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Publication record: Non-Commutative Geometric Foundations for the Emergence of Spatial Dimensions and Physical Structures from Complex-Time Spectral Triples

The preprint proposes an associative noncommutative algebra and temporal spectral triple linking inner-cycle generation with outer evolution. Hierarchical compactification is used to motivate spatial dimensionality and possible spectral accounts of mass, energy and gauge structure.

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Publication and edition

Author
Mohamed Haj Yousef
Status
Public preprint, version 1; not peer-reviewed
Version
1
Venue or repository
Preprints.org
Year
2025
Posted
2025-09-30
DOI
10.20944/preprints202509.2573.v1

Preprints.org explicitly labels version 1 as not peer-reviewed and displays the posted date.

Question and construction

The preprint proposes an associative noncommutative algebra and temporal spectral triple linking inner-cycle generation with outer evolution. Hierarchical compactification is used to motivate spatial dimensionality and possible spectral accounts of mass, energy and gauge structure.

Scope of the result

A mode-count exponent, finite operational distance and dynamically stable locality are separate reconstruction requirements. The supplied examples can test these requirements, but they do not by themselves establish necessary physical three-space or derive the Standard Model from temporal ontology.

Based on the public preprint abstract and existing A211. The counting and quotient examples are exact under their stated inputs; they do not prove necessary three-dimensional physical space.

Read with the site guides

Citation

Yousef, M. (2025). Non-Commutative Geometric Foundations for the Emergence of Spatial Dimensions and Physical Structures from Complex-Time Spectral Triples. Preprints.org, version 1. https://www.preprints.org/manuscript/202509.2573

Source and version notes

The repository explicitly identifies this version as not peer-reviewed. Title, abstract and displayed version/posting date were checked; a complete proof audit was not undertaken.

The landing page provides the authoritative current version and download controls. No unobserved direct PDF URL has been manufactured.

The repository displays the author as “Mohamed Yousef”; the site’s canonical author identity is “Mohamed Haj Yousef”. Preserve this source-name distinction in citation metadata.

  • Source 1 — Exact title, displayed author, version 1, posted date, unreviewed-version label and abstract.