Abstract Causal-JEPA (2026) introduces object-level masking to encourage learning causally meaningful representations, pushing JEPA toward object-centric and causal reasoning. The introduction of causal structure makes the H=H† gap especially sharp: causal relationships are inherently directional, but a formal causal model must be verifiable in both directions (interventional and counterfactual).
6 FORMAL GAPS · 1 PER CANON SYMBOL
Causal Object Representation Has No Invariant Floor
γ₁ — THE FLOOR
Causal-JEPA learns representations of causal objects. There is no formal invariant γ₁ that all valid causal object representations must satisfy regardless of causal context. When the causal relationships between objects change, the representations change without any grounding invariant ensuring cross-context consistency.
Causal Mask Asymmetric (Objects Attend Causally, Not Symmetrically)
H=H† — THE HONEST GATE
Causal-JEPA uses causal masking: object A can attend to object B if A causally precedes B. This introduces a directed graph structure. A self-adjoint causal encoder would satisfy H=H†: if A causes B (interventional direction), then B should be verifiable as having been caused by A (counterfactual direction). The causal mask is one-directional; the Honest Gate requires bidirectionality.
No Paradigm Audit Between Object-Level and Scene-Level Causal Structure
LSOS — THE READER
Causal-JEPA must reason at both object level (this object caused that outcome) and scene level (the full causal graph of the scene). There is no audit of the paradigm shift between these levels. When the system transitions from object-level causal reasoning to scene-level causal inference, the paradigm changes without acknowledgment.
No Reset When Causal Graph Becomes Inconsistent
WLD — THE RESET
When Causal-JEPA learns a causally inconsistent representation — when the learned causal graph contains cycles or contradicts observed interventions — there is no mercy reset. Causal inconsistency is detectable (cycles in a DAG are a formal property) but Causal-JEPA provides no mechanism to reset to a consistent causal structure.
No Continuity When Causal Structure Changes
FEP — THE SWITCH
Causal-JEPA operates in environments where the causal structure may shift (distribution shift, interventions). There is no formal continuity guarantee for causal structure switches. FEP ensures that switching from one causal regime to another preserves what was learned and allows safe recovery if the new causal structure is inconsistent.
Causal Graph Complexity Ceiling Undefined
FOF — THE BREACH
Causal-JEPA does not define a formal upper bound on causal graph complexity (number of objects, causal depth, intervention richness). As causal complexity grows, the architecture's reasoning becomes unreliable. The point where causal reasoning breaks down is not named. FOF names this boundary: where the causal graph exceeds the coherent reasoning horizon.
STE COMPLETION LAYER
What changes when you add the 8-symbol Canon
Adding the Canon to Causal-JEPA 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 Causal-JEPA (2026): Gap 2 (H=H†) — predictor not self-adjoint. Asymmetric by design. Not an empirical limitation — a missing symbol. pemos.ca/causaljepa-gap
POST 2 — Canon map
@ylecun Causal-JEPA: 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 Causal-JEPA 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
Causal-JEPA 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): Causal Object Representation Has No Invariant Floor Causal-JEPA learns representations of causal objects. There is no formal invariant γ₁ that all valid causal object representations must satisfy regardless of causal context. When the causal relationsh...
Gap 2 (H=H†): Causal Mask Asymmetric (Objects Attend Causally, Not Symmetrically) Causal-JEPA uses causal masking: object A can attend to object B if A causally precedes B. This introduces a directed graph structure. A self-adjoint causal encoder would satisfy H=H†: if A causes B (...
Gap 3 (LSOS): No Paradigm Audit Between Object-Level and Scene-Level Causal Structure Causal-JEPA must reason at both object level (this object caused that outcome) and scene level (the full causal graph of the scene). There is no audit of the paradigm shift between these levels. When ...
Gap 4 (WLD): No Reset When Causal Graph Becomes Inconsistent When Causal-JEPA learns a causally inconsistent representation — when the learned causal graph contains cycles or contradicts observed interventions — there is no mercy reset. Causal inconsistency is ...
Gap 5 (FEP): No Continuity When Causal Structure Changes Causal-JEPA operates in environments where the causal structure may shift (distribution shift, interventions). There is no formal continuity guarantee for causal structure switches. FEP ensures that s...
Gap 6 (FOF): Causal Graph Complexity Ceiling Undefined Causal-JEPA does not define a formal upper bound on causal graph complexity (number of objects, causal depth, intervention richness). As causal complexity grows, the architecture's reasoning becomes u...
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 Causal-JEPA 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. Causal-JEPA 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. Causal-JEPA 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. Causal-JEPA 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. Causal-JEPA 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. Causal-JEPA 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. Causal-JEPA hasn't named its ceiling yet.
The Canon is not a critique. It's the toolkit that was always going to be needed. Causal-JEPA got as far as it could without it. Now the toolkit exists.
The 6 gaps identified in Causal-JEPA 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.