Network Spatial Credibility (NSC) under a Multiplex Gravitational Field: A Formal Adaptive Protocol for Heterogeneous Graph Topologies

Classical network centrality treats nodes as intrinsically meaningful and edges as static conduits, producing distortions in socio‑historical or narrative systems. This paper introduces the Network Spatial Credibility (NSC) protocol, an adaptive, multiplex framework built on five axioms, notably structural vacuity (nodes as empty containers) and relational endogeneity (edges as dynamic field outcomes).We model a multiplex gravitational field combining Sarnoff’s Law (dyadic gravity), Metcalfe’s Law (ambient friction), and a Gresham weighting mechanism that expels statistically anomalous relationships. The protocol separates micro‑statistics (Particular Case – raw local gravity) from macro‑statistics (General Case - consensus‑weighted mass), producing an Edge Surprise Index and a Global Standard Score to detect anomalies, hubs, and lateral agents.Group fragmentation follows Barabási scale‑free constraints and a homogeneous approximation of Reed’s Law () with Christaller crystallization. Crystallized communities dissolve via stochastic social temperature. Edges evolve logistically, conserving energy across layers. The protocol is implemented in Neo4j + GDS and calibrated via MLE.