 galaxies excess Δv=K1·D. 7. Euclid 2028: lensing deficit 2.76% (Φ0). 8. CTA 2028: Fermi Bubbles line at 25.9 MeV = Φ0·mp·c². 9. LISA 2035: echo Δt=2·r_eye/c=13 s. 10. Planck 2027: CMB ΔT=Φ0·TCMB=0.075 K colder toward Boötes Void. All numbers locked, no free parameters after V1. If any fails at >3σ, model dead.*Definition of Spacetime Currents Cst:* Einstein: faster -> time slows. Kamal Ben Khadem: time slows -> speed increases to correct equation. Equation: Cst(r,t) = GM/r² [1+K0·M/r²·t0/t] + K1·r Correction law: v_obs = v_Newton + Cst·t v_obs² = GM/r + Cst·r When t ↓ (time slows), t0/t ↑, Cst ↑, v ↑ to compensate. Black Hole Eye: Cst=0 -> r_eye=Rs·√Φ0=1.96e9 m Outflow: v_out=Φ0·c=8,280 km/s Locked: K0=4.5e-19 m²/kg, K1=1.2e-21 m⁻¹, Φ0=2.76%. 10 FALSIFIABLE CHALLENGES TO NASA - Kamal Ben Khadem DOI: 10.5281/zenodo.23212744 - Locked: K0=4.5e-19, K1=1.2e-21, Φ0=2.76% 1. GRAVITY+ 2027: S2 wobble 0.007" at r_shear=98.6 AU 2. EHT 2028: Sgr A* polar outflow 8,280±300 km/s 3. Rubin 2029: Bootes Void expands -2,840 km/s 4. LIGO O5: non-spinning BHs radiate 0.22 Msun only 5. Probe 2035: Eye 1.2e19 m² traversable 6. JWST 2027: z>10 galaxies Δv=K1·D 7. Euclid 2028: lensing -2.76% 8. CTA 2028: Fermi line 25.9 MeV 9. LISA 2035: echo 13s after merger 10. CMB 2027: ΔT=0.075K to Bootes If any fails, I retract. For more information, please visit this link https://doi.org/10.5281/zenodo.23223540 Kamal Ben Khadem, El Birine