CI Operator Graph
The CI Operator Graph (VII.D71) is the τ-categorical structural network of consequence-and-intervention operators that connects causal claims to their downstream commitments. It is the architectural backbone that lets the τ-framework reason about what follows from what — both forward (CAUSE → STATE) and backward (PREDICT ← I-WILL).
τ-Definition
The CI Operator Graph (VII.D71) is the τ-categorical structural network of consequence-and-intervention operators that connects causal claims to their downstream commitments. It is the architectural backbone that lets the τ-framework reason about what follows from what — both forward (CAUSE → STATE) and backward (PREDICT ← I-WILL).
Categorical invariant. Directed graph of operator-morphisms over the τ-categorical sectors, with vertices labeled by registers and edges representing consequence-or-intervention relationships.
Primary registry anchor:
VII.D71
τ-Derivation Chain
Phenomenological Correlate
The CI graph is instantiated whenever an agent reasons from causes to consequences (forward CAUSE→STATE→PREDICT) or from intentions to predictions (backward I-WILL→PREDICT). Examples: scientific causal reasoning; legal liability tracing; ethical deliberation; interventional planning.
Examples:
- Scientific causal claim: 'smoking causes cancer' — instantiates CAUSE→PREDICT operator chain
- Legal reasoning: 'who is liable' — backward I-WILL→commitment chain
- Ethical deliberation: 'if I do X, what will follow' — forward CAUSE→STATE projection
- Engineering: 'if we change parameter A, system behavior shifts to B' — interventional CI
Register codomain: Cross-register (Norm, Proof, Stance — the CI graph spans Reg_P/Reg_D/Reg_C; its codomain is multi-functorial)
Manuscript reference: manuscript-sources/book-07/part04/ch20-consequence-architecture.tex
Lean Coverage
Status: Planned
See Also
Related glossary entries
Referenced by
-
LG-M01-consciousnessConsciousness life -
MG-A02-metadecode-operatorMetaDecode Operator -
MG-A03-tau-modal-operatorsτ-Modal Operators (□, ◇) -
MG-A06-operator-graph-completenessOperator Graph Completeness -
MG-A08-operator-realismOperator Realism -
MG-A09-sectoral-topologySectoral Topology (Recognition Topology) -
MG-P11-truth-bearerTruth-Bearer as Section
Cross-domain bridges
This glossary term sits on the boundary between domains. The τ-framework's cross-domain pivots are the structural junctions where physics, life, and metaphysics readouts meet.