Five kinds of statement
| Statement | What it means here | What to look for |
|---|---|---|
| Framework premise | A starting commitment of SMM/DTT, such as a common generative foundation. | An explicit definition and the restrictions the premise places on a model. |
| Result within a model | A conclusion that follows under the displayed assumptions. | The state space, dynamics, admissible operations and proof or calculation. |
| Published mathematical result | A theorem or construction presented in an identified publication. | The original hypotheses, domains, version and source reference. |
| Proposed physical connection | An identification between a mathematical quantity and a measurable physical one. | Units, normalization, calibration and an independently defined observable. |
| Open research question | A desired conclusion for which the required construction or justification remains incomplete. | A precise target and the missing selection law, limit or comparison. |
A page can contain several of these kinds of statement. Publication status and mathematical scope are separate: a published construction can be conditional, and an unpublished calculation can still be checked algebraically. A model illustration is not itself a measurement.
Sources, editions and accessible evidence
Publication records identify the source actually checked, its available version and the scope of the accompanying guide. Repository records and publisher pages serve different purposes; a repository listing is not a journal acceptance notice. Where an online-publication date cannot be confirmed, an issue date is not silently substituted for it.
Working-draft references retain their filenames or edition labels when no public copy has been supplied. A source-access limitation remains visible. A catalogue entry or book contents list does not justify a detailed summary of an unseen chapter. Quotations carry attribution; original explanatory prose and paraphrases are identified by their context.
Article source register · Publication records and reading guides
How this website is prepared
The research programme and source works are those of Mohamed Haj Yousef. Explanatory website material, translations, diagrams and software have been prepared with AI assistance. The completion release includes editorial review of article descriptions and bodies, bibliographic checks, mathematical consistency checks and automated website checks. These checks are described in the release documentation.
Editorial preparation is not a substitute for independent peer review or experimental validation. A website release date identifies a content revision; it does not change the publication date of an underlying paper. The source publication remains the reference for its theorem wording and proofs.
Figures, calculators and translations
Figures are labelled according to their role: conceptual organization, a supplied model, or an exact relationship under stated assumptions. Interactive controls change the inputs of the displayed model. Their equations and default values remain readable when JavaScript is unavailable.
English and Arabic course lessons have reciprocal language links. Translation preserves the equations and worked exercises, while captions explain figures whose internal labels remain English. A missing translation is not represented as an available language version.
Corrections and substantive updates
A useful correction identifies the page address, relevant sentence or equation, the proposed change and its source or derivation. Substantive corrections belong in the dated research notes. Earlier public addresses should continue to reach the intended material, and a changed source edition should be identified rather than silently replacing the old reference.
For an incomplete physical argument, the appropriate correction can be an explicit missing assumption. For a numerical or algebraic error, the correction should also identify which later results are affected.