The Ladder from the Singularity: Every Fermion in Order, Why the Light Ones Ride Out, and One Ladder Read Two Ways

We step the temperature down from a black-hole singularity and list every fermion and atom in the order it comes free, then answer a question the framework kept tripping on: a fermion is far smaller than a hydrogen atom, so why does it sit at the outside of the atom rather than at the centre? Both readings are true at once and they measure different things. A fermion really is nearer the Planck floor — the electron's Compton wavelength stands 154.0 steps above it against hydrogen's 162.9. And it is held at the outside of the atom precisely because it is light: confining it to the Bohr radius costs 13.6 eV against a Coulomb pull of 13.6 eV, and those balance, which is what sets the radius. Squeeze it to proton size and holding it costs eV against a pull of . Finally we show the length ladder and the temperature ladder are one ladder: the offset between them is 5.3030 steps for every particle from the electron to the top quark, with a spread of — a constant, and therefore the in the Compton wavelength rather than physics. That is PROBLEMS P1's identity T/f appearing as geometry. [identity] 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.