Consensus Collapse and Social Fracture: Field Dynamics of Dominant Core Death and Multi-Core Competition

This chapter is the mirror of Social Chapter 8 (Consensus Formation), addressing the dynamics of Dominant Core disintegration and death. The central claim is that the direct dynamic condition for consensus collapse is not the influx of heterogeneous information but the sustained rise of the social field’s internal fragmentation (Frag) causing the Co-Nucleus decay rate to exceed the deepening rate: Decay(Core_S) > CrossCpl_mean · FamOverlap_mean · φ_{F_S}. The paper strictly distinguishes two paths of dominance failure: Death(Core_S) (δ < θ_dominance, absolute depth decay) and DominanceLoss(Core_S) (∃ Core_k: K_k ≥ K_S, relative competitive failure), both of which can drive the social field into a multi-core fractured state through different mechanisms. The paper derives the fragmentation dynamic equation dFrag/dt ∝ CoreParity · [1 − FamOverlap_mean(Core_i, Core_j)] · SubSuppress_mean, identifies three paths of consensus collapse (external shock, internal erosion, multi-core competition positive feedback) and three outcomes of Sub-Core competition, and proves three theorems: (1) Consensus Collapse Tendency Theorem; (2) Sub-Core Fracture Stability Theorem; (3) Old Nucleus Residual Constraint Theorem (δ_res^C means no consensus replacement begins from a structural zero point). The chapter closes by pointing toward power field dynamics: after consensus collapse, the social field does not immediately disintegrate, but enters a competitive state of multiple Sub-Cores contesting continuation flow dominance — a state that under certain conditions acts upon the power field and ultimately triggers revolution.