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This work aims to advance the TEBAC Hilbert–Pólya program by establishing high-block closure and a quantitative temporal-resonance law.

July 29, 2026Open Access

An Arithmetic-Fluctuation Hilbert–Pólya Mechanism: Endpoint-Seven High-Block Closure and a Quantitative Cofinal Temporal-Resonance Law

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Preprint demonstrates a high-block closure in arithmetic forms and establishes a temporal-resonance law for prime-log phases.

This work aims to advance the TEBAC Hilbert–Pólya program by establishing high-block closure and a quantitative temporal-resonance law.
Introduced a Hilbert–Pólya operator post-positivity establishment of the arithmetic form.
Analyzed closed support windows and their relationships with nonzero von Mangoldt labels.
Applied techniques such as geometric summation and Abel summation for proving results.
Founded rigorous high-block closure tied to an endpoint-seven continuum.
Validated Schur reserves in both parity sectors under a three-block operator-valued inequality.
Established a quantitative temporal-resonance law impacting prime-log phases.

Tosho Lazarov Karadzhov (2026) studied this question.

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