[24]Connectivity Geometry: Topological Curvature Bubbles and Engineering Benchmarks for Interstellar Travel

Interstellar travel within the framework of traditional general relativity (such as the Alcubierre warp drive) faces a fatal bottleneck: achieving superluminal travel requires an enormous negative energy density. Based on the framework of "connectivity geometry," this paper proposes a purely topological physical benchmark for interstellar travel: the generation of a curvature bubble does not originate from externally applied exotic matter, but from a "topological fracture" of the underlying discrete spin network. When the local connectivity around the spacecraft is intentionally severed, the Laplacian term of the effective metric curvature naturally gives rise to an equivalent energy polarization shell. This paper presents the effective energy density expression required to maintain the topological fracture and proposes a clear falsifiable experimental prediction.