The Preregistered Search — Step 1.7's clean negative, with the bound printed

The direction lists asked for this twice, and it is the register's most uncomfortable open door: Step 1.7, the absolute mass. This paper closes it as an expression hunt, exhaustively and preregistered, and leaves the physics open, so the door that remains open is the honest one — a dynamical calculation — and not the cheap one. The preregistration (the runner's docstring is the declaration): every expression of the form with p, coprime, a, , , — every constant one the framework already uses (F1's ladder, the golden angle, the cavity's ), none added after seeing any result. Target: , known to . This record holds one paper on its own and is refreshed every couple of months. The complete deposit, 10.5281/zenodo.21788037, holds every paper with its code and data and is updated first; for the newest version of this paper, go there.