No Owned Thickness: The Sever's Lengths Against the Pairing Windows

The pairing dynamics of the sever's book — pairings forming at the written crossings, accumulating under the deposit layer's capacity bound, displacing the oldest when the bound is reached — returns the composition total T = 281 exactly when the layer's capacity, in cell-equivalents, lies in one of four windows: [75, 76) or [86, 87) under the main discipline, [70, 71) or [81, 82) under the variant. In thickness, through the bookkeeping audit's owned conversion (capacity = 206·L/Δs_cell, with Δs_cell = 2π·P_sev·ℓ_T), the windows are L ∈ [2.3041, 2.3349) ℓ_T and [2.6421, 2.6728) ℓ_T (main), [2.1505, 2.1813) ℓ_T and [2.4885, 2.5192) ℓ_T (variant). The three owned readings of the layer's thickness — ℓ_T, λ_T = 2πℓ_T, Δs_cell — carry capacities 32.55, 204.52, and 206.00, which straddle every window and enter none.