Publication and edition
- Author
- Mohamed Haj Yousef
- Status
- Published journal article
- Version
- Version of record
- Venue or repository
- Mathematics
- Year
- 2026
- Published
- 2026-03-02
- Volume
- 14
- Issue
- 5
- Article number
- 853
- DOI
- 10.3390/math14050853
The publisher identifies an open-access article, accepted 28 February 2026 and published 2 March 2026.
- Primary publication record
- Full text supplied by the source — Existing author-hosted published-PDF link retained; primary metadata and text were retrieved through the indexed publisher record.
- Resolve the DOI
Question and construction
The article studies reversible and irreversible evolution on a domain with two coupled temporal parameters. Temporal connections encode ordered transport, and projection gives memory-bearing observable dynamics. A representation theorem connects a class of convolution memory equations to local evolution with an additional memory-age variable.
Scope of the result
The two-parameter mathematical formulation and its reduction results operate under explicit assumptions. A memory representation alone does not establish a unique temporal ontology or a universal entropy law. The published coordinates should be distinguished from the six nested generative roles used in later SMM/DTT constructions.
Based on the published opening formulation and the existing detailed article guide. The two-mode elimination is exact for its stated linear system; it does not independently establish a universal thermodynamic arrow.
Read with the site guides
Citation
Haj Yousef, M. (2026). Dual-Time Topological Geometry and the Emergence of Temporal Asymmetry in Non-Equilibrium Dynamics. Mathematics, 14(5), Article 853. https://doi.org/10.3390/math14050853
Source and version notes
The complete publisher page was rate-limited on direct retrieval; the indexed primary publisher record supplies the bibliographic history and abstract.
The existing website guide supplies the independently worked two-mode memory example.
- Source 1 — Exact title, author, journal 14(5), article 853, DOI, publication history and abstract.