Repeated Four-Phase Projection on a Single Sheet: A Lean-Checked Finite Model and Its Open Prime-Frequency Bridge

A finite Lean-checked model of repeated four-quarter phase projection onto a single sheet. The package proves exact k/8 readings, cycle independence, period four, physical closure at 2*pi*(q+1), projection of that closure to 1/2, equal-amplitude four-phase cancellation, a centered defect criterion, and a conditional localization interface. It does not prove the prime-frequency-to-closure bridge for actual zeta zeros; the Riemann hypothesis remains open.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23687972
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

Repeated Four-Phase Projection on a Single Sheet: A Lean-Checked Finite Model and Its Open Prime-Frequency Bridge

Muhannad Alenezi
6 links
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

Repeated Four-Phase Projection on a Single Sheet: A Lean-Checked Finite Model and Its Open Prime-Frequency Bridge

Muhannad Alenezi
preprint en

Abstract

A finite Lean-checked model of repeated four-quarter phase projection onto a single sheet. The package proves exact k/8 readings, cycle independence, period four, physical closure at 2*pi*(q+1), projection of that closure to 1/2, equal-amplitude four-phase cancellation, a centered defect criterion, and a conditional localization interface. It does not prove the prime-frequency-to-closure bridge for actual zeta zeros; the Riemann hypothesis remains open.

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
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Repeated Four-Phase Projection on a Single Sheet: A Lean-Checked Finite Model and Its Open Prime-Frequency Bridge — Muhannad Alenezi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS