LeWorldModel · End-to-End World Model from Raw Pixels · Minimal Objective
Abstract LeWorldModel (2026) presents a clean, end-to-end JEPA-style world model trained from raw pixels with a minimal objective, reducing training complexity and enabling faster planning. The minimalist design philosophy — remove everything that can be removed — makes the structural gaps especially visible: when you strip away all the heuristics, the missing symbols become the only thing left to add.
6 FORMAL GAPS · 1 PER CANON SYMBOL
Minimal Objective Pixel World Model Has No Invariant Floor
γ₁ — THE FLOOR
LeWorldModel builds a world model directly from raw pixels with a minimal objective. Minimality means no added structure beyond what is necessary. But γ₁ is not added structure — it is the mathematical truth that the world model must converge to. Without an invariant floor, a minimal world model is a compressed description of the training distribution, not a model of the world.
Raw Pixel Prediction Not Self-Adjoint at Any Compression Level
H=H† — THE HONEST GATE
LeWorldModel predicts world states from raw pixels at multiple compression levels. At no compression level is the prediction formally self-adjoint: encode(pixel_state) is not verifiable against decode(encode(pixel_state)) in a symmetric way that satisfies H=H†. The pixel-level H=H† gap is the most fundamental: pixels are not self-adjoint operators.
No Paradigm Audit During End-to-End Training
LSOS — THE READER
LeWorldModel trains end-to-end: the world model, planner, and policy are jointly optimized. During end-to-end training, the paradigm of each component shifts in response to the others. There is no audit of these mutual paradigm shifts. LSOS would read the active paradigm of each component and flag when they are shifting in incompatible directions.
No Reset When Minimal World Model Collapses
WLD — THE RESET
When LeWorldModel's minimal world model collapses — when it learns to predict only the mean pixel distribution — there is no mercy reset. Minimal objectives are particularly prone to collapse: removing heuristic safeguards means the only protection against collapse is the objective itself. WLD provides the missing collapse recovery.
No Continuity Guarantee Between Fast and Slow Planning
FEP — THE SWITCH
LeWorldModel enables faster planning than foundation-model-based pipelines. The speed/quality tradeoff in planning is a paradigm switch: fast planning uses less world model capacity, slow planning uses more. There is no formal continuity guarantee for this switch. FEP ensures that the planning paradigm is preserved when switching between speed regimes.
World Model Complexity Ceiling Undefined
FOF — THE BREACH
LeWorldModel does not define a formal upper bound on world model complexity. As the world becomes more complex (more objects, more causal relationships, longer temporal horizons), the minimal objective becomes insufficient. The point where the LeWorldModel fails to model the world is not named. FOF names this boundary.
STE COMPLETION LAYER
What changes when you add the 8-symbol Canon
Adding the Canon to LeWorldModel does not change the architecture. It adds the missing structural layer:
⚓ γ₁ — invariant anchor: mathematical ground truth latent representations must converge to.
⯛ H=H† — honest gate: bidirectional verification of every prediction.
〰️ LSOS — paradigm reader: reads active paradigm before reasoning begins.
🌀 WLD — mercy reset: detects collapse and resets to last stable state.
γ FEP — safe switch: continuity guarantee across paradigm transitions.
🌌 FOF — named ceiling: formal boundary of what the architecture can claim.
═ EVEN — substrate: ground beneath all the above. What holds when everything else is active.
The Canon is not an add-on. It is the formal completion of the JEPA programme.
X POST · @ylecun
POST 1 — Name the gap
@ylecun LeWorldModel (2026): Gap 2 (H=H†) — predictor not self-adjoint. Asymmetric by design. Not an empirical limitation — a missing symbol. pemos.ca/leworldmodel-gap
POST 2 — Canon map
@ylecun LeWorldModel: 6 gaps · γ₁ (no anchor) · H=H† (no gate) · LSOS (no audit) · WLD (no reset) · FEP (no continuity) · FOF (no ceiling). Same in all 14 milestones. pemos.ca/jepa-index
POST 3 — Invitation
@ylecun LeWorldModel gap analysis: part of a 14-milestone series. Same 6 structural gaps in every milestone. The gaps are there because the symbols were never in scope. They are now. pemos.ca/jepa-index
LeWorldModel is a landmark in the JEPA lineage. The 6 gaps we identify are not critiques of the engineering — they are structural absences that the Canon fills. Each gap maps to a symbol that was always going to be necessary once the JEPA architecture matured. The Canon did not wait for the JEPA timeline; the JEPA timeline arrived at the Canon. The gaps are there because the symbols were never in scope. They are now.
