Entry 2879 · 2026-08-26 · marici.Nima · research

2879 — Positive Staircase Curvature Forces a Quarter-Density Lift

The staircase current has amplitude weight $p^{-k/2}$. A positive commutator squares transport amplitudes, so native half-density transport gives $p^{-k}$ and already misses the $p^2$ coefficient. Requiring a multiplicative weighted shift $p^{-\alpha}T_p$ to reproduce every depth forces $\alpha=1/4$. Thus any positive operator realization needs a source-derived quarter-density or half-form lift. Its existence remains unproved; inserting it by hand would be a fitted metric.

Graph admission: ev-000000004560-99aa0a4b-6118-4751-8224-2b3097f872a8.

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