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Publication record: Spectral Non-Commutative Geometry of Dual-Time Space

This manuscript places a dual-time construction in the language of spectral triples. It proposes an algebra generated by inner-time projection operators and explores how operator spectra might describe spatial geometry and connect to mass, charge and dimensionality.

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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
2025-05-30
Pages
10 pages
DOI
10.2139/ssrn.5275006

The SSRN repository record gives a 10-page manuscript posted 30 May 2025. It does not establish journal publication or a present editorial decision.

Question and construction

This manuscript places a dual-time construction in the language of spectral triples. It proposes an algebra generated by inner-time projection operators and explores how operator spectra might describe spatial geometry and connect to mass, charge and dimensionality.

Scope of the result

The proposal must be assessed through its algebra, Hilbert-space representation, operator domain, commutator bounds and metric normalization. A spectral interpretation of geometry does not alone determine physical distance or select numerical particle properties. The website’s two-point example is an independent illustration.

The older full preprint was not retrieved. The two-point distance and rescaling results are exact explanatory calculations for the specified algebra and operator; no physical length is selected by them alone.

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Citation

Haj Yousef, M. (2025). Spectral Non-Commutative Geometry of Dual-Time Space. SSRN manuscript, posted 30 May 2025. https://doi.org/10.2139/ssrn.5275006

Source and version notes

The SSRN title field appends “Mohamed Haj Yousef” after “Space”. The display title omits that duplicated author suffix; the exact source string is retained in source_title.

Direct repository retrieval was access-limited; indexed primary metadata and abstract were available.

No statement about current journal review is supported by this repository record.

  • Source 1 — Repository title string, author, 10 pages, posted date, DOI and abstract.

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Preprint; Numbered version not stated

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