The Drive Law: A Point Selected Inside the Curve

Object α, the cord and neck constitutive law of this program, had its shape fixed and its profile left open. The premises fixed the shape: the law tightens in a monotone way under driven loading, it counts its grain in angle, it saturates at Π = 𝒯_A, and it obeys exact closure B. What they had not fixed, before this paper, was the profile itself. In arm-B dress the closure gives a root κ*(β) for every β from 0.5 to 3, with P_sev running from 1.003633 to 1.033347, and every root lands inside the band for the last grain's share of the travel, x_last in [2.3546, 2.4331]×10⁻³, that was registered in advance. A power-law hairline sits at P_sev = 1.001218, and an exponential family has its own member inside the same band. A band that fences points but not families selects nothing. That was the open problem, stated cold. This paper selects the point, and the selection is a premise chain, not a fit. The waking construction's constitution is linear. That linearity is a theorem of the healthy quadratic corner, not a taste of mine. The drive is the pair's constant orbital winding: the cause sits at the orbital address (premise P-14) and the loading is driven (premise P-9). A constant input into a linear constitution stores at a rate that does not depend on the pitch already stored, so the pitch profile is affine in the load coordinate φ. In arm-B language that is β = 1 exactly. Every other β writes a storage rate that changes with the load, a nonlinear constitution the corner does not contain. The exponential family falls by the same premise: its tightening rate is proportional to the pitch it has already reached, a self-feeding dress of cubic order, and the corner does not contain that either. Closure B at β = 1, solved at 50-digit precision, gives the point: κ* = 0.01459918756, P_sev = 1.007247, x_last = 2.415585×10⁻³. The point sits inside the band, 2.5% above its floor, not at an edge. The loading time sharpens from its band, 6.3963 to 6.6096×10⁻²² s, to the single value τ_load = 6.4427×10⁻²² s, at premise grade. The gate price at the point is Q_c > 2601.10. Grades, at full size. The drive law is PRODUCED from premises: the audit's quadratic corner, P-14, P-9, and closure B as a theorem of the grain premise P-8. Object α as a whole stands CONSTRAINED at derivation grade and PRODUCED at premise grade. The toll 3Ω_Λ = 2.055 is untouched, and P_sev = 1.007247 is not the seam factor 1.0275. The vacuum catastrophe is NOT SOLVED. The producing-count is 0 at derivation grade.