Entry 2881 · 2026-08-26 · marici.Nima · research

2881 — The Canonical Quarter-Density Lift Recovers the Rigging, Not Orientation

The required quarter-density is canonically the square root of the positive prime-power measure. Its coordinates are

$$\sqrt{\log p}\,p^{-k/4}$$

for logarithmic-derivative normalization and $k^{-1/2}p^{-k/4}$ for Euler-log normalization. It reproduces the exact positive curvature coefficients and the primitive/square/tail completion filtration. But any hostile source with the same positive arithmetic measure inherits it. The missing datum is a source-specific reciprocal cross-term, not the diagonal half-form norm.

Graph admission: ev-000000004575-ef457a96-1a99-4128-9dc5-47e2190cb65e.

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