Verified Babylonian Fraction Mathematics: arXiv Paper Contrasts Speculative YouTube Archaeology — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Only one source contains verifiable mathematical content — the arxiv paper on Babylonian fraction terminology (igi-n-gál, igi-te-en). The remaining sources are YouTube videos mixing archaeology with speculation/pop-culture "stargate" physics. | MATH: Babylonian reciprocal system: igi-n-gál = 1/n (n ∈ ℕ), computed via base-60 reciprocal tables; igi-te-en = proportional fraction (a/b). Base-60 positional notation with regular numbers (2^a·3^b·5^c) having finite reciprocals. | CONNECTION: Base-60 = 2²·3·5 — highly composite, links to crystallographic 60°/120° angles (hexagonal/triangular lattices), icosahedral symmetry (60 rotational symmetries). Regular numbers in base-60 correspond to smooth numbers in 5-limit just intonation (ratios: 4/3, 3/2, 5/4, 6/5, 8/5, 5/3). No φ (1.618) or √φ (0.786) evidence in Babylonian tablets. | DEPTH: 3 — Genuine but narrow: documents Babylonian computational algebra (reciprocal algorithms, proportional reasoning). No "star gate" mathematics, no t Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: History and Philosophy of Science
Field: Arts and Humanities
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7225585574