files / problems / simon-ionization-excess / compute / q3 / README.md

883 B · on GitHub

q3 — lift the aspect-12 compact bound

The q2 compact certificate gives Q≥0.899526Q\ge 0.899526 on DD-aspect ≤12\le 12, so 1/Q≤1.111701/Q\le 1.11170 in that class. Mass-stationarity forces any used support of aspect ≥12\ge 12 to have Q>12/13Q>12/13. Every finitely atomic radial measure reduces to one of those two classes. Truncation plus shell approximation extends the bound to HPS D3D_3. That replaces b(3)<1.1185b(3)<1.1185 in the same Section 7 chain.

Do not quote the aspect-≤4\le 4 number 1.10871.1087 as unrestricted. The withdrawn 1.11681.1168 tail lift stays withdrawn.

./run_all.sh

Certificates: certs/lift.json, leading.json, aspect_identities.json, lift_stdlib.json. Independent algebra: verify_aspect.c, verify_aspect.rs. The R=12R=12 faces dump is ../q2/certs/beta3_mid_faces_R12_n22.txt (not re-enumerated on the fast path). Leftover probes in work/ (finite ZZ, s>3s>3).