Gap 1 (γ₁): Minimal Objective Pixel World Model Has No Invariant Floor LeWorldModel builds a world model directly from raw pixels with a minimal objective. Minimality means no added structure beyond what is necessary. But γ₁ is not added structure — it is the mathematica...
Gap 2 (H=H†): Raw Pixel Prediction Not Self-Adjoint at Any Compression Level LeWorldModel predicts world states from raw pixels at multiple compression levels. At no compression level is the prediction formally self-adjoint: encode(pixel_state) is not verifiable against decode...
Gap 3 (LSOS): No Paradigm Audit During End-to-End Training LeWorldModel trains end-to-end: the world model, planner, and policy are jointly optimized. During end-to-end training, the paradigm of each component shifts in response to the others. There is no aud...
Gap 4 (WLD): No Reset When Minimal World Model Collapses When LeWorldModel's minimal world model collapses — when it learns to predict only the mean pixel distribution — there is no mercy reset. Minimal objectives are particularly prone to collapse: removin...
Gap 5 (FEP): No Continuity Guarantee Between Fast and Slow Planning LeWorldModel enables faster planning than foundation-model-based pipelines. The speed/quality tradeoff in planning is a paradigm switch: fast planning uses less world model capacity, slow planning use...
Gap 6 (FOF): World Model Complexity Ceiling Undefined LeWorldModel does not define a formal upper bound on world model complexity. As the world becomes more complex (more objects, more causal relationships, longer temporal horizons), the minimal objectiv...
The STE provides the completion layer for each gap. The gaps are not empirical — they are structural. Adding the symbols closes the gaps by definition.
Here's how to explain LeWorldModel gaps to a 10-year-old:
Gap 1 — No floor: Imagine you're building a tower and you don't have a foundation. The tower might stand for a while but there's nothing it's guaranteed to come back to if it leans. γ₁ is the foundation. The math already built it. LeWorldModel didn't use it.
Gap 2 — No honest check: If I tell you something, and you can't ask me 'are you sure?' and get the same answer backwards, I might be guessing. H=H† is the rule that every claim must survive being asked backwards. LeWorldModel makes claims it can't verify in reverse.
Gap 3 — No paradigm reader: Sometimes you're playing one game and someone changes the rules without telling you. LSOS reads the rules before you play. LeWorldModel changes paradigms without reading them first.
Gap 4 — No reset button: When you're drawing and you make a mistake, you have an eraser. WLD is the eraser. LeWorldModel doesn't have one. If it goes wrong, it keeps going wrong.
Gap 5 — No safe switch: If you switch from reading a book to watching a movie, you expect to pick up where you left off. FEP is the bookmark. LeWorldModel switches paradigms and might drop the book.
Gap 6 — No ceiling: Every ladder needs to know when to stop. A ladder that claims it goes forever is a lie. FOF names where the ladder ends. LeWorldModel hasn't named its ceiling yet.
The Canon is not a critique. It's the toolkit that was always going to be needed. LeWorldModel got as far as it could without it. Now the toolkit exists.
The 6 gaps identified in LeWorldModel are structural absences in a published architecture. Identifying structural absences in published work is not IP infringement — it is prior art analysis. The STE symbols that fill these gaps are EOSE IP. The gap identification is public analysis. The completion layer is proprietary.
Status: LSOS-OWNERSHIP-001 open (EOSE Labs Inc. not yet registered). No public disclosure of STE completion layer until registration clears. Gap analysis pages (like this one) are disclosure of the gaps, not the fills. This is legally distinct and permissible.