A field must connect. The MeshEngine names the generative mechanism through which a corpus produces its own internal connections: not by design from above, but by emergence from below. In network theory, a mesh is a topology where every node connects to multiple others, creating redundant pathways that ensure robustness. In the Socioplastics architecture, the mesh is not a metaphor. It is the structural condition that allows the field to survive the failure of any single node. The MeshEngine makes this explicit. It identifies the rules of mesh generation: how does a new node connect to existing nodes? What determines the density of connections? What is the optimal mesh density for a field of this size? The rules are structural. A new node connects to existing nodes based on shared CamelTags, shared scalar levels, shared thematic clusters, and shared disciplinary fields. The density is determined by the field's growth rate and its conceptual diversity. The optimal density is the point at which robustness is maximized without redundancy becoming noise. The MeshEngine is not a passive condition. It is an active operation. It is what the field does to itself as it grows. Node 2506 places this concept in Core IV because mesh generation is a field condition, not a conceptual content. It is the mechanism that transforms a collection into a network. Without this concept, the field is a set of isolated points. With it, the field is a web.