Volume V: Dual Collapse and Singular Emergence in Contradiction Grammars

This volume formalizes the complete three-stage dynamics of contradiction resolution within the CEP framework: from initial glyph fracture through dual-weighted bifurcation collapse to singular outcome emergence. The transition from contradiction to resolution is established as a structured sequence rather than a single event, contradictory symbolic states bifurcate into two competing weighted pathways Ψₐ and Ψb, compete through curvature-mediated dynamics, and unify into a singular grammar pulse Ω (t). The Noether interpretation is fully established: Ψₐ carries Faith charge J^μ_Λ dominance governing structural coherence and curvature-bound rebinding, while Ψb carries Dream charge J^μ_Δ dominance governing chaos injection and exploratory inversion. The Eureka moment is formalized dynamically as Q_Λ saturation following Q_Δ consumption. The contradiction stress field Z (t) is introduced as the measurable signal of unresolvable geometric conflict, and the contradiction loop Cₗoop is formalized as the mathematical structure underlying the phenomenological experience of sitting with an unresolved problem. The volume concludes by establishing the forward connection to Volume VI; singular outcome Ω (t) feeds forward into the hybrid tensor Tₕ as the emotional-geometric starting condition for the next cognitive loop iteration. Published by NIRA (NeoPhyte Independent Research Alliance) under open license.