Structural Banding and Connectivity in the Cosmic Web

Observations of large-scale structure reveal that matter in the universe is not distributed isotropically, but organized into a persistent network of nodes, filaments, and voids commonly referred to as the cosmic web. This organization is routinely described using graph-based language, including connectivity, skeletons, and filamentary corridors extracted from density fields. While gravitational dynamics successfully model the subsequent evolution of matter within this structure, the origin and persistence of such differentiated connectivity patterns remain conceptually underexplored. In this work, we argue that the cosmic web reflects structural banding: a differentiation of admissible motion and connectivity that precedes force-driven collapse. Within this framework, filaments correspond to structurally permitted corridors of flow, nodes to regions of reduced recoverability where accumulation becomes persistent, and voids to regions of low admissibility. Matter does not collapse arbitrarily under gravity; rather, it preferentially accumulates where structural differentiation constrains reconfiguration. This interpretation reframes large-scale structure as a consequence of connectivity constraints established prior to dynamical evolution, with gravitational forces acting primarily to guide matter along pre-existing structural pathways. By focusing on structural banding and recoverability rather than force summation, this work provides a structure-first perspective on why accumulation occurs where it does, while reserving a deeper treatment of mass itself for subsequent analysis.