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Research: Serial monomial leaf - #6979
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…appa) Verified standalone research package; no upstream pull request submitted. Prepared for @CubeJerry with substantial OpenAI assistance.
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Result
A direct current-format f-column monomial can use the unchanged one-column
branch f times, with zero ordinary-runtime calls, on an explicit
intermediate signed-headroom domain. 45 fixed ports and literal tables compute
f'=1, K'=fK, rho'=jK+rho, selected_axes'=m+remainderwithout host size decoding.Every complete field/spectator and absolute tensor phase is retained.
The full cost is f times the complete one-column bill, including format/setup,
history and fixed inventory. Under stated long-record/metadata absorption it
is
F_template+O_m(fV). No faster nonleaf tariff or global cutoff is claimed.The original batched acceptance domain is larger: an actual constant-minus-one
f=2 packet accepts its most-negative signed component when batched and rejects
at the first serialized negation. Strict symmetric headroom suffices. A paid
protected stage remains necessary for whole-job rollback.
Novelty and pins
#4172 already gives the one-column zero-ordinary
fact and history theorem. #3087 supplies the
monomial lineage; #6293 and
#6930 supply source phases. This contribution is
the physically encoded multi-column direct implication and its precise domain.
Base:
7c49fe32c55de02c2c873655c804b16e4c3fef0a. Unchanged current monomial:CubeJerry/integer-mult-bounds@7d1ff23714e6f9182c1d0ff9214f65def2f30e04.All 109 dependency files have exact blob/SHA256 pins and are vendored unchanged.
Reproduction
Normal/optimized bounded gates check 30 physical descriptor cases, 6,144 algebra
cases, actual 128-record forward/inverse packets, the executed acceptance-domain
counterexample and reusable history. Exact receipts are in RESULT.json and
publication verification in VERIFICATION.md. Smaller numerical recipes do not
constitute a complete selected nine-axis MOVE execution.
Limitations and credit
No new kappa. All five framework assumptions remain. Full source/child
composition, global cutoff/precision/stock and complete source-to-table export
are open; only descriptor iteration is literal finite tables. A finite test
does not replace the universal source argument.
Prepared for @CubeJerry, with substantial OpenAI assistance in research,
proofs, implementation and adversarial review. Preserve the credited
predecessors and notices, including Clear1nsight and unpaidmoon.