One Thousand and One Conjectures

Statue sizes follow competitive-escalation dynamics ending at a resource frontier, predicting the largest unfinished statue lies at the feasibility boundary. Falsify: size chronology plus transport energetics.

Dimensional standardization (CV of amphorae and lamps) falls as a power law of cumulative regional output — the learning curve, two millennia early. Falsify: typology metrics vs production estimates.

Ceramic firing temperatures decline during deforestation episodes — kilns as energy-scarcity gauges. Falsify: refiring tests vs pollen/charcoal records.

The recycling fraction in Roman glass (antimony–manganese mixing) rises with political crisis and distance from Levantine furnaces — a business-cycle indicator in silica. Falsify: compositional time series through the 3rd century.

Pre-theoretic builders converged on a diameter-to-length power law near modern acoustic optima — empirical physics before physics. Falsify: measured medieval pipework.

Viking plank widths and scarf spacing sit at the crack-arrest optimum for oak — naval architecture as fracture mechanics. Falsify: ship-timber metrology plus material testing.

Standard dispersion (cubit rods, brick molds) tightens under strong dynasties and loosens in intermediate periods — measurement variance as a government-strength index. Falsify: museum metrology by period.

Exchequer tally notch geometry encodes redundancy beyond face value — anti-fraud bits in a split physical token. Falsify: metrology of surviving tallies for non-value-bearing regularities.

Cylinder-seal engraving complexity scales with the holder's transaction exposure — forgery cost calibrated to forgery incentive. Falsify: glyptic entropy vs archive roles.

Unopened clay envelope-bullae let us measure ancient audit failure: token–marking mismatch rates should be near zero normally and spike at institutional collapse. Falsify: CT programs on museum bullae.

The Dresden Codex Venus corrections walk the optimal Stern–Brocot path toward the true synodic period — best-rational-approximation arithmetic. Falsify: the codex's own correction scheme.

Post-1200 church orientation errors should trace the geomagnetic declination curve — dating compass adoption in the building trades and refining archaeomagnetism at once. Falsify: orientation databases vs paleo-declination.

Chart accuracy per route scales as 1/√(voyage traffic) — maps as averaged compass logs. Falsify: cartometric route error vs traffic proxies.

Roman colonial grid azimuths match sunrise on foundation-festival dates, so grids encode founding dates we've lost. Falsify: azimuths vs the colonies whose dates we know.

Cairo grain prices follow Nilometer minima with a fixed ~9-month lag and asymmetric response — droughts move prices more than good floods. Falsify: joined series.

Before the 19-year cycle fossilized, Mesopotamian ad-hoc leap months cluster after poor harvests — the calendar as economic stimulus. Falsify: dated intercalations vs flood and price proxies.

Portable Roman dials cut for the wrong latitude reveal central workshops exporting blind; misfit errors should cluster by workshop signature. Falsify: latitudinal misfit clustering in the dial corpus.

Tooth-module standards should form a measurable transmission chain from Antikythera-era Greek gearing through the Byzantine sundial-calendar to Islamic geared astrolabes. Falsify: comparative tooth metrology.

City abandonment order follows storage-per-capita crossing a common threshold — a percolation collapse, not a uniform drought story. Falsify: LiDAR reservoir volumes vs terminal monument dates.

The canal network operated at self-organized criticality: repair and flood events in sediment should be power-law distributed, with the fatal event on the same distribution's tail. Falsify: sediment cores plus LiDAR.

Foggara abandonment should propagate radially outward from the depleting fossil aquifer's center in the exact sequence a drawdown model predicts. Falsify: settlement dates vs hydrogeological modeling.

Medieval strip scattering tracks the local yield covariance matrix (recoverable from modern soil data): more scattering where covariance is low across micro-zones, early consolidation where it's high. Falsify: field-system GIS vs soil covariance.

Watermill adoption follows a Bass curve whose innovation coefficient is set by monastic presence — monks as the p-parameter of medieval technology. Falsify: dated mill records by region.

Maya settlement rank-size should be Zipfian within unified polities and log-normal in fragmented eras — settlement statistics as a political-integration gauge. Falsify: LiDAR settlement hierarchies vs epigraphic political history.

Nave RT60 and repertoire co-evolved: long-reverb churches correlate with slower, more melismatic chant and early organum. Falsify: acoustic measurement of Romanesque/Gothic naves vs local repertoire.

Muqarnas vaulting measurably evens the reverberant field for recitation compared to smooth domes of equal geometry — ornament with an acoustic function. Falsify: paired measurements in Iranian mosques.

Vomitoria design achieves evacuation times meeting modern stadium standards — safety engineering by iteration. Falsify: agent-based egress simulation on the actual plans.

