AI & Computingpreprint2026-08-27

Ancient Math's Harmonic Cosmos: Carlson's Dense Lecture — E8 Intelligence Research

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Abstract

FINDING: The corpus of documentaries collectively confirms that ancient Babylonian and Egyptian mathematics operated on a sexagesimal (base-60) positional system with reciprocal tables, and that Greek mathematics formalized Euclidean geometry — but the single most mathematically dense item is the "Hidden Mathematics" lecture by Randall Carlson, which explicitly ties ancient megalithic geometry to cosmic cycles via harmonic ratios. | MATH: Base-60 system (Babylonian): 60 = 2² × 3 × 5, enabling exact division by 2, 3, 4, 5, 6, 10, 12, 15, 20, 30. Babylonian reciprocal tables (e.g., 1/60, 1/3600) and Plimpton 322 (Pythagorean triples: a² + b² = c², with ratios like 119/120, 4961/6480). Euclid's Elements: axiomatic geometry, golden ratio construction (Book VI, Prop 30: φ = (1+√5)/2 ≈ 1.618). Carlson's claim: ancient sites encode precession cycle (25,920 years) via ratios — e.g., 25,920 / 60 = 432 (a base-60 harmonic), and 432² = 186,624 (close to speed of light in miles/s, 186,282 — a clai Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-27

Authors: Andrew Stewart Caldin