The Fundamental Gravitational Field: A Continuous Mechanical Framework for Unifying Forces and Galaxy Dynamics (Version 5.0)

This paper presents a formal definition of the fundamental gravitational field (FGF) as the all-dimensional, non-particle elementary medium that forms the ultimate structural basis of reality. Classical physics often relies on hypothetical particles such as dark matter, gauge bosons, and “liquid vacuum” to explain cosmological mechanics. In contrast, this paper proposes a “particle-free” cosmological model governed by a continuous state of isotropic external tension. By treating the vacuum as a zero-outcome mechanical equilibrium state, this framework offers a unified physical solution to cosmological and quantum mysteries. This study mathematically demonstrates that cosmic gravity, the rotation curves of flat galaxies, and quantum forces are all unified solely by a localized angular momentum meter within a continuous substrate. Key Contributions:Unification of Forces: This research demonstrates that gravity is an intrinsic driving force resulting from the mechanical displacement of field dimensions, replacing traditional models of fluids or particles.Derivation of the Gravitational Constant: This research provides a precise mathematical basis for demonstrating that the gravitational constant (G) is an emerging scaling factor, directly relating the square of the angular velocity to the mass-energy density of an object.Galaxy Mechanics: This research offers a predictive mechanical alternative to dark matter, explaining the rotation curves of flat galaxies and the mechanical refraction of light across field density gradients. Experimental Verification: This research establishes specific and testable parameters, including anomalous gyroscopic precession and spin-lens heterogeneity, allowing the scientific community to experimentally evaluate the FGF theory in comparison to general relativity.Ultimately, the FGF framework acts as an absolute structural stage, where the behavior of all entities—from the subatomic scale to large galactic formations—is dictated by a single, ubiquitous mechanical structure.