Book 3 · The Mini-Beast · Chapter 24 of 44

The 14-Week Structure

Each week is one full operator pass at increasing density.

14 cycles, 3 passes

Sigil 14 Operator F CEFR C1 Week 11
C · CompressionK · ThresholdF · FoldU · UnfoldingG · Generation

OrientationOne Full Operator Pass Per Week

Each week block pairs a CEFR level with a chapter. The operator sequence runs to completion every week; what increases is density, not the number of operators.

This is why the program can be described as three passes rather than fourteen lessons. A student who drops out at week 6 has not learned less of the sequence — they have run it at lower resolution.

Week by WeekChapters, Levels, Tasks

Weeks 1–2 · A2The operator sequence in daily life — C→K→F→U in biology, weather, cooking. Tasks: complete and label. Read Chapter 1, The dm³ Framework.
Weeks 3–4 · B1Biological instantiations: HPA, circadian, neural rhythms. Tasks: explain and compare. Read Chapter 2, Biological Instantiations.
Weeks 5–6 · B1–B2Plasma reconnection: the X-point, the fold, the new topology. Tasks: analyse connections. Read Chapter 3, Plasma-Sheet Reconnection.
Weeks 7–8 · B2Market volatility: price trajectories, regime shifts, κ*. Tasks: justify predictions. Read Chapter 4, Market Volatility Manifolds.
Weeks 9–10 · B2–C1Neural embedding geometry and the coherence bridge. Tasks: full analysis. Read Chapter 5, Neural Embedding.
Weeks 11–12 · C1The Coherence Bridge Theorem — all six orbits as one system. Tasks: full analysis and critique. Synthesise all five chapters.
Weeks 13–14 · C1–C2Student research contributions. Your own question, your own proof, original research toward a Zenodo deposit.

The Density CurvePass 1 to Pass 3

Weeks 1–4 are Pass 1: the sequence stated linearly, one operator at a time, with everyday referents. Weeks 5–10 are Pass 2: the same sequence at domain resolution, where the operators acquire numbers. Weeks 11–14 are Pass 3: the sequence applied to itself, where the student uses the framework to generate something the framework did not contain.

Milestones fall at the pass boundaries rather than at even intervals — week 6 (first public log) and week 12 (first deposit) — because that is where the resolution changes.

Beyond Week 14The 16-Week Extension

The extended program adds research writing in academic English, publication of original work on Zenodo, GitHub documentation and Pages, and AXLE verification in Lean 4.

Weeks 13–14 · ResearchThe student's own research phase. The questions asked are not pedagogical exercises; they belong to the actual field. The student is not learning about the field — they are in it.
Week 15 · VerificationLean 4 formalisation and AXLE verification. Proofs are checked by machine. The honest sorry marks the open question rather than hiding it.
Week 16 · PublicationZenodo upload, GitHub Pages with live documentation, and the transition from student to contributor. D1 is crossed when a contribution extends the system itself.
Why the program converges

The argument, and its limit

Because G is a contraction, every application brings the learner closer to the fixed point Γ*. Each student’s fixed point is unique, because each begins from a different seed structure X₀; the path is shared and the destination is not. And because G is non-commutative, the learner cannot return to an earlier phase — the irreversibility is the guarantee that the learning is real.

Two honest qualifications. The contraction argument establishes convergence, not a rate, so ‘fourteen weeks’ is a pedagogical choice and not a corollary. And in the toy system where the basin has actually been computed, the guaranteed region is asymmetric: the symmetric Grönwall ball |r − 1| < 1/3 is not merely blunt, it misclassifies orbits, with the true inner boundary at r★ = 0.77594058 rather than 2/3. Applied to learners, that is a warning against assuming a student who is equally far from the fixed point in either direction is equally likely to reach it.

BridgesWhere This Connects

← PreviousThe Correspondence