One Thousand and One Conjectures

Gothic churches were built in successive campaigns over decades, and masons could watch how earlier bays and earlier buildings cracked, leaned, or stood. Modern limit analysis can compute, for any buttress geometry, how far it sits from the thrust-line optimum — the…

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 medieval craft practice to modern acoustics. An organ builder must decide how pipe diameter should vary with pipe length across a rank — too narrow and the trebles turn thin and stringy, too wide and the basses go dull —…

This joins historical linguistics to campanology. Dialectologists map isoglosses — the boundary lines where one regional speech feature gives way to another — and those lines famously follow the channels of contact: rivers, roads, trade routes. Bell founding, the conjecture claims, worked…

This joins Viking shipbuilding to modern fracture mechanics. A clinker hull is a shell of overlapping oak planks, and its worst enemy is a running split: a crack that starts at a fastening and propagates along the grain. Fracture mechanics says such…

This joins medieval pilgrimage history to tribology, the physics of wear. Every pilgrim who crossed a church threshold removed a microscopic layer of stone, and centuries of feet turned steps into shallow basins; the missing volume is a footfall counter that no…

This joins medieval fiscal instruments to information theory. An Exchequer tally was a wooden stick notched with a debt's value and then split lengthwise, creditor and debtor each keeping half; the split's matching grain already authenticated the pair. The conjecture claims the…

Joins stream-power hydrology to the great fiscal cadastre of 1086: the Domesday survey, in recording what each water-mill rendered to its lord, unwittingly logged a physics meter across England. A mill's earning power was set by the hydraulic power of its site…

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,…