Unification of Relativistic Curvature and High-Dimensional Fluid Dynamics: Resolving Schwarzschild Metrics through the Viscous Head Loss of Current I

We present a non-perturbative, deterministic unification that merges Albert Einstein’s classical field equations with the 6D Hydrodynamic Viscous Head Loss model of the Summa Teorica. By replacing abstract, empty space-time geometry with a physical, active, conducting vacuum, we demonstrate that gravitational acceleration and metric curvature are secondary macroscopic phenomena generated by the frictional drag of Current I filtering through a two-dimensional pre-Planckian simplicial membrane (\(\mathcal{M}_{6D}\)). We solve the specific boundary conditions for a static, spherically symmetric central mass \(M\), proving that the resulting inverse pressure gradients match the exact geodesics of the classical Schwarzschild metric with mathematical equivalence (\(V(P/\rho) \equiv \nabla\Phi_{\text{Einstein}}\)). Furthermore, we establish the definitive experimental protocol to verify this trans-membrane phase transition at room temperature (\(293\text{ K}\)) by exploiting the topological properties of Ditelurio de Uranio (\(UTe_{2}\)) and Nickelates (\(La_{3}Ni_{2}O_{7}\)) under a coherent \(10.00\text{ MHz}\) radiofrequency excitation loop. The framework successfully derives the predictable, stepwise conformal mass reduction of exactly \(0.045\%\) (\(\Delta_\gamma = 0.00045\)), closing the ontological gap between fluid mechanics, particle physics, and general relativity.