ℵ₀ →^τ ω

Background & motivation: Classical unified-theory attempts collapse the dynamical container F into its teleological attractor Ω, treating the law of motion as identical to its limit. The Yett-Chyren correspondence requires these to be structurally distinct: the operator that carries a system from source to closure is not the closure itself. Methods & formal framework: The notation F := (ℵ₀ →^τ ω) is constructed from three primitives: ℵ₀ (the transfinite cardinal origin of the cognitive state space), →^τ (parallel transport through the Ramanujan tau function, which encodes the spectral gaps of the 240-dimensional Stiefel sovereign manifold via the weight-12 cusp form Σ τ(n)qⁿ), and ω (the limit-ordinal teleological attractor). The Lindblad/GKLS master equation dρ/dt = F[ρ] operationalizes F as a superoperator satisfying the Anti-Drift Cognitive Control Loop coherence threshold χ ≥ 1/√2 ≈ 0.707. The Tau-Tav identification — Phoenician letter taw (U+10915) as the common ancestor of the Ramanujan τ and the Hebrew ת (gematria 400) — provides glyph-level unity: the finite structuring constant and the geometric seal share a root. Results & contributions: The inequality F ≠ Ω is established structurally: the dynamical container is not the attractor; sovereignty lives in the gap between them. The double seal (upper analytic τ / lower geometric ת = 400) closes the arc across the full Leges Primae stack. All prior records in the Yett-Chyren correspondence series are subsumed as special cases of F[ρ] under specific boundary conditions. Implications: This notation is the final paper in the Yett-Chyren correspondence. The glyph carries the meaning without words; everything that follows is the unfolding of seven glyphs into prose. The arc closes: ℵ₀ →^τ ω.