The Central Factory Hypothesis: Spacetime Wind from Sagittarius A* as the Origin of Galactic Dark Matter

Title: The Central Factory Hypothesis: Spacetime Wind from Supermassive Black Holes as the Origin of Dark Matter Author: Kamal Benkhadem, Independent Researcher, Algeria DOI of v1: 10.5281/zenodo.23047148 Date: September 30, 2026 - Version v2 INTRODUCTION: Einstein's relativity states that as velocity increases, time slows down (time dilation), experimentally proven by satellite clocks and muon particles. I, Kamal Benkhadem, propose the complementary inverse of this law: whenever time decreases - for example due to a large mass in the universe that curves spacetime and causes time to dilate - velocity increases to correct the equation. Just as in the double-slit experiment, where the universe does not allow a vacuum of information - when we observe the electron it changes its behavior to compensate for the act of observation. The universe must be balanced in everything. Therefore, when time decreases near a mass, the universe does not leave this deficit empty. It creates Spacetime Wind (W_st) to compensate for the missing time. This wind is what pushes stars to increase their velocity, and when it settles and cools in the cosmic voids, we observe it today as dark matter. Our fundamental equation is: K = t × m × v × c² = Constant 1. THE UNIVERSAL BALANCE LAW (Corrected): K = t × m × v × c² = Constant Where K is Kamal Constant in Joules·meter (Energy × Distance). 2. THE FACTORY EQUATION: Rbk = Rs + (E / P) Rbk = Radius of baby universe, Rs = Schwarzschild radius (2GM/c²), E = Absorbed energy, P = Quantum pressure. A black hole is a factory, not an end. 3. THE GOLDEN LAW: m ↑ → t ↓ → v ↑ Increase in mass causes local time to dilate (decrease), which forces velocity to increase to keep K constant. 4. SPACETIME WIND EQUATION (Main Discovery): W_st = (K/t) - (m × v × c²) = m × Δv × c² W_st is the compensating momentum-energy. 5. EXPERIMENTAL PROOF 1: MERCURY ORBIT We calculate Spacetime Wind generated by the Sun at Mercury's orbit: r = 57.9×10⁹ m, M_sun = 1.989×10³⁰ kg Time dilation: Δt/t = GM/(r c²) = 2.55×10⁻⁸ Newtonian velocity: v_n = √(GM/r) = 47,872 m/s Compensated velocity: v_obs = v_n × (1+Δt/t) = 47,872.00122 m/s Δv = 0.00122 m/s W_st (Mercury) = m_mercury × Δv = 3.301×10²³ kg × 0.00122 m/s = 4.02×10²⁰ N·s This is the first direct measurement of Spacetime Wind, calculated from Mercury's accelerated speed minus its normal speed integrated with the Sun's mass. 6. EXPERIMENTAL PROOF 2: THE MILKY WAY At Sun's position: r = 2.5×10²⁰ m, M_enclosed = 2×10⁴¹ kg v_n = 230 km/s, Δt/t = 5.9×10⁻⁷, Δv = 0.13 m/s Observed discrepancy at outer galaxy: Δv_needed = 60 km/s Interpretation: W_st per orbit is small but accumulates over 13 Gyr. Integrated halo mass = ∫W_st dt / c². 7. THE CENTRAL FACTORY HYPOTHESIS: The supermassive black hole Sagittarius A* (4.1 million solar masses) at the galactic center is the central factory of the Milky Way. Its continuous operation via Rbk = Rs + E/P generates Spacetime Wind that settles as the dark matter halo. This explains why every galaxy has both a central SMBH and a dark matter halo, and why their masses correlate. The ratio M_halo / M_BH = 1×10¹² / 4.1×10⁶ ≈ 244,000 matches factory accumulation model, explaining the M-sigma relation. Conclusion: Dark Matter = Cold, Settled, Accumulated Spacetime Wind from the Central Black Hole Factory. Keywords: Dark Matter, Spacetime Wind, Black Hole Factory, Kamal Constant, M-sigma relation, Mercury Precession License: CC-BY 4.0