Seam Budget Explorer

The seam budget Δκ = R·τ_R − (D_ω + D_C) must reconcile to |residual| ≤ tol_seam. Explore the cost functions, credit mechanisms, and the pole structure that governs the boundary between return and permanent detention.

Si τ_R = ∞_rec, nulla fides datur. — If return time is infinite, no credit is given.

Budget Parameters

ω (Drift)

0.150

C (Curvature)

0.10

R (Return credit)

0.50

τ_R (Return time)

∞_rec (no return)

κ_ledger

0.00

Budget Breakdown

Drift Cost Curve Γ(ω)

Γ(ω) = ω³ / (1 − ω + ε). Monotone increasing with a pole at ω = 1. The frozen exponent p = 3 yields ω_trap = 0.6823 (Cardano root of x³ + x − 1 = 0).

Cost Anatomy

Three cost functions govern the seam. The budget Δκ is their net balance.