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.

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

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.

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.

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.

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.

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.

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.

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 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 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 process-engineering labor accounting to Viking naval history: the binding constraint on Norse sea power was textile throughput, not shipwrights; a large woolen sail embodied more person-hours than the hull it drove, so fleets could grow only as fast as spinning capacity.

Joins the cognitive psychology of recall (the serial-position curve: primacy and recency beat the middle) to the stemmatics of oral law: Icelandic law was recited from memory in fixed thirds over three years, so when it was finally written down, the middle…

Joins experience-curve economics (power-law quality improvement with cumulative output) to Islamic mathematical geography: mosque orientation error is a measurable output-quality series spanning eight centuries, and it should fall as a power law in cumulative regional mosque construction as zij tables and qibla…

The cutting-stock problem of operations research meets codicology: parchment page sizes are not aesthetic free choices but near-optimal cuts of animal skins, so leaf dimensions quantize at dyadic folds of regional skin rectangles, while paper leaves, cut from standard moulds, cluster at…

Vertical-monopoly pricing from industrial organization meets the toll castles of the Holy Roman Empire: a chain of independent tolls on one river overcharges relative to a single owner, so consolidation of adjacent tolls under one prince should cut the combined rate and…

Early-warning signals of critical transitions meet Maya epigraphy: the katun-ending dedication network was a field of coupled oscillators, and like any complex system nearing a tipping point it desynchronized first — rising variance and autocorrelation in dedication timing precede each region's last…

Capture-recapture census statistics meet Sanskrit anthology studies: the great subhashita collections are quasi-independent samples from a floating ocean of stanzas, so their pairwise overlaps yield a census of that ocean — and it dwarfs everything that survives.

Packet-switched content distribution meets the medieval university book trade: the pecia system chunked exemplars into pieces copied in parallel and reassembled, so stemmatic affiliation should switch at known pecia boundaries — an error signature that continuous-exemplar copying cannot produce.

Common-value auction theory meets Venetian state finance: the incanti — annual auctions of state galley charters — were common-value auctions in which patrician bidders demonstrably learned to shade bids across 150 years, the earliest documented winner's-curse correction.