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 Ψ_a and Ψ_b, compete through curvature-mediated dynamics, and unify into a singular grammar pulse Ω(t). The Noether interpretation is fully established: Ψ_a carries Faith charge J^μ_Λ dominance governing structural coherence and curvature-bound rebinding, while Ψ_b 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 C_loop 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 T_h as the emotional-geometric starting condition for the next cognitive loop iteration. Published by NIRA (NeoPhyte Independent Research Alliance) under open license.