IndisputableMonolith.Aesthetics.NarrativeStructureFromF2Cube
This module equates the seven Booker stories to the seven nonzero vectors in the three-dimensional vector space over F2. Researchers working on Recognition Science aesthetics cite it to ground narrative classification in the F2^3 geometry that arises from the eight-tick octave. The module supplies a collection of definitions together with the explicit cardinality equality bookerCount_eq_F2cube_minus_one.
claimThe set of Booker stories satisfies $|B| = |F_2^3setminus{0}| = 7$.
background
The module resides in the Aesthetics domain and introduces NarrativeAxis as coordinate directions in the F2 cube, NarrativeAssignment as functions assigning stories to these axes, and BookerStory as the subset of narratives satisfying the IsBookerStory predicate. The auxiliary definitions neutralNarrative and bookerStoryCount supply the counting mechanism. The central equality bookerCount_eq_F2cube_minus_one then identifies this count with the cardinality of the nonzero elements of F2^3, consistent with the eight-tick octave (period 2^3) of the forcing chain.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the certified narrative structure that downstream aesthetic results rely upon. It realizes the 7-fold distinction directly from the F2^3 geometry, thereby embedding the D=3 spatial dimension of the forcing chain into the classification of stories. NarrativeStructureCert and narrativeStructureCert are the immediate objects that later theorems invoke to certify assignments.
scope and limits
- Does not derive the seven Booker stories from an independent literary analysis.
- Does not extend the correspondence to narrative structures outside the F2^3 cube.
- Does not link the construction to mass formulas or physical constants.