One Thousand and One Conjectures

Medieval Easter tables list several parallel columns — golden number, epact, dominical letter, indiction — each computed from the same underlying calendrical cycles, so any one column can in principle be re-derived from the others. That mutual derivability is exactly the structure…

Scribes routinely closed their work with self-deprecating apologies — “forgive the faults of the unworthy scribe” — and the naive reading treats these as confessions from careless copyists. The claim inverts that: such formulae are costly quality signals, the mark of a…

Monastic scribes copied in the gaps left by the agricultural year, bending to the pen most heavily in the dead of winter when the fields demanded nothing; urban professional copyists, decoupled from farm labour, worked to a flat year-round rhythm driven by…

Joins autocatalytic reaction kinetics to the sociolinguistics of conquest: in Egypt's dated documentary papyri, the replacement of Greek and Coptic by Arabic behaved like a chemical substitution running with a nearly universal rate constant. The mechanism is autocatalytic — every office and…

Joins neutral models of cultural evolution to Byzantine book epigrams — the short verses scribes copied into margins and colophons, catalogued by type in the DBBE. Under the standard rich-get-richer model of cultural copying, an epigram type spreads because scribes copy what…

In asset pricing, the single-factor market model says every stock, however idiosyncratic, loads positively on one common market factor. This conjecture applies it to Eastern Christian book production: the Syriac, Armenian, Coptic, Ethiopic, Georgian and other traditions were doctrinally separated and institutionally…

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…