For over three centuries, dating back to Sir Isaac Newton, astrophysics has treated gravity as a static, geometric given. While Albert Einstein's General Relativity excels at calculating orbital mechanics, effectively teaching us how to drive the car, it relies on an epistemological circularity, retroactively assigning invisible mass to force its equations to fit observations. It offers no physical insight into how the engine actually works. Under the Electron Flow Model (EFM) framework, gravity is not a passive warp in spacetime, but the literal mechanical drag and directional pressure of an ocean of vacuum flux rushing past atomic matter to fill a negative void. By replacing theoretical mass with observable physical structure, effective density ($\rho_{eff}$), and thermodynamic impedance ($\tau$), the EFM reveals the true mechanics of attraction. We introduce Micro-Kinetic Transfer, detailing how the continuous inward cascade of flux quanta imparts physical momentum to atomic nuclei via the Angled Jump mechanism. To govern this thermodynamic engine, we introduce the Unified Master Equation: $$g_{surf} = \left[ (\alpha G) \cdot \rho_{eff} \cdot R_{surf} \cdot \tau(T) - \frac{v_{rot}^2}{R_{surf}} \right] \cdot \Omega_{shield}$$ In this milestone publication, we deploy this single fluid-dynamic algorithm across an unprecedented 64-Body Grand Computational Atlas. For the first time in astrophysics, the EFM's Multiaxial Mara Scale maps the active gravitational gradient from the center core all the way into deep space across virtually every class of celestial body in the universe. This comprehensive ledger spans Main-Sequence Stars, Gas Giants, Superionic Ice Giants, "Forbidden" Exoplanets, Highly Oblate Rotators, Elongated Interstellar objects like `Oumuamua, Black Holes, and a Dark-Matter-Deficient Galaxy. Pushing the engine to its absolute limits, the EFM effortlessly scales from the microscopic quantum threshold of a laboratory-engineered Giant Superatom, all the way to the ultramassive event horizon of TON 618 (66 billion solar masses). Furthermore, by mapping the overlapping volumetric cascades of Markarian 501, the EFM provides the first mechanistic fluid-dynamic resolution to the "Final Parsec Problem" of Merging Supermassive Black Holes. Crucially, the EFM elevates itself from a theoretical framework to a Strictly Falsifiable Science. Using its own native geometric parameters, the model accurately reproduces the 1.75 arcseconds of solar light deflection and the 43 arcseconds per century of Mercury's perihelion precession—traditionally the exclusive domain of General Relativity. By achieving this purely through fluid refraction and asymmetric hydrodynamic drag, the EFM proves that "spacetime curvature" is an illusion. Furthermore, it predicts the Thermal-Proximity Flex: the intrinsic self-gravity of highly eccentric bodies, such as Comet 67P, will fluctuate measurably (~28.3%) between aphelion and perihelion due to solar flux stripping. Ultimately, this framework unifies physics by proposing that Gravity, Electricity, Magnetism, Lightning, and Plasma are not separate forces, but distinct thermodynamic behaviors of the same underlying vacuum flux, manifesting as inward pressure, rotational exhaust, and channeled current, respectively. The EFM provides a Mathematically Consistent, Geometrically Profound, and Rigorous Theoretical Framework for understanding the engine of the universe. The Unified Fluid Cosmos Framework: This paper serves as Manuscript 1 Version 44 in the comprehensive series, Marabūt's Theory of Gravity. It presents the Electron Flow Model (EFM), a generative, fluid-dynamic framework designed to fundamentally replace Albert Einstein's General Relativity and standard Quantum Mechanics. The EFM shatters classical circularity with a single, undeniable foundational premise: Gravity is Pressure, not curvature, and not an intrinsic mass property. Published Manuscripts in this Series: Manuscript 01: The Push-Pull Mechanics of Vacuum Flux (The Foundational Framework) — https://doi.org/10.5281/zenodo.18874694 Manuscript 02: Resolving the Weyl Potential Anomaly — https://doi.org/10.5281/zenodo.19784494 Manuscript 03: Mechanistic Resolution of Jet Deflection in Cygnus X-1 — https://doi.org/10.5281/zenodo.19790983 Manuscript 04: Quantum Mechanics of Stellar Chain Reactions and EVGS Formation — https://doi.org/10.5281/zenodo.19801398 Manuscript 05: The Heliospheric Grand Data Matrix — https://doi.org/10.5281/zenodo.20128776 Manuscript 06: Fluid-Dynamic Reinterpretation of Gravity, Black Holes, and Gravitational Waves — https://doi.org/10.5281/zenodo.20129518 Manuscript 07: Fluid-Dynamic Reinterpretation of the Kinematic Sunyaev-Zeldovich Effect — https://doi.org/10.5281/zenodo.20130259 Manuscript 08: Transcending the Singularity — Electron Void Gravitational Spheres — https://doi.org/10.5281/zenodo.20130801 Manuscript 09: The Final Parsec Problem Solved — https://doi.org/10.5281/zenodo.20134048 Manuscript 10: The Illusion of the Singularity — https://doi.org/10.5281/zenodo.20135533 Manuscript 11: The Illusion of Dark Energy — https://doi.org/10.5281/zenodo.20149141 Manuscript 12: The Illusion of Dark Matter — https://doi.org/10.5281/zenodo.20171372 Manuscript 13: The Illusion of Spacetime — https://doi.org/10.5281/zenodo.20172281 Manuscript 14: The Illusion of Spooky Action — https://doi.org/10.5281/zenodo.20173191 Manuscript 15: The Superluminal Mechanics of the Quantum Vacuum — https://doi.org/10.5281/zenodo.20173755 Manuscript 16: Empirical Validation of the Electron Flow Model — https://doi.org/10.5281/zenodo.20271062 Manuscript 17: Confronting the Cosmic Microwave Background — https://doi.org/10.5281/zenodo.20483713 Manuscript 18: Resolving the CMB Power Spectrum — https://doi.org/10.5281/zenodo.20493520 Manuscript 19: The Foundation of Stellar Dynamics — https://doi.org/10.5281/zenodo.20500168 Manuscript 20: Resolving the Black Hole Information Paradox — https://doi.org/10.5281/zenodo.20535631 Manuscript 21: Hydrodynamic Shockwaves and Wave-Particle Duality (Current Paper) — https://doi.org/10.5281/zenodo.20620456 Data & Code Availability: To accompany this manuscript, we have open-sourced the complete Python mathematical engine and a fully interactive 3D web-based simulation of the EFM Volumetric Profiler. Researchers, developers, and students can visually explore the hydrodynamic vacuum flux across the celestial bodies at: Interactive 3D EFM Volumetric Profiler: https://marabutmarabut.github.io/Theory-of-Gravity Official GitHub Repository: https://github.com/MarabutMarabut/Theory-of-Gravity