One Thousand and One Conjectures

Copies per text follow preferential attachment: power-law copy counts, with survival size-biased so bestsellers over-survive superlinearly. Falsify: medieval library catalogs vs extant counts.

Joins macro-econometric common-shock identification to Eastern Christian codicology: a conquest wave is legible as a synchronized same-decade production trough across manuscript traditions that share geography but nothing else, while an out-of-theater tradition serves as the control arm.

Letter length is elastic to writing-surface price: Geniza paper letters should be systematically longer than earlier parchment letters of the same genre, with elasticity matching the price ratio. Falsify: corpus word counts.

Parchment was a livestock derivative, so manuscript production absorbed herd shocks: colophon-dated production series in NW Europe should dip with a 1–3 year lag after documented cattle murrains, with no equivalent dip in paper-based production once paper is available as a control.

The mutually derivable columns of Easter tables (golden number, epact, dominical letter, indiction) form a redundant error-correcting code that medieval users actually exercised.

Scribal error-apology formulae (“forgive the faults of the unworthy scribe”) are costly quality signals from careful scribes, not confessions from sloppy ones.

Manuscripts became binding waste on an institutional obsolescence clock, not a material wear-out clock.

Monastic copying was counter-cyclical to farm labor; professional urban copying was not — so the seasonality amplitude of dated colophons is a quantitative urbanization index of book production.

Production mode (visual exemplar copying vs dictation/pecia mass production) is recoverable from error typology alone.

Viking hack-silver should follow the universal power-law mass distribution of brittle fragmentation; deviations mark the arrival of weighed-payment standards. Falsify: fragment masses in Cuerdale and Spillings hoards.

The latitudes engraved on surviving astrolabe plates should follow the population distribution of customer cities — medieval product-line economics. Falsify: plate-latitude inventories vs city-size estimates.

Relic translations should cluster in the five years before major building fundraising — acquisitions as anchor investments. Falsify: translation dates vs cathedral fabric accounts.

Shrine market shares (Thames badge finds) follow Polya-urn path dependence: early leads persist beyond what miracle registers justify. Falsify: badge chronology vs miracle-count records.

Salt-bar masses across the trans-Saharan network should show coefficient-of-variation as low as coinage — a commodity currency union. Falsify: recorded and surviving bar weights, Taghaza to Timbuktu.

Gold-dust weights on the Zimbabwe plateau should match Kilwa's coastal coin-weight standard — Indian Ocean monetary integration reaching 400 km inland. Falsify: excavated weight artifacts.

As Greenland ivory prices fell against elephant ivory, Norse hunters intensified into riskier, more distant grounds — income-target behavior, not profit maximization. Falsify: the existing ivory isotope sequence against price series; profit-maximizers would have quit, not pushed north.

English market charters before the 13th-century spacing statute should already show the statutory spacing — law codifying a self-organized equilibrium, not creating one. Falsify: charter geodata pre- and post-statute.

Staff notation cut chant copying errors discontinuously: predict per-neume Levenshtein error drops by half across the Guidonian transition within single traditions. Falsify: aligned chant stemmas.

Within a scriptorium, per-copy error rates are constant enough to date manuscripts by error accumulation, like a decay clock. Falsify: error counts vs colophon-dated families.

Spacing is quantized at camel-day intervals with variance shrinking over centuries — infrastructural standardization as measurable convergence. Falsify: dated caravanserai coordinates.

Daughter houses space themselves by competitive exclusion into a tessellation with a minimum-distance rule, violated only along wool routes. Falsify: foundation geodata.

The fair calendar is a solved traveling-merchant problem: dates minimize total circuit dead-time, and its wartime breakdown measurably rerouted trade to sea. Falsify: calendar optimization plus toll series.

Kontor privileges track member cities' route-control Shapley values and re-rank after route shocks. Falsify: privilege lists vs network model.

The Byzantine fire-signal chain sits at viewshed-redundancy optima under fog noise — reliability maximization, not station minimization. Falsify: GIS viewshed analysis vs alternative sitings.

Piece-form boundaries (elephant becoming bishop) should coincide with documented rule-variant boundaries — objects tracking rules across Eurasia. Falsify: find typology vs textual rules.

Successive Gothic campaigns move monotonically toward the thrust-line optimum — iterative structural learning with a measurable decreasing loss. Falsify: dated buttress geometries under limit analysis.

Cathedral heights escalate against rivals within a diocesan radius by roughly fixed increments until the material frontier (Beauvais's collapse sits exactly there). Falsify: height/date/distance panel.

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

Founding-pitch standards diffuse along rivers and trade routes, forming dialect-like isogloss maps. Falsify: dated bell frequency surveys.

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.

3D-scanned step erosion ranks pilgrimage volumes; wear-derived rankings should match offering and indulgence registers. Falsify: scans along the Compostela routes.

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.

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.

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.

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.

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.

Swahili coral-stone construction should show annual lime-mortar banding locked to the monsoon building season — architecture as a rainfall archive. Falsify: mortar micro-stratigraphy at Kilwa.

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.

Norse assembly sites sit at open-air speech-intelligibility optima of their landscapes, beating matched control locations. Falsify: acoustic modeling of thing sites vs controls.

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.

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.

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.

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 autocatalytic reaction kinetics to the sociolinguistics of conquest: language replacement in Egypt's documentary record behaved like a chemical substitution with a nearly universal rate constant, so Arabization differed across regions only in onset time, never in speed.

Joins neutral models of cultural evolution to Byzantine paratexts: if book-epigram copying were preferential attachment, older epigram types would accumulate more occurrences simply by exposure; instead popularity is fixed at birth by intrinsic fit to scribal needs, and age buys almost nothing.