ZFCρ Paper LXII: Two-River Synchronization and the Precise Restatement of Spectral Ratio Boundedness — From P+R Decomposition to Conjecture 59.1
ZFCρ 第LXII篇：双河同步与谱比有界性的精确重述——从 P+R 分解到 Conjecture 59.1

Paper LXII presents the "Two-River Synchronization" model and restates Conjecture 59.1 (spectral ratio boundedness) in a precise, testable form. The P+R decomposition (principal + remainder) is used to isolate the structural sources of spectral ratio growth. The paper demonstrates that the two spectral rivers — the deterministic dlp^k weights and the arithmetic correlations of h(p)/p — exhibit synchronized decay, providing the structural foundation for the O(1) bound asserted by Conjecture 59.1. A precise restatement of 59.1 is given in terms of the P+R decomposition, clarifying what the conjecture actually requires and what would constitute a proof.

本文提出“双河同步”模型，并对Conjecture 59.1（谱比有界性）给出精确的可检验重述。通过P+R分解（主项+余项）隔离谱比增长的结构源。证明两条谱河——确定性的dlp^k权重和h(p)/p的算术相关——展示同步衰减，为Conjecture 59.1断言的O(1)界提供结构基础。