← ACTM: Algebraic Combinatorial Transcendence Methodology / ACTM R28 · Approximate jets and degree escape

ACTM: Algebraic Combinatorial Transcendence Methodology ACTM R28 · Approximate jets and degree escape Neo.K / Aletheia

Extremal Interpolation Approximate Jets, Uniform Height, and Algebraic Degree Escape

Under rational flattening the extremal interpolation slope approximates s to exact order Q^{−(M²−1)} with uniformly bounded height, but its algebraic degree necessarily escapes to infinity (Northcott); a crude effective degree bound (log Q)^{1/4} follows via Waldschmidt; the bottleneck becomes arithmetic degree control.

R28 constructs an approximate one-jet and shows degree escape; it does not close the AOJBP. §22 of the paper is 'why this does not close the AOJBP'. The degree bound here is superseded by R30 and R31.

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PreviousACTM R24 · BK–fewnomial incompatibility (with an erratum of R23) · BK-Fewnomial Incompatibility, a CSEP Correction, and the Auxiliary-Existence Bottleneck

NextACTM R31 · Joint degree of two observables by Kummer theory · Two-Observable Kummer Orbits, Escape from Exceptional Fibers, and Quadratic Joint-Degree Growth

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.

Editor's note: this page uses LaTeX macros the source never defines (\BKd, \BK, \Log); those expressions will show as red raw source on the page. The file's bytes are unchanged.

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