One Thousand and One Conjectures

The gravity model of trade — flows decay with distance, and how steeply they decay depends on what the goods are worth relative to what they cost to move — is here tested on sourced ancient artifacts. Provenance science can trace both…

Stemmatics — reconstructing the family tree of manuscripts from shared copying errors — is here fused with computational astronomy. A dated horoscope is a calculation: the astrologer looked up planetary positions in one specific physical copy of a set of astronomical tables…

Among the ostraka cast against Themistocles, a famous deposit of 190 sherds turned out to have been inscribed by just a few hands — prepared ballots, evidently readied for distribution to voters. The conjecture generalizes this find into a testable model of…

The walls of Pompeii preserve genuine written conversations: graffiti that answer, mock, and extend earlier graffiti on the same surface, recorded in CIL IV. Modern online forums show a robust statistical signature in how such exchanges unfold — the distribution of reply…

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 —…

The Tabula Peutingeriana, the famous medieval copy of a Roman route map, was almost certainly compiled from multiple earlier itineraries rather than drawn from any single survey. Each source itinerary would carry its own error habits — its own units, rounding conventions,…

Ancient shipwrecks preserve frozen samples of trade: each cargo is a snapshot of what was moving, and from where, at the moment of sinking. The Shannon entropy of cargo composition — how mixed a ship's load is across goods and origins —…

Iron Age hillforts were often built within sight of one another, and lines of sight are functional links: signals, warnings, and social monitoring all flow along intervisibility. Computed from digital elevation models, the intervisibility graph of a hillfort landscape can therefore be…

Transport science distinguishes two ideal networks: the Wardrop user equilibrium, in which each traveler selfishly takes the route fastest for himself, and the system optimum, in which a planner routes everyone so as to minimize total travel time. The two diverge precisely…

Roman aqueducts held gradients of centimeters per kilometer over tens of kilometers, and how surveyors achieved this with simple instruments is a genuine puzzle. Statistics offers a diagnostic: if each leg of a survey adds a small independent error, accumulated error grows…

This joins Roman timekeeping to the archaeology of mass production. A sundial only reads true at the latitude it was cut for, and a surprising number of portable Roman dials are misfits — engraved for latitudes far from where they were found.…

The Garamantes of the Libyan Fezzan built one of antiquity's great irrigation systems: hundreds of kilometres of foggaras — underground channels of the qanat family — tapping a fossil aquifer left over from a wetter Sahara, water that was being mined, not…

The astragalus — the ankle bone of a sheep or goat — was the everyday die of Greek and Roman gaming, and unlike a cube it is honest about its dishonesty: its four usable faces land with very different frequencies, broad faces…

Roman dice are notoriously irregular — surviving cubes are often visibly asymmetric, with face dimensions and pip placement far from the modern standard — and the crookedness has usually been waved off as indifference to fairness. Asymmetry, though, is measurable: 3D scanning…

The two classical ways of casting the I Ching generate hexagrams with different statistics: the older yarrow-stalk procedure is asymmetric — its line-types fall with unequal probabilities, making some changing lines markedly likelier than others — while the later coin method is…

A forecaster facing a high-stakes, high-uncertainty question hedges — wide intervals, conditional phrasing — because a confident miss is fatal to credibility; options markets price the same logic as implied volatility. The oracle at Delphi faced the identical institutional problem for a…

Joins eigenvector centrality — the recursive logic behind Google's PageRank, in which authority flows to those cited by the authoritative — to Roman jurisprudence. The Law of Citations of 426 CE decreed that courts follow five jurists — Papinian, Ulpian, Paulus, Modestinus,…

Milton Friedman's plucking model of business cycles holds that an economy runs along a capacity ceiling from which recessions pluck output downward: deep slumps rebound fast, while booms say nothing about the next bust. This conjecture transposes that asymmetry onto documentary papyrology's…

Lanchester's attrition laws distinguish two regimes of combat: aimed fire, where any unit can concentrate on any enemy, yields the square law, in which numerical superiority compounds; frontage-limited melee, where only the front ranks engage, yields the linear law. This conjecture maps…

Price-ceiling economics predicts that goods capped below market price withdraw from legal, recorded exchange, while goods capped at or above market trade on visibly. This conjecture reads Diocletian's Price Edict of 301 CE through that lens: the Edict's famous failure should be…

Joins the diffusion of literary-epistolary fashion to settlement hierarchy in Greco-Roman and late antique Egypt: the private letter is the one literary micro-genre with tens of thousands of dated, placed witnesses, and its opening and closing formulas (the chairein prescript, the erroso…

Connects the growth history of the Mahabharata to the economics of recitation patronage: a battle narrative has continuity constraints — insert a fresh duel and someone already dead is fighting — while didactic discourse is modular, and a patron endowing a recitation…

Joins Sanskrit metrics to stemmatics as a dating instrument: the epic shloka admits licensed variations (the vipula forms) whose frequencies drifted historically toward the stricter classical norm, and an interpolator cannot help writing the verse rhythm of his own training. Passages rejected…

Joins the design of the Tamil Sangam anthologies to archival practice: the Ettuttokai collections declare poem-length bands (Kuruntokai short, Akananuru long), which means length was the filing system by which loose songs were binned into books. A filing system leaks its history:…

Steppe animal-style motifs crossed gold, openwork bronze, felt, wood, and tattooed skin. What a mobile craftsman memorizes is the armature — which limb crosses which, how the coil closes, how many contact points — while proportions are re-fitted to every object. Topology,…