IndisputableMonolith.Foundation.UniversalForcing.NarrativeRealization
NarrativeRealization module treats narrative as beat-count comparison inside the Universal Forcing hierarchy. It imports the interval-step carrier from MusicRealization and supplies cost and interpretation functions on narrative beats. Researchers tracing the forcing chain to ethics or other realizations cite it for the required identity and step structure. The module contains only definitions and one arithmetic equivalence.
claimNarrative realization is realized by beat-count comparison, with main objects $NarrativeBeat$ (carrier), $narrativeCost : NarrativeBeat \to \mathbb{N}$, $narrativeInterpret$, and the equivalence $narrative_arith_equiv_nat$.
background
The module belongs to the Foundation.UniversalForcing layer and imports MusicRealization. That upstream module states: 'Lightweight musical realization: the carrier records interval steps. The semantic reading is pitch-ratio stacking; the forced arithmetic is the iteration count of interval composition.' NarrativeRealization applies the same lightweight pattern to narrative beats. Sibling declarations introduce NarrativeBeat as the carrier type together with cost, symmetry, and interpretation functions.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the narrative layer required by EthicsRealization, whose doc-comment states: 'Lightweight ethical realization: the carrier is the count of morally meaningful improvement steps. The domain theory of ethics is not rebuilt here; only the identity/step comparison structure needed by Universal Forcing is formalized.' It therefore closes one realization branch of the Universal Forcing construction.
scope and limits
- Does not rebuild a full domain theory of narrative.
- Does not connect beats to physical constants or T0-T8 chain steps.
- Does not prove uniqueness or fixed-point results.
- Limits scope to beat-count arithmetic and one nat equivalence.