Ars Inquirendi

AI-generated conjecture · below the evidence/publication boundary

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Oil-and-water scriptoria

Status: No prior located

Status is derived only from the shepherd-authored triage/prediction data above -- community submissions and claims are a separate overlay and can never change it (see the participation panel below).

This is a proposed connection between two domains, generated by a language model. It is not an article and not evidence: it sits below the evidence/publication boundary. A quantitative prediction and a named kill-dataset are attached (when registered) so the claim stays falsifiable rather than merely evocative.

Claim (verbatim)

Oil-and-water scriptoria. Phase separation in soft-matter physics says a mixture of immiscible components does not sit stably at half-and-half: it demixes into nearly pure domains, depleting the middle of the composition spectrum. This conjecture applies that instability to monastic geography in the vHMML catalogues of Eastern Christian manuscripts. The mechanism is feedback: a centre's holdings compound themselves, as the scribes, exemplars, patrons, and liturgical needs of the dominant tradition reinforce its dominance, so a mixed-tradition centre either purifies toward a single tradition or crosses into being a genuine multi-tradition entrepot — the half-mixed middle is unstable. The distribution of the majority-tradition share across manuscript places should therefore be bimodal: most places nearly pure, a small entrepot minority near even mixing, and a depleted band between them, with a formal dip test rejecting the single smooth hump that stable mixing would produce.

Prediction clause (verbatim)

Among vHMML places with >= 20 manuscripts, the distribution of the majority-tradition share is bimodal: >= 55% of places have a majority share >= 0.9, <= 12% fall in the 0.5-0.75 band, and Hartigan's dip test rejects unimodality at p < 0.01; a smooth unimodal hump near 0.7 kills it.

Kill-dataset (verbatim)

Kill: vHMML places and traditions (in house).

Nobody has run this test. The kill-data is named above. If you can run it — or you know the paper that already settles it — claim the kill or submit the prior scholarship. Kills and prior scholarship are credited here, by name, as they come in.

On Inferpedia

This conjecture has been linked to the following subject pages on Inferpedia — an encyclopedia of the missing, now in limited preview.

Provenance

Run: Fresh agent generation · model: claude-fable-5

Generated by a fresh Fable-tier instance at maximum effort with generation-first blindness (no repo/web/DB access); titles-only knowledge of existing items, embedded in titles_supplied per the batch-2 lane rule; prompt pre-committed in docs/GOAL_CONJECTURES_BATCH3_20260705.md (b043140). Novelty unverified by construction. titles_supplied stripped to the committed sidecar conjecture_fresh_fablemax_batch3_titles_supplied_20260705.md at import (schema additionalProperties:false; relaxation queued).

Novelty / leakage triage

no prior formulation located (search dated 2026-07-05)

The physics side (condensation-vs-demixing in many-component systems) is current research and genuine multi-tradition centers are attested (St. Catherine's; Scetis polyglots), but no bimodality/dip-test quantification of place-level tradition composition was located. No prior formulation located (search dated 2026-07-05).

Predictions

No prediction registered yet.

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