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◇ Open MIND2026-07-31· Mathematics

The Lower-Digit Dominance and Local Convergence Structure into Infinite Hierarchies

Motohiro Hamaguchi

原始摘要(英文原文)· Original abstract
This report serves as the sequel to the prior study (DOI: 10.17605/OSF.IO/X8Y9K). It defines the "Lower-Digit Dominance" mechanism, where the parity transitions and reduction scales are strictly governed by a finite lower-bit block, independent of massive upper digits. We formulate the rule where upper noise infiltrates downward by exactly 1 bit per operation. The universality of this mechanism is empirically verified by synchronized collapse data at n=16 and n=20, presenting the final two speed-related algebraic challenges to the global mathematical community.
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