AI & Computingpreprint2026-10-17

MERLIN SCIENCE — Ancient Math's Core: Sexagesimal System and Euclid's Axiomatic Geometr — E8 Intelligence Research

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Abstract

Here's the narration for the MERLIN SCIENCE video: --- Today's breakthrough is a negative result, and that is precisely why it matters. After scanning a documentary corpus on ancient mathematics, the only mathematically substantive content is the Babylonian base-60 positional system and Euclid's axiomatic structure. Everything else—harmonic cycles, cosmic numbers, hidden geometries—is speculation without primary-source support. Let me set the field context. Historians of math often treat ancient texts as a mix of arithmetic practice, geometric proof, and numerology. But when you separate the extractable mathematics from the narrative, you get two pillars: sexagesimal fractions and Euclidean deduction. No golden ratio, no Fibonacci sequence, no crystallographic root systems appear in the actual titles. Those are later interpolations or popularizations. Here is the mechanism you can evaluate. Base-60 works because 60 has twelve divisors. That means 1/2, 1/3, 1/4, 1/5, 1/6, 1/10, 1/12 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 2026-10-17

Authors: Andrew Stewart Caldin