Fundamental problems
Research directions for quantum measurement, gravity, cosmology and unification, with assumptions, open tasks and routes towards tests.
Single Monad Model · Duality of TimeTime, space and matter.
Time, space and matter.
A common origin.
A research programme developed by Mohamed Haj Yousef.
His work investigates how inner-time generation forms spatial and material relations, while outer-time completion makes observable records available. The programme connects this proposal to published mathematics, physical modelling and interactive applications.
Published foundations · Quantum phase · Completed records · Temporal asymmetry
Biography & academic background
Full author profile on SMONAD ↗
From proposal to researchInner generation.
Inner generation.
Completed records.
The animation introduces the programme’s central distinction: spatial relations form internally, then completed configurations enter the outer-time order.
- Foundational proposal
- The generative interpretation connects a common source with spatial and material relations.
- Published mathematics
- Read each result with its stated hypotheses, definitions, and proofs.
- Open physical questions
- Physical connections require specified predictions and independent comparison.
Single Monad · Duality of Time
Space, woven
from inner time.
Outer recordt₀
Completed records
One source. No spatial arena.The central light represents the generative source before a configuration is available.
Inner activity · outer time held
Conceptual illustration. The curves show generation order, not particle paths or a proposed shape of the universe.
Narrated film · 90 seconds
From one source to one observable moment
AI-generated English narration; not the author’s voice. English and Arabic subtitles are available. The film is a model illustration, not footage of a physical process.
The film could not load. Try the direct file or the full SMONAD experience below.
Audio edition · 90 seconds
From one source to one observable moment
Listen to the film’s narration, then return to explore the four completed records.
AI-generated English narration; not the author’s voice. This is the film’s audio, a separate introduction to the interactive sequence.
The audio could not load. Try the direct file or the full SMONAD experience below.
Read the complete transcript
00:00
Before a spatial stage
What would it mean for space itself to have an origin? The Single Monad Model begins with one proposed generative source, rather than objects already placed in a container.
00:15
A source is not a tiny object
The source symbol is not a tiny particle in hidden space. Here it labels the common process. Distinctions are represented as retained relations, in a separate explanatory panel.
00:30
Six levels of dependent work
Inner time names the generative role. Six levels are nested: each higher operation depends on lower-level work. The drawing is a dependency hierarchy, not six physical shells or independent clocks.
00:45
A supplied spatial readout
In the illustrated model, pairs of levels contribute signed readout directions. One direction, then two, then three. This shows how the chosen readout works; it does not by itself select physical space.
01:00
Completion makes a record available
A configuration becomes available only when a stated completion check succeeds. The seventh role is that interface. Completed records give an observable order; a physical duration still requires a calibrated clock.
01:15
A persistent pattern, a connected programme
A recognizable pattern can persist through successive records. Space, clocks and matter are the connected targets of the programme. Explore the model, inspect its assumptions, and follow the mathematics beyond the picture.
READ THE FULL TEXTS
Papers, PDFs & preprints
Open the journal papers or explore the public manuscript collection.
Fundamental problems & applications
Inner-time generation and outer-time completion offer a proposed framework for connecting quantum phenomena, spacetime and the arrow of time. Explore the questions and interactive models on SMONAD.
Applications
Tools for timing, physical constants, quantum models, geometry and memory, for research exploration and teaching.
Physical constants
Trace structural inputs, normalization, and calibration in proposed relations between constants.
Open the constants explorerPredictive memory
Explore when a retained record needs extra information to determine its subsequent evolution.
Open the memory laboratoryResearch directions
Follow assumptions, remaining tasks, and the tests needed to develop the programme.
Explore the problemsA distinctive research programme
Time as a generative process
SMM/DTT places the formation of space and matter within time’s role in physical description.
Mathematics behind the ideas
Journal papers develop completion, phase selection and temporal asymmetry under explicit mathematical hypotheses.
Books, cosmology & philosophy
The book series and textual projects connect the physics programme with the study of time and Ibn al-Arabi.
Selected journal publications
Publication records →Real-commutant phase selection from real Hilbert representations
Studies how a compatible complex phase can be selected from a real Hilbert representation and an oriented internal time flow, under explicit mathematical hypotheses.
Opens the publisher’s full-text options, not a direct PDF file.
DOI: 10.1016/j.physleta.2026.132085
Completion principles, real commutants, and positive-frequency geometry for orthogonal Hilbert representations
Develops a modular mathematical framework for completed records, compatible complex structures, positive-frequency selection, and conditional geometric readouts.
DOI: 10.30538/oms2026.0328
Dual-Time Topological Geometry and the Emergence of Temporal Asymmetry in Non-Equilibrium Dynamics
Investigates coupled temporal evolution and the emergence of memory and temporal asymmetry in reduced descriptions of non-equilibrium systems.
DOI: 10.3390/math14050853
Recent developments
Temporal generation: explore, watch and listen
A 90-second film and narration now accompany a complete transcript and English/Arabic subtitles. An interactive view of inner generation and observation now includes four inspectable completed records. DOI copying and citation downloads are available beside the selected publications.
Explore the animation ↑Research collaboration & invited talks
Mohamed Haj Yousef welcomes collaboration on mathematical foundations and physical models, alongside seminar invitations and scholarly discussion of time, space and matter.