What is established?
A short guide connects the published mathematics, conditional constructions, and open physical questions to the detailed research already on this site.
Read the research status →SINGLE MONAD MODEL · DUALITY OF TIME THEORY
Time at the
origin of space.
Explore the research behind the Single Monad Model of the Cosmos and Duality of Time Theory. Developed by Mohamed Haj Yousef from his study of Ibn al-Arabi’s account of time and creation, the programme explores how the multiplicity of the world can arise from one generative source.
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.
THREE WAYS TO BEGIN
Follow your question.
01 · THE IDEA
Understand the proposal.
Begin with one source, inner generation, and the succession of completed configurations.
Start with the ideas 02 · THE ARGUMENTExamine the mathematics.
Follow each claim to its assumptions, construction, published source, and remaining questions.
Trace the research 03 · THE EXPLORATIONWork with the models.
Explore interactive calculations for memory, interference, physical constants, and more.
Open the applications4volumes in the book series
220expanded articles
78explanatory figures
3featured journal papers
EXPLORE THE RESEARCH
Follow an idea. Check its assumptions.
When does a record predict?
Inspect a finite source update and refine its recorded states until their future behaviour becomes predictable. Follow every transition and export the calculation.
Try the memory lab →What would distinguish a theory?
Vary phase and coherence in a two-path interference model, then examine the additional prediction needed to test a dual-time interpretation.
Try the interference lab →Read each result with its scope.
Use these labels to follow the role of an argument and the evidence it needs.
Research status and definitions →- Foundational proposal
- The starting interpretation and organizing principles.
- Published mathematics
- A journal result under its stated hypotheses.
- Defined model result
- A consequence of an explicit construction.
- Open physical target
- A connection or independent test still to establish.
PUBLISHED RESEARCH
Read the mathematical foundations.
Open Journal of Mathematical Sciences
2026 · Vol. 10 · pp. 996–1012
2026 · Vol. 10 · pp. 996–1012
Published mathematics
↗
Completion principles, real commutants, and positive-frequency geometry for orthogonal Hilbert representations
Completion, compatible complex structures, and the conditions behind positive-frequency geometry.
Question When does a completed record support well-defined dynamics?
Scope Read the completion and representation hypotheses alongside the result.
Physics Letters A
2026 · Vol. 594 · 132085
2026 · Vol. 594 · 132085
Published mathematics
↗
Real-Commutant Phase Selection from Real Hilbert Representations
How real representations and their commutants constrain the selection of quantum phase.
Question How can a real representation constrain quantum phase?
Scope Phase selection depends on the representation and dynamical assumptions.
Mathematics
2026 · Vol. 14 · 853
2026 · Vol. 14 · 853
Published mathematics
↗
Dual-Time Topological Geometry and the Emergence of Temporal Asymmetry in Non-Equilibrium Dynamics
A dual-time geometric approach to temporal asymmetry and reduced dynamics.
Question How can a dual-time description represent temporal asymmetry?
Scope The stated model and reduction assumptions define the scope of the result.
EXPLORE A CALCULATION
Put a question to the model.
What must a record retain?
Compare source states with the same visible output, then discover the extra memory needed to predict their successors.
Explore predictive memory →What changes an interference fringe?
Vary phase and coherence, inspect detector probabilities, and distinguish a calculation from a proposed interpretation.
Explore interference →What would determine a constant?
Trace structural inputs, normalization, and physical matching across six constants and their dependencies.
Open the constants explorer →RESEARCH AREAS · ENGLISH AND ARABIC
Results, assumptions and next questions
Relativity and clocks
Signal limits, Lorentz symmetry, mass and gravitational response.
اقرأ بالعربيةPhysical constants
Structural counts, response normalization and the missing physical matching.
اقرأ بالعربيةModel tests
Consistency checks, observable comparisons and predictions after calibration.
اقرأ بالعربيةCosmology
Generated vacuum, expansion, horizons and linked perturbation targets.
اقرأ بالعربيةHydrogen
Ground states, spectra, scales and reproducible numerical examples.
اقرأ بالعربيةGauge research
Frames, transport, retained records and conditional symmetry groups.
اقرأ بالعربيةRESEARCH REFERENCE · ENGLISH AND ARABIC
Geometry, quantum theory and matter
Open questions and research collaboration
The programme distinguishes proved statements under explicit assumptions from physical identifications and independent tests. Explore the open problems and the joint-dynamics target, then follow a focused collaboration topic:
THE DUALITY-OF-TIME POSTULATE
Foundational proposalInner generation. Outward time.
At each outward moment, the model proposes that space and matter are generated anew through a single chronological process, with inner levels of time nested within the formation of spatial dimensions.
This is the central proposal linking the Single Monad Model (SMM) to Duality of Time Theory (DTT). Inner activity constructs the spatial configuration; outward time orders the completed configurations that become available to observation. Motion is then studied through the succession of these renewed states.
The books develop this distinction through complex-time geometry. The research pages follow its mathematical construction and investigate connections with relativity, quantum phenomena, matter, and the direction of time.
