[rohanarun]

Results

Follow-up to #7098, with three independently runnable replay suites.

• The pinned Conditional κ = 0.00363005817 (+0.0838% over #6936): shared wires and two helper splits #7000 central interval needs four rank-one QUERYs per branch when the boundary operator is fixed. The whole-caller lower bound under the inherited two-shear native factorization is three per branch. Even granting one deletion per branch for pricing, the Conditional κ = 0.00363206219 (+0.00000039227 over #7003): peer MOVE retiming #7004 complex moment is approximately −462.571 at κ = .005. The unchanged Remove empty-root credits from the paired BIT supplier at 0.00385248 (no new κ) #7001 BIT moment is approximately −444.063.
• The pinned Conditional κ = 0.00330823 (+9e-8 over #6805): lift two helper inputs onto one shared carrier #6824 normalized word admits no specified same-port HOST repair through up to two added coframed ADDs across its 104 ports. This covers the existing chronology.
• The normalized Construct a connected 18-stage root and bound its native completion (no new κ) #7002 projector schedule reduces 181 idle jobs to 75 per port, versus 76 in Scope rank-two native and decoder obstructions (no new κ) #7098. Its F+H1 raw complex moment is still approximately −814.904 at .005. The physical packed IDLE, precision, BIT and outer obligations remain.

No new κ claim. The README identifies where changing the native macro or entrance would escape these bounds.

Reproduction

python3 -B scripts/research_package.py --package research/fixed-caller-query-and-host-limits

The replay uses exact source pins and checks the fixed-interval sign ranks, retained-factorization bound, transport screen, projector schedule and rational tariffs, and the fixed-chronology HOST census. The normalized #6824 word is a generated input whose endpoint and inventory are checked during replay.

Credit

Rohan Arun with substantial OpenAI Codex assistance. Retained sources by Jerry Chen / CubeJerry (#6980, #7000, #7001, #7002), DreamingOfClouds (#6824) and ToikY (#7004), with upstream attribution and notices in the package. Apache-2.0.