Lesson 01: One source, many distinguishable records
Begin the SMM course by distinguishing a common source, its histories, completed records and observations through a worked counting example.
Read the guideA GUIDED COURSE · TWELVE LESSONS
Learn SMM/DTT, one construction at a time.
Begin with source and record, then follow the route through spatial readout, phase, physical clocks, matter and constants. Each lesson connects an accessible question to a worked example and two exercises with complete answers.
Read offline or study in Arabic
Download the complete course handbook (PDF), including all twelve lessons, diagrams and 24 worked exercises. The الدورة العربية الكاملة preserves every lesson and answer.
How to use the course
Read in order if these ideas are new to you. The first lessons build the vocabulary and use simple finite examples. Later lessons introduce the mathematical relationships needed to discuss quantum phase, clock comparisons and atomic binding. Each page states its prerequisites and learning goals.
Try an exercise before opening its worked answer. Use the linked demonstrations to vary the example, then follow the detailed guide for a longer proof. Reading times estimate the text only; calculations and exercises may take longer. You can return to any lesson through this index.
The course explains the SMM/DTT research programme through declared constructions. It distinguishes a conceptual premise, an exact model calculation, a published theorem and a physical identification. The research claim map helps trace those different roles across the website.
Four stages of study
- Lessons 1–3: source, time and records. Define the objects and distinguish a present display from a predictive state.
- Lessons 4–6: readout, geometry and phase. Calculate ranks and invariants while keeping their assumptions visible.
- Lessons 7–9: quantum records, clocks and symmetry. Connect coherent states to measurement, calibrated duration and transport.
- Lessons 10–12: matter, constants and evaluation. Work through atomic consequences and assemble a model whose claims can be checked.
The twelve lessons
Lesson 02: Inner work and the completed record
Learn how nested generation differs from completion and clock duration, then calculate address counts in the six-role counter demonstration.
Read the guideLesson 03: When two records predict the same future
Use a hidden-bit model and a linear projection to distinguish equal present readings from records sufficient for every admitted future test.
Read the guideLesson 04: From six nested channels to three coordinates
Derive the paired-readout rank sequence and the nonuniform 27-site image of 64 binary addresses, then test the lost predictive information.
Read the guideLesson 05: Build distance and test local influence
Construct graph distance from allowed record comparisons, prove a finite propagation bound and separate geometric dimension from clock-calibrated speed.
Read the guideLesson 06: Recover a complex phase from real rotation
Derive the quarter-turn identity, select phase from an oriented real generator and track the sign convention needed for positive Schrödinger energy.
Read the guideLesson 07: Quantum states, completion flags and memory
Calculate projective outcomes, registration-order effects and recoverable completion retries while keeping probabilities and retained records explicit.
Read the guideLesson 08: Calibrated clocks and relativistic duration
Compare order, phase and proper time, calculate moving-clock durations and identify the common clock law a source reconstruction must establish.
Read the guideLesson 09: Local frames and observable loop comparisons
Calculate gauge-link transformations and a closed-loop invariant, then identify the reference measurement needed to turn phase into a readable record.
Read the guideLesson 10: Binding, hydrogen and the meaning of speed
Derive the Coulomb binding scale, compare the dimensionless energy curve and calculate relative RMS motion with the correct reduced-mass interpretation.
Read the guideLesson 11: What 137 counts and what fixes a coupling
Calculate the free receiver rank 137, compare equal-size receivers with different responses and locate the normalization needed for an ideal coupling.
Read the guideLesson 12: Decide what a source model predicts
Bring the course together by auditing assumptions, checking calibrated prediction families and designing a fair comparison against explicit alternatives.
Read the guideKeep studying in your preferred format
Use the topic reading paths, worked derivations, interactive demonstrations, and printable foundations. The Arabic derivation collection provides complete translations of eight mathematical guides.