THE SINGLE MONAD MODEL
From one source
to a completed world.
The model draws on Ibn al-Arabi’s account of renewed creation and the divine week. Its six inner stages and seventh, outward role connect the formation of space with the observable succession of events.
Understand the frameworkOne generative source
The Single Monad is the proposed common origin of observable multiplicity, prior to the emergence of spatial positions and relations.
Six nested inner stages
Six functional roles organize the formation of spatial relations. These are nested stages within the proposed process, rather than six independently measured time axes.
Outward completion
The seventh role is the completed configuration available to observation. Successive records provide the starting point for studying clocks, motion, and retained information.
THE SINGLE MONAD MODEL BOOK SERIES
Four volumes. One developing idea.
The Single Monad Model of the Cosmos
Ibn al-Arabi’s Concept of Time and Creation. The philosophical and cosmological foundations: unity, multiplicity, renewed creation, and the divine week.
Book details and guide
Duality of Time
Complex-Time Geometry and Perpetual Creation of Space. Inner generation and outward evolution, with proposed connections to relativity and quantum theory.
Book details and guide
Ultimate Symmetry
Fractal Complex-Time, the Incorporeal World and Quantum Gravity. Symmetry and the physical, psychical, and spiritual domains within the author’s cosmological interpretation.
Book details and guide
Time Chest
Particle-Wave Duality from Time Confinement to Space Transcendence. A more accessible introduction drawn from the first three volumes.
Book details and guideFor a concise statement of the proposal and its intended physical consequences, see DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics.
AUTHOR AND ORIGINS
Mohamed Haj Yousef
The investigation began during his Cambridge years in the early 1990s, and grew through a sustained study of time, creation, and the relation between unity and multiplicity in Ibn al-Arabi’s cosmology.
2005 · The Exeter study
A PhD examined Ibn al-Arabi’s concept of time and its relationship to questions in modern physics.
2014 · The revised Single Monad Model
The Routledge study, Ibn ‘Arabî — Time and Cosmology, provided the foundation for the revised Single Monad Model edition of 2014.
2017–2019 · The book series develops
Duality of Time appeared in 2017, followed by Ultimate Symmetry and Time Chest in 2019.
TIME, PRESENCE, AND CREATION
The time of anything is its presence.
Ibn al-Arabi, as translated by Mohamed Haj Yousef. Explore the texts and reflections that inform the project’s philosophical background.
CHOOSE YOUR WAY IN
A place for every kind of reader.
Begin with the ideas.
Meet the common source, inner generation, and outward completion. The introductory guides, glossary, and questions build the vocabulary for the rest of the site.
A guided introductionFollow the construction.
Work through spatial emergence, complex phase, clocks, matter, and constants. Trace the assumptions and results in each model, then explore the remaining research questions.
Explore the researchCompare the approaches.
Explore other accounts of time, space, and cosmology alongside SMM and DTT. Follow the philosophical background, historical perspectives, and detailed comparisons.
Browse the comparisonsFROM THE ARTICLE ATLAS
Take a question further.
One action, two temporal roles
Inner generation and outer record order can be roles of one process. A completed return becomes an observable advance only when its action respects the retained records and their tests.
Read articleFrom three-dimensional readout to retained records
A quaternionic readout, ten-mode pair memory, and a selected stopping grammar produce 137 distinguishable records. The construction makes its retention assumptions explicit and leaves physical coupling as a separate problem.
Read articleA normalizable hydrogen-like ground state
Square completion gives the exact normalized ground state of the supplied nonrelativistic Coulomb Hamiltonian. Its spectrum and relative root-mean-square speed provide precise atomic benchmarks without selecting the coupling itself.
Read articleAN INTERACTIVE RESEARCH WORKBENCH
What would it take to derive a constant?
Trace the assumptions, equations, and physical matching behind six constants. Explore the distinction between structural counting, measured response, and the choice of physical scales.
WATCH, STUDY, AND EXPLORE
Follow the ideas in your own way.
See the model explained.
Watch the author’s presentations and the explanatory films, then explore the figure catalogue and interactive demonstrations of clocks, geometry, and response.
Study step by step.
Follow the twelve-lesson course, work through the mathematical derivations, and use the claim map to connect assumptions, results, publications, and open questions.
الجوهر الفرد وثنائية الزمن
اقرأ الأسس الفكرية والرياضية لنموذج الجوهر الفرد ونظرية ثنائية الزمن، وتابع الدورة العربية والاشتقاقات والأمثلة المشروحة وقاموس المصطلحات.
EXPLORE SMONAD
Find your next question.
Begin
Research
- Research programme
- Worked mathematical derivations
- Emergent geometry
- Quantum theory and records
- Relativity and physical clocks
- Cosmology and temporal structure
- Matter, particles, and atoms
- Gauge structure and interactions
- Physical constants
- Tests and observable consequences
- Open problems and research targets
- Papers and preprints
Library
Connect
Read the same topic in either language
The Arabic–English directory connects matching articles, lessons, derivations and research guides. The memory lab and interference lab are now available in Arabic, with the same calculations and downloadable results.