Constraints

Formal theory of constraints as structure-preserving functors over deontic modalities

Core Definition

A constraint is a functor mapping structural contexts to deontic outcomes:

C : (Σ × A) → Δ

Where:
  Σ = Simplicial complex (structural context from ontolog)
  A = Action/state space
  Δ = Deontic modality {P, O, F, I, ?}

Constraints shape possibility spaces without adding energy—they are rate-independent causes that determine what can happen without forcing any particular outcome.