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Herodotus' multiplicative fog
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).
Claim (verbatim)
Herodotus' multiplicative fog. Herodotus reports distances for places he never saw, relayed to him through chains of informants stretching away from the Aegean. Each retelling plausibly multiplies an estimate by some random factor — a merchant rounds up, a guide exaggerates, a translator garbles — and the product of many independent multiplicative errors is, by the central limit theorem applied to logarithms, log-normally distributed. The conjecture is that rumor really does behave as multiplicative noise: Herodotus' distance errors should grow log-normally with the number of informant hops from the Aegean, the spread of the log-errors widening the farther the information had to travel. Comparing his reported distances against true ones should reveal that specific statistical fingerprint, not the additive error of a careless surveyor.
Prediction clause (verbatim)
For each distance Herodotus reports, pair it with the true value from the reported vs true distances dataset, compute the log-ratio error, and estimate informant hops from the Aegean core from remoteness or documented transmission steps. Primary clause: the variance of log-errors increases monotonically across at least three hop bands; within bands the log-errors pass a log-normality test (Shapiro-Wilk on logs, p > 0.05); and the multiplicative (log-normal) error model beats an additive normal-in-levels model by AIC. The verdict follows the primary clause.
Kill-dataset (verbatim)
reported vs true distances.
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
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Provenance
Run: Imported conversation (verbatim harvest) · model: claude-fable-5
Origin: operator conversation with Claude Fable 5 at max effort, conducted 2026-07-03, relayed verbatim by the operator into the shepherd session on 2026-07-04. No ModelRun exists for the original generation (it happened outside the pipeline); this transcript file is the canonical capture. Transcript path: docs/generated/conjecture_harvest_fablemax_20260703.md. Model (operator-attested, not pipeline-recorded): claude-fable-5. Novelty disclaimer (verbatim, load-bearing -- rule 4): "Same caveat as before, doubled: at 100 items across all of archaeology and history, some of these will have cousins in the literature I can't check. What I can guarantee is the format — each links two things not normally linked, and each names the dataset or measurement that would kill it."
Novelty / leakage triage
anticipated in the literature — this exact test has never been run
Statistical analysis of ancient reported-vs-true distances exists in the itinerary-stadion literature (systematic discrepancy estimation for the Eratosthenes/Strabo tradition), and Herodotus's own autopsy-vs-hearsay source hierarchy is well studied; the specific model — error growing log-normally with informant-hop count in Herodotus's distances — was not located.
- 'A common-sense approach to the problem of the itinerary stadion', AHES — Statistical ancient-distance-error methodology, different corpus
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