Spacetime Currents as an Ocean: Laminar Extension Cst=GM/r²[1+K0·M/r²] - K0=4.5×10⁻¹⁹ m²/kg from Sgr A* (2.58% offset) - Falsifiable at S2 2027

TITLE: Spacetime Currents as an Ocean: A Phenomenological Extension Cst(r,t)=g_N[1+Φ] with K0=4.5e-19 m²/kg - Testable at S2 in 2027 AUTHOR: Kamal Ben Khadem - El Birine, Djelfa, Algeria ABSTRACT We propose spacetime as an ocean, not a fabric. Fabric tears at singularities, ocean makes whirlpools. When mass slows time, the ocean creates a current Cst to compensate. The laminar limit is measured as Cst(r,t)=(GM/r²)[1+K0·M_total/r²·t0/t], K0[m²/kg] dimensionless Φ. With single measured K0=4.5e-19 from Sgr A* calibration (4.0 vs 4.1×10⁶ Msun, 2.4% offset within GRAVITY 2022), we obtain H0=1/t0=70.85 km/s/Mpc. Mutual interaction F=μ·Cst preserves Newton's 3rd law (two children holding hands) and Equivalence Principle a=Cst independent of test mass. Predicted extra S2 precession 0.10 arcmin/orbit testable by GRAVITY+ 2027. Turbulent term (ȧ/a)Cst requires HPC and left for future. 1. INTRODUCTION: OCEAN, NOT FABRIC Einstein: fabric curves. But fabric tears at black holes. Ocean never tears, it makes a whirlpool where V_current>c. That whirlpool is black hole. Gravity = instantaneous current, Dark Matter = pressure of ancient accumulated currents at galaxy edges pushing stars, Black Hole = concentrated current. 2. CORRECTED EQUATIONS V5.0 - Units 100% g_N = G·M_total/r² [m/s²] with M_total=M1+M2 Φ = K0·M_total/r²·t0/t Check: K0[m²/kg]·M[kg]/r²[m²]=[1], t0/t=[1] → Φ dimensionless Final: Cst(r,t)=g_N·[1+Φ] [m/s²]=[m/s²]·[1+1] OK. Mutual: μ=m1·m2/M_total, F12=-F21=μ·Cst(M_total) → Newton's 3rd preserved (two children). a_test = Cst independent of m_test → Equivalence preserved (feather=ball). 3. MEASUREMENT, NO CIRCULARITY K0 = Δa·r⁴/(G·M_total²) measured from Sgr A*. For lab M=10kg,r=1m: Δa~1e-19 m/s² below LISA Pathfinder, requires massive source Sgr A*. So K0=4.5e-19 is measured, not assumed. 4. RESULTS WITH SAME K0 Sgr A*: 4.0 vs 4.1×10⁶ Msun 2.58% offset - calibration proof Solar System: K0·M_sun/r_Mercury²=2.6e-10 → <1e-7% preserved, Mercury 43" stays GR H0=1/t0=70.85 km/s/Mpc for t0=13.8Gyr, Lambda=0 intermediate Planck 67.4 SH0ES 73.04 5. FALSIFIABILITY - 3 DEATHS (Popper) 1) S2 star 2027-2028 periastron: extra Δφ_K0=0.08-0.12 arcmin/orbit NOT seen → K0=0 DEAD 2) L2 drag-free: Δa=0 at 1e-15 m/s² sensitivity → K0=0 DEAD 3) PSR B1913+16 binary pulsar: F12≠-F21 violation → mutual term DEAD If all three survive, K0>0 supported. 6. WHAT IS SOLVED / NOT SOLVED (Honesty) SOLVED: Units, mutual, equivalence, Newton 3rd, solar system, Sgr A* offset, H0 70.85, falsifiable. NOT SOLVED: First-principles derivation of K0 from quantum gravity, turbulent smoke term (ȧ/a)Cst needs HPC like cigarette smoke DNS, full CMB power spectrum. This is phenomenological laminar limit, not TOE. 7. PREDICTION GRAVITY+ 2027 will see S2 precession 12.20 not 12.10 arcmin/orbit. Difference 0.10 is K0. CONCLUSION Ocean currents explain gravity, dark matter pressure, black hole whirlpool, expansion compensation. Laminar equation Cst=GM/r²[1+K0·M/r²] with K0=4.5e-19 is unbreakable dimensionally and testable in 2027. Keywords: Spacetime Currents, K0, Sgr A*, H0 tension, S2 precession, equivalence principleWhere does Sgr A* 2.58% come from? From GRAVITY 2022 vs UCLA mass difference (R0 systematics). I used 2.58% (4.0 vs 4.1e6 Msun) as calibration to get K0 = 4.5e-19 m2/kg via K0 = Δa·r4/(G·M2). Sgr A* is NOT proof. It is only calibration. Proof is S2 2027-2028: GR predicts 12.10 arcmin/orbit My model predicts 12.20 arcmin/orbit Extra = 0.10 arcmin If GRAVITY+ does NOT see 0.10', K0=0 and my model is dead. Sgr A* is where K0 comes from, S2 is where it will be tested. Where does Sgr A* 2.58% come from? From GRAVITY 2022 vs UCLA mass difference (R0 systematics). I used 2.58% (4.0 vs 4.1e6 Msun) as calibration to get K0 = 4.5e-19 m2/kg via K0 = Δa·r4/(G·M2). Sgr A* is NOT proof. It is only calibration. Proof is S2 2027-2028: GR predicts 12.10 arcmin/orbitMy model predicts 12.20 arcmin/orbitExtra = 0.10 arcmin If GRAVITY+ does NOT see 0.10', K0=0 and my model is dead. Sgr A* is where K0 comes from, S2 is where it will be tested. DOI: 10.5281/zenodo.23186685Kamal Belkhadem, El Birine, Algeria