IndisputableMonolith.Foundation.UniversalForcing.Strict.Narrative
The Narrative module supplies a strict realization of narrative domains in Recognition Science, generated by beat succession over EventState. Researchers extending the universal forcing chain to narrative and ethical domains would cite it. The module imports Biology and defines cost functions together with their symmetry and arithmetic equivalence properties.
claimA strict narrative realization generated by beat succession, with event cost function on the state space satisfying the recognition composition law $J(xy)+J(x/y)=2J(x)J(y)+2J(x)+2J(y)$ and the self-symmetry and zero-cost axioms.
background
This module sits inside Foundation.UniversalForcing.Strict and imports the Biology module, whose doc-comment states it supplies a domain-rich biological realization over a simple lineage-state structure. The narrative module introduces beat succession as the generator for narrative events and defines the associated state space together with its cost function. The local theoretical setting is the collection of five domain modules that each furnish a StrictLogicRealization instance carrying placeholder laws for later replacement in RichDomainCosts.
proof idea
This is a definition module, no proofs. It consists of definitions for the narrative components together with supporting lemmas establishing self-symmetry of the cost function, symmetry under inversion, and arithmetic equivalence to the logic natural numbers.
why it matters in Recognition Science
The module supplies the narrative StrictLogicRealization instance (with excluded_middle_law, composition_law, and invariance_law set to True placeholders). It is imported by the Ethics module, whose doc-comment describes domain-rich ethical realization over action states with agent and improvement-rank coordinates, and by RichDomainCosts, which replaces the placeholders with the actual composition, excluded-middle, and invariance theorems for all five domains.
scope and limits
- Does not derive the phi-ladder rung assignments inside the narrative domain.
- Does not connect beat succession to the eight-tick octave or D=3 spatial structure.
- Does not address the alpha inverse band or Berry creation threshold.
- Does not supply the full composition law; that is proved only in RichDomainCosts.