One Thousand and One Conjectures

The modern capital campaign — where a museum or university secures a headline anchor gift or star acquisition just before asking everyone else for money — is here read back into the medieval church. Relic translations, the ceremonial installation of a saint's…

This joins Gothic cathedral construction to the economics of competitive escalation — the same arms-race dynamics seen in armament races and advertising wars. A cathedral's height was a prestige signal aimed at specific rivals, and the relevant rivals were local: the sees…

This joins the moai of Rapa Nui — one of archaeology's most famous statue traditions — to the logic of competitive escalation between rival groups, the same dynamics that drive arms races. If lineages competed for prestige through statue size, each generation…

This joins Wright's law — the industrial learning curve, under which performance improves as a power law of cumulative production — to the humblest of ancient mass products, amphorae and lamps. Wright's law is usually treated as a discovery of twentieth-century aircraft…

This joins ceramic technology to environmental history: kilns, it claims, are unwitting gauges of energy scarcity. Firing pottery to high temperature consumes large quantities of wood, so when a region's forests thin, fuel becomes the binding constraint on the potter's craft. Rather…

This joins Roman economic history to archaeometric chemistry. Fresh Roman glass was made in a handful of great Levantine furnaces and shipped west as raw chunks; when supply chains ran smoothly, workshops melted fresh glass, and when they faltered, workshops fed broken…

This joins medieval church archaeology to geomagnetism. Churches were meant to face east, yet surveyed orientations scatter by several degrees, and the scatter is usually written off as sloppy surveying. But once the magnetic compass entered the building trades — plausibly around…

This joins Roman land surveying to archaeoastronomy. When Rome founded a colony, surveyors laid out the centuriation — the great land grid — around a principal axis, and Roman ritual practice tied foundation ceremonies to specific festival dates. The conjecture holds that…

RT60 — the time a sound takes to decay by sixty decibels — is the basic figure of architectural acoustics, and a great stone nave can hold a note for many seconds; a fast syllabic melody blurs into mud in such a…

Muqarnas — the honeycomb vaulting of Islamic architecture, thousands of small stepped niches filling domes and squinches — is usually read as pure geometry made ornament. But a surface of many differently sized and angled cells is exactly what a modern acoustician…

The Colosseum moved crowds of tens of thousands through its vomitoria — the numbered entrances and radiating stair-and-corridor system that gave the building its famously fast turnover. Modern stadium safety codes make crowd egress a precise engineering quantity: evacuation-time standards, flow rates…

The deep blue of medieval stained glass comes from cobalt, and medieval Europe mined very little of it: the colorant travelled along long-distance routes whose ultimate sources lay far to the east. Every ore body carries a trace-element fingerprint — the ratios…

Joins statistical process control — the control charts and capability indices of modern manufacturing — to Andean ceramics. Inca state pottery, above all the standard aryballos storage jar, was the output of an administered production system, so the tightness of its dimensional…

Joins process-engineering labor accounting to Viking naval history. Tally the person-hours in a longship and the surprise is that the hull is the cheap part: replication labor budgets show a large woolen sail — the wool sorted, spun thread by thread, woven,…

Joins experience-curve economics to Islamic mathematical geography. In manufacturing, quality improves as a power law of cumulative output — the experience curve — because every unit produced teaches its producers. Every mosque is such a unit: it must face Mecca, its measurable…

Service-capacity planning sizes a facility to a fixed fraction of the population it must serve at peak; this conjecture claims Greek cities did the same with their theaters. If theaters were built to seat a set percentile of the citizen body —…

Medieval miracle collections record two great genres of wonder: the sick healed at the shrine, and the distant devotee — the drowning sailor, the chained prisoner — saved by invocation alone. The conjecture is that the mix is a strict function of…

The roughly 130 lead prayers from the sacred spring at Bath are often imagined as furious bathers scratching their own maledictions, but the tablets' palaeography permits a head count of hands, and hands are the tell: personal writing predicts nearly as many…

Astrolabe plates and portable dials are engraved for specific latitudes, and it is natural to assume those are the latitudes of the cities where the instruments were made and used. The surprising connection is that they are BOOK latitudes: plate values cluster…