Publication and edition
- Author
- Mohamed Haj Yousef
- Status
- Journal article; assigned to volume 594
- Version
- Published journal record
- Venue or repository
- Physics Letters A
- Year
- 2026
- Volume
- 594
- Article number
- 132085
- DOI
- 10.1016/j.physleta.2026.132085
The publisher record identifies the article as a Letter in Physics Letters A, volume 594, article 132085. Its issue date is 28 October 2026; that date is not used here as an online-publication date.
- Primary publication record
- Full text supplied by the source — Existing author-hosted PDF link retained; live PDF retrieval was unavailable during this metadata check.
- Resolve the DOI
Question and construction
This paper starts with a real Hilbert representation and asks how a compatible quantum phase can be selected. The website reading guide explains commutant-compatible complex structures, the polar phase of a real generator, its zero-mode limitation and the role of time orientation through finite worked examples.
Scope of the result
Phase selection is an operator-theoretic result conditional on a specified real representation and suitable generator. The explanatory examples do not derive that representation, a physical time unit, interacting field dynamics or an empirical coupling from SMM/DTT alone.
The rotating-plane, kernel, and reversal calculations are exact finite examples. This guide uses the existing paper guide and publication metadata; it does not claim a new audit of every infinite-dimensional proof.
Read with the site guides
Citation
Haj Yousef, M. (2026). Real-commutant phase selection from real Hilbert representations. Physics Letters A, 594, Article 132085. https://doi.org/10.1016/j.physleta.2026.132085
Source and version notes
Full publisher-page retrieval was access-limited. Bibliographic identity is supported by the indexed publisher record and existing site citation.
The exact online-publication date has not been confirmed from a primary source and is deliberately left blank.
The summary uses the existing supplied reading guide; it should not be described as a new full-text review.