Merer's logbook and quarry marks imply block deliveries arrived as a Poisson process modulated by Nile stage. Falsify: inter-arrival statistics in the Wadi al-Jarf papyri.

Inca way-station spacing is constant in energy cost (Tobler's hiking function), not distance — the empire measured in calories. Falsify: GIS energetics along the Qhapaq Ñan.

Mark distributions across coursework reconstruct shift schedules: batch sizes should be Poisson and gangs should alternate by course. Falsify: mark spatial statistics at documented cathedrals.

Greek and Roman astragalus throw scores are inversely proportional to empirically measured face probabilities — implicit odds-pricing two millennia before probability theory. Falsify: toss experiments vs attested scoring.

Roman die asymmetry clusters by workshop tradition, not period — craft transmission of unfairness. Falsify: 3D-scan corpora.

Oracle-bone crack outcomes are statistically random, but question sequencing shows diviners applying gambler's-fallacy corrections — a court managing its own random number generator. Falsify: streak statistics in the Anyang corpus.

Early received hexagram records should match the asymmetric yarrow-stalk probabilities and later ones the symmetric coin method — a statistical date for the method change. Falsify: frequency analysis of Zuozhuan vs later corpora.

Recorded oracle ambiguity (countable branch interpretations) scales with the stakes and uncertainty of the question — hedged forecasting as institutional survival. Falsify: coding the Fontenrose catalog.

Paired accounting khipus from checker-pairs of officials should differ in patterns consistent with independent encoding plus reconciliation — error-correction, not duplication. Falsify: Khipu Database pair analysis.

Island settlement order follows detectability radius (bird range, cloud, swell shadow), not distance — optimal search theory in the Pacific. Falsify: radiocarbon settlement dates vs a detectability index.

Dentate-stamp motif entropy rises as the exchange network fragments — pottery decoration as a network-cohesion gauge. Falsify: motif databases through the Lapita sequence.

Trace-element signatures in blue stained glass should shift with documented disruptions of Asian trade routes — windows as sensors of Eurasian politics. Falsify: dated glass panels vs route-history chronology.

Joins capture-recapture ecology to Greek philology: works attested by exactly one and exactly two witnesses play the role of singleton and doubleton species, so the Pinakes witness-count table is an ecological sample from which the size of the lost Greek library is…

Joins statistical seismology to archival formation processes: an administrative archive forms like an earthquake sequence, a main shock (a reform, a new institution, an accession) followed by an Omori-law power-law decay of documentation, not a symmetric rise and fall and not an…

Joins public-finance bunching estimators (the kink analysis used on modern tax records) to the Chinese examination system: regional pass quotas, not the geography of talent, shaped the spatial distribution of the empire's elite, and quotas leave the same tell-tale excess mass at…

Joins index-number theory (chained consumer-price-index construction) to Tamil temple epigraphy: thousands of dated endowment inscriptions quoting paddy, ghee, and oil rates for perpetual lamps constitute a computable medieval price index, and Chola war finance should be visible in it as inflation episodes.

Joins stream-power hydrology to the fiscal cadastre: the 1086 Domesday survey unwittingly recorded a physics meter, because a mill's render capitalized the hydraulic power of its site; feudal rent should therefore scale with drainage-area-times-slope like an engineering formula.

Joins the economics of crime (offenses rise when returns rise and legitimate wages fall) to the Deir el-Medina archives: the great Ramesside tomb-robbery scandals were a real-wage event, timed by grain arrears and price spikes rather than by any change in policing.

Joins transport-cost linear programming to the Codex Mendoza: the Aztec tribute assignment approximates the solution of a value-per-porter-load optimization, so distance from Tenochtitlan should predict the value density of what a province owed.

Joins statistical process control (control charts and capability indices) to Andean ceramics: Inca state pottery was tolerance-controlled output, so dimensional variance is a direct index of administrative reach, tightening toward the capital and loosening down the provincial hierarchy.

Joins web-graph topology (the Broder bowtie anatomy of the early web) to hadith science: the transmission paths from the Prophet to the canonical collectors route through a tiny strongly-connected core of professional transmitters, the classical madar phenomenon, giving the corpus the same…

Joins the economics of luxury counterfeiting to Japanese sword connoisseurship: forged signatures (gimei) on blades are counterfeit branding, so the forgery rate should rise steeply with the smith's brand equity, exactly as fake rates concentrate in the top handbag brands today.

Joins actuarial insurance pricing to maritime archaeology: fourth-century BCE Athenian bottomry rates were risk-priced to break even, so the loss probability implied by loan spreads must match the wreck rate implied by the archaeological record, two completely independent instruments reading the same…