Transient Topological Intersections: Wormholes as "Tree Branches" in a Nested Multiverse

This paper proposes a novel framework for understanding theoretical wormholes not as intra-universe shortcuts, but as temporary topological intersections between distinct, expanding child universes. Expanding upon the Evolutionary Superfluid Cosmology hypothesis, we postulate that expanding child universes may experience boundary interactions that create transient bridges analogous to metaphorical "tree branches." We define two distinct formation mechanics: Type I (Merger-Induced) resulting from the mechanical fusion of parent singularities, and Type II (Strain-Induced) resulting from the non-local Topological Rupture of the parent universe's superfluid vacuum under extreme inflationary pressure. By calculating the Yield Strength ($\kappa$) and Elasticity of the vacuum fabric, we formalize the mechanism by which mutual expansion forces inevitably stretch and sever these connections. This framework provides a robust resolution to the Causality Loop Paradox of traditional Einstein-Rosen bridges by demonstrating that these structures are inherently unstable and transient. We provide full mathematical formulations for scale factors, formation thresholds, throat decay, and the ultimate temporal lifespan of these inter-universal intersections.