Project RHEOS: Principia Hydrodynamica & Fundamenta Physica

Project RHEOS: Non-Perturbative Unification & Nuclear Geometry Abstract: This work proposes a unified Effective Field Theory (EFT) framework based on a superfluid vacuum with Dirac-Born-Infeld (DBI) dynamics. Numerical minimization identifies the baryon number $B=4$ sector (Alpha particle) as a topological defect with cubic symmetry ($O_h$, "Melissa Phase"), suggesting a geometric architecture for nuclear matter. Furthermore, the model analytically derives the $10^{40}$ hierarchy between strong and gravitational forces as a direct consequence of vacuum scale separation, recovering General Relativity as an induced interaction (Sakharov's mechanism) in the infrared limit.