The Spin Rig's Paper Trail

SIMULATED, NOT MEASURED — every performance figure in this paper is a simulation output or arithmetic on simulation outputs. Nothing has been built, spun, or measured, and the fabrication gate stands: nothing is ordered, machined, or fabricated until money earned by my own work exists to cover it, a gate this paper prints on its face and does not argue around. This paper is the paper trail of a design consequence. My corpus's spin line — the postulated two-valued spin evaluated in CC-129 (DOI 10.5281/zenodo.23998541), and the Aldred Limit's spin-density bound, ρ_A = 9.7×10⁵⁴ g/cm³ for neutron matter (deposit DOI 10.5281/zenodo.23850767) — poses a laboratory question that is mechanical, not gravitational: can a rotating rig be designed whose own dynamics are clean enough, on paper, that spin-coupled physics could one day be asked of it? Package A2, the Spin Rig design of record (DOI 10.5281/zenodo.23809726), is my program's answer at design grade. I report that answer whole, from the package's own files: the C-2 concept clears every pre-registered graded line in the sim of record (seed 20261030, n = 4,000 draws) with P(pass all graded lines) = 1.000 — eccentricity p95 of 0.020 mm against a 1.0 mm line, a margin of 50.000×; worst transient peak 0.026 mm against a 2.0 mm step line, 76.923×; carrier runout worst draw 0.083 mm against a 0.5 mm line, 6.024×; critical-placement minimum margin 1.457×. The C-1 concept, as originally dimensioned, does not clear: P(critical inside the staircase) = 0.64675 and P(critical on a dwell) = 0.2165 stand as the registered exposures that the Oct 30 revision (Fix A+B) answers. And the package carries one known sim defect, disclosed in this abstract because it belongs at full size: the sim file's slip sub-check, `slip_check()`, omits the `size` argument in its draws and therefore evaluates one seeded point, not 4,000 — its printed percentiles collapse to a single value, 1.861×. A vectorised check-of-the-check in the package returns minimum margin 1.697×, median 2.419×, P_slip = 0.0 at n = 4,000, matching the Oct 30 dossier, so the graded conclusion is unchanged; the defect damages the file's ability to re-derive its own slip line, and its repair — restoring `size=n`, a one-line fix — stands recommended and unperformed in the package of record, a status I print rather than tidy away. Grade for this design paper, printed at full size: DESIGN STATED AT SIM GRADE / NOTHING BUILT — the rig is a verified design against its own registered lines, SIMULATED, NOT MEASURED throughout. The program headline stands unmoved: vacuum catastrophe NOT SOLVED / PARTIAL, producing-count 0.