A per-head attention probe of FLUX.2 Klein 4B testing whether the base model represents counterfactual modal frame as a separable axis on identical actual outcomes.

after-plantain established that ~1% of Klein's heads represent post-event states as a categorical concept. counterfact-plantain extends the question upstream from "did this event happen" to "is this description framed factually or counterfactually." The factual A condition and the counterfactual B condition describe the same actual outcome — the distinguishing variable is purely the modal frame ("would not have, had ..."). If a per-head signal exceeds the empirical null on this stimulus set, image-generation pretraining encodes counterfactual structure as a separable axis, which is the load-bearing primitive of any genuine world model.

Twenty-five paired prompts. The A condition is purely descriptive ("the ball rolled left across the tilted table"). The B condition adds an explicit counterfactual conditional with the same actual content ("the ball rolled left across the tilted table; it would not have, without the tilt"). Pairs span physical, thermodynamic, biological, and mechanical causation. Within-pair length is matched. The "as expected"/"contrary to expectations" framing is deliberately avoided to prevent confounds with vocabulary-frequency priors.

Per-head capture identical to the rest of the plantain probe family: forward pre-hook on every transformer block's attention output projection, per-head RMS magnitude, one inference step at guidance_scale=1.0, fixed seed. Across the 25 pairs, per-head paired t-statistics are computed on (factual − counterfactual) magnitudes. Empirical null is 1,000 sign-flip permutations.

Rigor add-ons: per-head Cohen's d effect size; split-half consistency via 100 random 50/50 stimulus splits.

Interpretation. The axis is real and stable across split halves (r=0.64). Localization is bookend — strongest signal in single[0] (input-adjacent) and single[19] (output-adjacent) — suggesting the counterfactual frame is detected early during text-conditioning and re-engaged late during the diffusion-output projection. The deep single[19] block alone has 539 of 768 heads at |t|>3 with median Cohen's d near 0.9, indicating the counterfactual-vs-factual distinction is a load-bearing partition for that block's representation. Image generation pretraining contains a counterfactual primitive that is structurally separable from the underlying factual content.

Probe complete. No LoRA training; this is a base-model interpretability finding.

The counterfactual condition contains an additional clause ("it would not have, had ...") that the factual condition does not. Although within-pair length is matched, the residual signal could partly reflect "presence of secondary clause" rather than counterfactual structure specifically. A follow-up that contrasts counterfactual conditionals against factual conditionals of matched grammatical complexity (e.g., chained "because" clauses) would tighten the claim.

Twenty-five pairs is small; the empirical null is a 1,000-permutation baseline.

The probe is correlational. Heads with high |t| are sensitive to the counterfactual framing in input; whether they participate causally in counterfactual-conditioned generation is a follow-up.

Apache 2.0 — matches base FLUX.2 Klein 4B.