The Aldred Open Problems — Volume One

This volume states seven problems that the author's Einstein–Cartan cosmology corpus has priced but not closed, in a form intended for outside attempt. Each problem is given with the record evidence that it is open, the partial results the corpus holds at that address, the obstruction results that fence it (roads the corpus has already closed, published as Papers #8, #9, #52, #70 and in the campaign kill log), and verification criteria fixed in advance. The seven are: (OP-1) a derivation of δ = 11/400, the unproduced residue factor in 3Ω_Λ = 2.000000 × (1 + δ), or a proof that it cannot follow; (OP-2) the vacuum conversion itself — a production of s/a_cell = 1/(4ℓ_P²) from inside the frame, the corpus's headline standing at NOT SOLVED / PARTIAL with producing-count 0 and Lock 1 open at 121.5 dex; (OP-3) a derivation of the seam identity whose value, Δp/ρ_A = 2.000000, the corpus produces dial-free while grading the identity itself Not Derived (Paper #94); (OP-4) the torsion-ring plasma container's interface I-4 — a demonstrated ring-plasma centering channel, or a computed obstruction; (OP-5) a price for the spin-coherence number 𝒩, on which the corpus's bounce is conditional (𝒩 ≈ 1–2 at the published numbers; 𝒩 ~ 10³⁸ under fixed-length coherence, in which case there is no bounce); (OP-6) the single owed datum Θ(recombination) for the boundary rotation channel, against a registered target band of [0.252°, 0.432°] that is a target and never an input; and (OP-7) a perturbation spectrum propagated through the bounce, n_s and A_s derived, the heaviest priced debt in the corpus. Submissions are graded under the volume's sealed criteria: target consultation converts a derivation to a fit, a derived production out of band is a loss printed at the same size as a solve, and partial credit is denominated in each problem's own sub-items. The volume is published by Aldred Industries as an open challenge; the author's deposited corpus is indexed at https://daveexolex.com/papers/.