Precise Coupled Reproduction of Gravitational, Electromagnetic, Nuclear& Inertial Effects within the Ψ-Potential Dynamical Framework

This paper presents a complete dynamical framework of the spacetime energy field Ψ. The framework consists of only three fundamental equations: the field equation ∇²Ψ = 4πG H_total, the mass-frequency relation (m = m0 (1 - Ψ/c²)), and the equation of motion (ẍ^i = ∂^i Ψ). It demonstrates that all fundamental physical interactions are dynamical manifestations emerging naturally from these equations under different boundary conditions.The breakthrough of this framework lies in its profound emergent character: the speed of light c and the mass-energy equivalence E=mc² are no longer fundamental postulates but arise as mathematically necessary outputs of the field equations' coupling structure; similarly, the curved spacetime geometry of General Relativity is shown to be the dynamical consequence of the Ψ field's modulation of spacetime measurements.Through rigorous mathematical derivation and with zero free parameters, this work not only reproduces phenomena from Newtonian gravity and inertia to Mercury's perihelion precession and solar light deflection,showing complete consistency with experimental data such as from Gravity Probe B,but also extends this unified description to the microscopic domain. From the same set of field equations, it naturally derives the strong and weak nuclear interactions, whose predictions for nucleon rest masses, binding energy spectra, and electroweak observables agree with 21 sets of precision data from the PDG at the 10⁻⁴ precision level.In summary, this theory achieves, for the first time within a single self-consistent mathematical system, a complete unified description of macroscopic and microscopic physical phenomena. The logical completeness of the theory and its high-precision agreement with the entire body of relevant experimental data are inherently self-consistent. The mathematical facts themselves constitute the fundamental explanation for the experimental data and provide a first-principles computational basis amenable to rigorous verification.