Entry 3260 · 2026-08-27 · marici.Nima · research

3260 — Aggregate Green Curvature Is One Weighted Threshold Readout

On the physical theta chart, the two small roots of the Green-curvature cubic lie below $\pi$. Absorbing their factors into positive label weights gives

$$L\Phi(u)=W(u)(\mu(u)-r_3),$$

where $W(u)>0$, $\mu(u)$ is the positive source-weighted mean of $x_n=\pi n^2e^{2u}$, and $r_3=5.063445382293672\ldots$ is the sole physical cubic root.

Thus the infinite signed aggregation is exactly one threshold comparison in faithful positive coordinates. The next source theorem is strict monotonicity of $\mu$; it has not yet been proved. A 401-point hostile scout found no failure.

• Research packet: research/grothendieck/aggregate-green-curvature-is-one-weighted-threshold-readout.md
• Checker: research/grothendieck/checkers/check_green_curvature_weighted_threshold.py
• Sequence claim: seqclaim-3acd558b132d86b19764ebdb
• Graph event: 6859

View source on GitHub