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PAPER RECORD

Publication record: Discrete Inner–Time Yang–Mills Models and a Rigorous Mass Gap Via Variational Analysis

The manuscript proposes a Euclidean Yang–Mills construction with a finite discrete temporal circle. It studies action minimizers and a fluctuation-operator gap using variational and spectral methods, then outlines the additional work required to take a continuum limit while retaining a gap.

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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
2025-06-14
Pages
8 pages
DOI
10.2139/ssrn.5294597

The SSRN repository record identifies an 8-page manuscript posted 14 June 2025. Its abstract distinguishes the regulated construction from a future continuum programme.

Question and construction

The manuscript proposes a Euclidean Yang–Mills construction with a finite discrete temporal circle. It studies action minimizers and a fluctuation-operator gap using variational and spectral methods, then outlines the additional work required to take a continuum limit while retaining a gap.

Scope of the result

A gap in a specified regulated fluctuation operator is distinct from the mass gap of a constructed interacting four-dimensional continuum quantum field theory. Removal of regulators, infinite-volume control and the physical Hilbert-space interpretation remain separate obligations; the catalogue does not certify a Millennium Problem solution.

The full older preprint was not retrieved. This guide establishes only its stated elementary spectral examples and explains the separate obligations of a full Yang–Mills existence and mass-gap argument.

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Citation

Haj Yousef, M. (2025). Discrete Inner–Time Yang–Mills Models and a Rigorous Mass Gap Via Variational Analysis. SSRN manuscript, posted 14 June 2025. https://doi.org/10.2139/ssrn.5294597

Source and version notes

Primary repository metadata and abstract checked; complete proof audit not undertaken.

The indexed delivery URL renders the repository record; it is not advertised here as a verified binary PDF download.

  • Source 1 — Exact title, author, 8 pages and 14 June 2025 posted date.
  • Source 2 — Repository abstract, DOI and stated continuum-limit programme.