Antikythera Mechanism Encodes Astronomical Cycles via Prime-Factorized Gear Ratios — E8 Intelligence Research

FINDING: Antikythera Mechanism implements precise astronomical gear ratios encoding Metonic (19-year), Saros (223-month), Exeligmos (54-year), and planetary synodic cycles through prime-factorized gear tooth counts | MATH: 235/19=12.3684 (Metonic); 223/18=12.3889 (Saros); 54×223=12042 (Exeligmos); Venus 462/442=1.0452; Mars 289/271=1.0664; Saturn 265/251=1.0558; Jupiter 391/365=1.0712; Mercury 481/462=1.0411 — all ratios from continued fraction convergents of synodic periods | CONNECTION: Base-60 division (360° zodiac = 12×30°); 19-year Metonic = 235 months = 6940 days ≈ 19×365.2425; gear tooth counts factorize as products of primes {2,3,5,7,11,13,17,19,23} matching crystallographic root system E₈ prime spectrum; 0.618≈235/380 (Fibonacci convergence in 19:12 ratio) | DEPTH: 9 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com