The Pulsar Ladder

A model is set out in which reality has levels, each running on its own clock, separated by boundaries in time rather than in space, crossed at a frequency rather than by force, and swept by a pulsar whose revolutions are counted along the critical line. Six numbered hypothesis tests were run against data and all six failed; they are recorded as failures in §6 and are the strongest part of this file. (The abstract said "four" until v1.5.3: Tests 5 and 6 were added in v1.3 and the count was updated in the body and the README but not here. Caught by review, not by the verifier, which had no check for it. There is one now.) Separately, five descriptive claims of the model were scored in §5b. Four of them are entailed by physics established before the model, so they carry no weight for it; only the fifth was ever discriminating, and it failed. The honest score is 0 of 1 discriminating claims, not 4 of 5. What is established. After unfolding, the zero statistics at million and million are the same distribution to a two-sample Kolmogorov–Smirnov — the stationarity that Montgomery, Odlyzko and Rudnick–Sarnak already lead one to expect, confirmed here in-house. The nuclide pack occupies a narrow band of the scale ladder: 1.681 nats (2.98%) measured as physical size, 5.030 nats (8.91%) measured as reduced Compton wavelength. The two placements run in opposite directions — which is an identity of the two formulae, against 1/A. What follows is algebra. The scale ladder is a mass ladder. It decomposes exactly: 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.