Quantitativity on the number of rational points in the Mordell conjecture

Mathematicians just swung for the fences on the age-old riddle of “special points” on curves, and the internet did what it does best: argue, meme, and demand a TLDR. The big claim: a uniform formula for all curves that counts those rare “rational” points—coordinates that are whole numbers or simple fractions. One brave soul, mkprc, dropped the 178-page preprint, and instantly the popcorn came out. Half the thread cheered “ancient Greeks would be proud,” while the other half sighed, “wake me when referees sign off.” Meanwhile, several begged for a “Terence Tao explains it” version.

For non-math mortals: these points are the special coordinates that help reveal structure in nature, finance, and even the math behind encryption. If this holds, it replaces exhausting case-by-case hunts with a one-size-fits-all bound on how many such points a curve can have. Drama alert: crypto watchers asked “is my password doomed?” and were quickly told no—this is pure theory, not a vault-cracker. The meme crew dubbed it “Counting Squiggles: Final Boss,” and printer jokes about 178 pages flew. Overall mood: massive if true, cautiously excited, and already speedrunning the PDF for spoilers. Pedants nitpicked the “2,000-year-old” framing—clicks were earned; math Twitter joked.