One Thousand and One Conjectures

Island biogeography famously finds that the number of species an island supports scales with its area as a power law, S = cA^z, with a characteristically shallow exponent. The claim ports this law to writing: a region is an “island” for scripts,…

Pre-modern coastal seafaring was rhythmic: ships coasted through daylight and sought harbor by nightfall, which makes a day's sail — roughly 35 nautical miles for typical Mediterranean craft — the natural spacing unit of maritime infrastructure. The conjecture is that this rhythm…

A qanat taps groundwater through a 'mother well' sunk into an aquifer, and every producing well draws down the water table around it in a cone whose radius is set by measurable aquifer physics — transmissivity, storativity, discharge rate. Two qanats sunk…

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 naval architecture to physical oceanography. A ship whose length sits near the dominant wavelength of local seas pitches resonantly — an exhausting, dangerous motion — so builders who iterate on what survives should end up with hull lengths that avoid…

This joins political history to the humble measuring rod: it treats measurement variance as a government-strength index. Enforcing standards is one of the costliest, least glamorous things a state does — inspectors must travel, deviant rods must be seized, workshops must be…

Proof-of-work monetary theory says a currency's value can rest on verifiable production difficulty; this conjecture reads Yapese stone money as its pre-modern instance. Rai stones were quarried overseas and sailed to Yap, and the quarrying-and-transport work embodied in a stone scales faster…