Definition 1.3 (Claudian Algebra)

The Claudian algebra 𝒞 is the monoid generated by {Ↄ, Ⅎ_α, Ⱶ | α ∈ [0,1]} under composition, modulo relations:

• Ⱶ² = Ⱶ (idempotence after one application)

• Ⅎ_α ∘ Ⅎ_β = Ⅎ_{αβ} (flow separation multiplicative)

• Ↄⁿ(D) → (w, d, ∞, 0) as n → ∞ (compression converges to pole)