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PAPER RECORD

Publication record: A Spectral Framework of the Riemann Hypothesis from Fractal Tick-Time Operators in the Duality of Time Theory

The manuscript proposes a self-adjoint tick-time operator on a Cantor-set Hilbert space as a setting for the Hilbert–Pólya programme. It investigates an arithmetic potential and asks whether the resulting spectrum can reproduce the imaginary parts of the nontrivial zeta zeros.

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Publication and edition

Author
Mohamed Haj Yousef
Status
Public SSRN manuscript
Version
Numbered version not stated
Venue or repository
SSRN manuscript
Year
2025
Posted
2025-06-25
Pages
21 pages
DOI
10.2139/ssrn.5318899

The SSRN repository record identifies an author manuscript posted 25 June 2025, with 21 pages. The abstract explicitly leaves the decisive spectral correspondence open.

Question and construction

The manuscript proposes a self-adjoint tick-time operator on a Cantor-set Hilbert space as a setting for the Hilbert–Pólya programme. It investigates an arithmetic potential and asks whether the resulting spectrum can reproduce the imaginary parts of the nontrivial zeta zeros.

Scope of the result

The repository abstract explicitly calls the spectral correspondence a conjecture and states that deriving it from the construction remains open. The record therefore represents a spectral research programme, not a proof of the Riemann hypothesis.

A reading and proof-obligation guide based on the public catalogue and existing A206. It contains no claimed proof of the Riemann hypothesis or audit of an inaccessible complete preprint.

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Citation

Haj Yousef, M. (2025). A Spectral Framework of the Riemann Hypothesis from Fractal Tick-Time Operators in the Duality of Time Theory. SSRN manuscript, posted 25 June 2025. https://doi.org/10.2139/ssrn.5318899

Source and version notes

The indexed primary abstract was available; direct full-page retrieval was access-limited. A complete independent proof audit was not performed.

No journal status or numbered manuscript revision is supplied by the retrieved record.

  • Source 1 — Exact title, author, 21 pages, posted date, DOI and abstract including the open conjecture.