Publication and edition
- Author
- Mohamed Haj Yousef
- Journal
- Open Journal of Mathematical Sciences
- Volume and pages
- 10 (2026), 1347–1416
- Published
- 14 November 2026
- Accepted
- 4 November 2026
- Version
- Published version of record
- DOI
- 10.30538/oms2026.0350
- Access
- Open access under the publisher’s Creative Commons Attribution licence
Results and scope
The paper reconstructs a quaternionic rank-three readout under explicit phase, norm, associativity and covariance assumptions. An ordered word protocol generates its independent tests, and a finite autonomous recorder gives a quantitative completion law.
The declared free-completion rules and relative comparison fix the ordered ranks (137, 128). Additional results characterize rank defects, the autonomy of completed records, hidden-information leakage and sharp rotation–phase quotient bounds. The response analysis isolates normalization freedom and calculates a finite holonomy–gap benchmark and a conditional plaquette-to-Maxwell coefficient.
The ranks are exact undressed structural indices. The selection of the completion laws, physical vacuum and measured coupling remains a realization problem. Lorentzian and Dirac compatibility uses calibrated propagation and supplied continuum data.
Citation
Haj Yousef, M. (2026). Quaternionic Rank-Three Readout and Dual-Time Reconstruction: Inner Generation, Outer Dynamics, and Phase Actions. Open Journal of Mathematical Sciences, 10, 1347–1416. https://doi.org/10.30538/oms2026.0350
Read the source
Publisher article and full HTML text · Publisher PDF
Bibliographic details and this summary follow the final published article. The website guides explain the results and link to their assumptions and proofs.