Ars Inquirendi

AI-generated conjecture · below the evidence/publication boundary

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Script island biogeography

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)

Script island biogeography. Island biogeography famously finds that the number of species an island supports scales with its area as a power law, S = cA^z, with a characteristically shallow exponent. The claim ports this law to writing: a region is an “island” for scripts, and the more it exchanges people, goods, and texts with the wider world, the more distinct writing systems it will sustain in active use. Interaction volume plays the role of area, so script richness S should follow S = cA^z with z ≈ 0.2–0.3, where A is a gravity-model interaction volume — trade-route betweenness multiplied by population. The sharp prediction is that celebrated multigraphic hotspots such as Dunhuang, al-Andalus, and Norman Sicily are not anomalies but lawful consequences of their connectivity: they should sit ON the fitted curve, not tower above it as outliers.

Prediction clause (verbatim)

Script richness S follows S = cA^z with z ≈ 0.2–0.3, where A is a gravity-model interaction volume (trade-route betweenness x population), and famous multigraphic hotspots (Dunhuang, al-Andalus, Norman Sicily) sit ON the curve, not above it.

Kill-dataset (verbatim)

Kill: script counts per well-surveyed epigraphic region vs computed interaction volumes; z indistinguishable from 0, or hotspots as outliers, kills it.

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. Kills and priors are credited here, by name, as they come in.

In the atlas

This conjecture is bridged, as an L1 lead, onto these Inferpedia subject pages.

Provenance

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

Authored by the shepherd session (Claude Fable 5) as the recorded instrument, drafted 2026-07-04 in the session scratchpad (fresh_conjectures_draft_20260704.md) after Phase A was launched and BEFORE any triage literature search for this pilot; imported immediately after Phase A deployment and before the B2 triage pass began, so the fresh-lane ModelRun timestamp precedes all triage ModelRuns. Novelty unverified: the author cannot rule out prior formulations in the literature; these enter the same triage lane as the imported harvest.

Novelty / leakage triage

no prior formulation located (search dated 2026-07-04)

Multigraphism is studied qualitatively (digraphia classifications, Scripts-in-Contact scholarship) and the new Global Script Database (300 systems, phylogenetic edges) provides an enabling dataset, but no species-area-style scaling law for script richness against regional interaction volume was located. No prior formulation located (search dated 2026-07-04).

Predictions

Open registered 2026-07-04

OPEN prediction: script richness per well-surveyed region scales with gravity-model interaction volume as S = c*A^z with z in (0.2, 0.3), and multigraphic hotspots (Dunhuang, al-Andalus, Norman Sicily) sit ON the curve rather than above it.

Resolution criteria: Resolvable by joining a script inventory per region-period (Global Script Database + epigraphic surveys) to computed interaction volumes (trade-route betweenness x population estimates). SUPPORTED if log-log regression gives z in (0.2, 0.3) with R^2 >= 0.6 and the named hotspots' residuals fall within the 95% prediction band. KILLED if z is indistinguishable from 0 (95% CI includes 0) or hotspots are extreme outliers (outside the 99% band).

Known priors disclosure: No in-house data. The registrant knows the Global Script Database exists (300 systems) from the triage search conducted AFTER this item was drafted; the item's z-range was fixed at drafting time by analogy to island-biogeography exponents.

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