Transient Topological Intersections: Einstein-Rosen Bridges as Topological Tethers in a Nested Multiverse

This paper establishes a hydrodynamic framework for evaluating theoretical Einstein-Rosen bridges not as traversable intra-universe shortcuts for interstellar transit, but as transient topological boundary interactions between distinct, newly nucleated (child) universes. Expanding upon Evolutionary Superfluid Cosmology, we postulate that expanding nucleated universes may experience highly volatile boundary interactions, generating transient conduits that function as volatile hydrodynamic capillaries. We mathematically model two specific formation mechanisms: Type I (Merger-Induced) resulting from the kinematic fusion of binary progenitor (parent) black holes, and Type II (Strain-Induced) resulting from the non-local tensile fracture of the progenitor universe's superfluid vacuum under extreme inflationary stress. Governed by the divergent vacuum energy densities (Cosmological Constants) of the respective spacetimes, macroscopic expansion scalars inevitably subject these connections to critical tensile failure. This framework physically resolves chronological causality paradoxes (such as Closed Timelike Curves) without the need for exotic matter, proving these topological tethers are inherently unstable. We provide rigorous mathematical formulations for the initial intersection radii, kinematic throat decay, maximum temporal lifespan, and the resulting empirical forensic signatures (CMB thermal scars and asymmetrical gravitational shear waves) left upon the observable metric.