One Thousand and One Conjectures

In critical phenomena, systems that differ microscopically collapse onto a single curve after rescaling — the signature of a shared universality class. This conjecture claims textual survival has exactly one such class. Greek works at large, catalogued in Pinakes' 21,500 works, and…

Fracture physics and Viking economics meet in the hack-silver hoard. When brittle materials are broken repeatedly and more or less at random, the resulting fragment masses follow a universal power-law distribution — a robust result from fragmentation physics that holds for shattered…

Gresham's law — bad money drives out good — is here joined to the physics of phase transitions. The conjecture is that the driving-out is not gradual: when rulers debase the coinage, users tolerate the slide in silver fineness up to a…

The gravity model of trade — flows decay with distance, and how steeply they decay depends on what the goods are worth relative to what they cost to move — is here tested on sourced ancient artifacts. Provenance science can trace both…

Bronze needs tin, and Late Bronze Age tin moved through a long-distance exchange network linking a handful of distant sources to every workshop in the eastern Mediterranean. In network terms, some cities were mere consumers while others were high-betweenness brokers — nodes…

Around the Bronze Age tells of northern Mesopotamia, millennia of feet and hooves wore the landscape into 'hollow ways' — sunken route networks still visible in Cold War CORONA satellite imagery. The slime mold Physarum polycephalum famously grows near-optimal transport networks between…

Obsidian is archaeology's ideal tracer: every piece can be chemically fingerprinted to its volcanic source, so its spread maps prehistoric exchange with unusual precision. Falloff with distance from source is conventionally summarized by a single distance-decay exponent — steep when goods move…

Baltic amber moved from its northern shores to the Mediterranean through hand-to-hand exchange, and FTIR spectroscopy can certify which finds are genuinely Baltic, giving a clean tracer of prehistoric long-range flow. Physics offers a ready model for such flow: the advection–diffusion equation,…

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…

Roman aqueducts held gradients of centimeters per kilometer over tens of kilometers, and how surveyors achieved this with simple instruments is a genuine puzzle. Statistics offers a diagnostic: if each leg of a survey adds a small independent error, accumulated error grows…

This joins the Classic Maya collapse to the physics of percolation — the mathematics of systems that fail not gradually but when a critical threshold is crossed. Lowland Maya cities rode out the dry season on constructed reservoirs, so each city's resilience…

This joins the vast water network of medieval Angkor to the theory of self-organized criticality — the sandpile physics in which a slowly loaded system tunes itself to a critical state where avalanches of every size occur, their sizes following a power…

The Garamantes of the Libyan Fezzan built one of antiquity's great irrigation systems: hundreds of kilometres of foggaras — underground channels of the qanat family — tapping a fossil aquifer left over from a wetter Sahara, water that was being mined, not…

Joins atmospheric physics to colonial sociolinguistics: just as pressure thins exponentially with altitude at a fixed scale height, Greek thinned with river distance up the Nile from Alexandria at a fixed exponential scale length. The mechanism is demand decay: Greek was the…

Joins statistical seismology to archival formation processes: an administrative archive, the claim runs, forms like an earthquake sequence. A main shock — a reform, a new institution, a royal accession — sets off a burst of documentation, and what follows obeys the…

Taylor's law — fluctuation scaling from statistical physics and ecology — says that across populations, variance grows as a power of the mean: exponent 1 for independent Poisson noise, 2 for perfectly synchronized fluctuation. This conjecture applies it to the geography of…

Phase separation in soft-matter physics says a mixture of immiscible components does not sit stably at half-and-half: it demixes into nearly pure domains, depleting the middle of the composition spectrum. This conjecture applies that instability to monastic geography in the vHMML catalogues…

Early-warning theory of critical transitions says complex systems approaching a tipping point betray themselves in advance — variance and autocorrelation rise as the system loses resilience. This conjecture applies those signals to Maya epigraphy. The Classic Maya katun-ending dedication network was a…

Modern trade and traffic between cities famously obey a gravity law — flows proportional to the product of the cities' sizes and inverse to the distance between them — a regularity discovered on twentieth-century freight statistics. The Ur III state left the…