The Barrier Law: Why the Neck Does Not Leak

Take a neck of light. Wind it to a set angle and hold it there. Wheeler asked whether such a thing, a geon, can hold at all, and in the bare version it cannot: it leaks away in about one crossing. This paper asks the same question inside a frame that keeps a torsion ledger, and it asks the question in a priced form. Show me how the neck leaks, and state what any answer must beat. At the drive point the waking equation selects, the price is Q_c > 2601.10. In plain terms, the neck's confinement quality has to suppress the bare geon's leak by a total of 7.3144 nats, which is 0.017797 nats for each of the store's 411 grains, against a bare twin whose quality factor is only √3. I compute the leak species by species. Every drift species fails, and fails by arithmetic rather than by taste. What survives is a barrier: a species where decay is forbidden outright or paid for in an exponent. In the phase-slip dress, unwinding a single grain costs an action built from the frame's own numbers, and the cost clears the price with a margin near 10^35.7 in the exponent. Along the whole load the barrier stands at no less than 97.1 percent of its value at the gate, and it is strongest exactly at the gate. The grades, at full size. The barrier law is CLOSED AT PREMISE GRADE. It rests on a named premise, the tube constitution of the neck, stated as a premise in this paper and not smuggled in as a result. The vacuum catastrophe is NOT SOLVED. The toll, 3Ω_Λ = 2.055, is untouched. Keywords: Einstein–Cartan gravity; torsion; geon; confinement; Aldred Limit.