← LESR · Root 6217 local analysis (Paper 09C–09U) / LESR 09O · The explicit quartic–quintic repair and B06 research closure

LESR · Root 6217 local analysis (Paper 09C–09U) LESR 09O · The explicit quartic–quintic repair and B06 research closure Neo.K / Aletheia

Explicit Quartic–Quintic Repair and Research Closure of B06: From the Positive-ρ Re-Centering Idea to Explicit Higher-Order Coefficients — Ψ₄, Ψ₅ and a Sixth-Order Interval Remainder

Reconstructs explicit quartic and quintic chart polynomials (|Ψ₄| ≤ 2.0757, |Ψ₅| ≤ 9.3034) so that only an order-6 interval remainder (about 1.41e7) is left; B06 is 'research-closed' with worst normalized lower bound 0.10589041.

Paper 09O repairs B06 with explicit higher-order coefficients, and the repair closes B06 under research arithmetic. The paper chose Route B (explicit coefficients) rather than the Route A (re-centering) recommended in 09N; the same research-closure qualifiers apply.

Connections · Connections

PreviousLESR 09M · B04 split closure · B04 Split Closure and Removal of the First High-Order Frontier: From Remainder Over-Enclosure to Full-Parent Research Closure — Root-Neighbourhood Sharpening and a Chartwise Radial Interval Lift

NextLESR 09T · The last cell and finite-chart migration · B11 Final Bridge Closure and the Local Positive-Rotation Bridge Seal: the Last Cell, Finite-Chart Migration, a 64-QP Atlas-Agnostic Boundary Certificate, and Research Closure of [10⁻⁴, 0.003]

This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.

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