Babylonian Eclipse Math and Eye Parallax Share Ancient Angular Roots — E8 Intelligence Research
FINDING: Ancient Babylonian eclipse prediction and eye-based parallax share a common mathematical core: angular measurement via base-60 arithmetic and proportional ratios — the same geometry later formalized in Greek trigonometry. | MATH: Babylonian eclipse cycles use the Saros (223 synodic months ≈ 6585.321 days) and Metonic cycle (19 years ≈ 235 lunations ≈ 6940 days). Parallax distance formula: d = baseline / tan(θ) — for eye separation ~6.5 cm, θ ~0.1° yields d ~37 m (near-field); for Earth–Sun, Aristarchus used θ = 87° (actual 89.85°), giving Sun–Earth distance ≈ 19× lunar distance (true ≈ 389×). Base-60 sexagesimal: 1 degree = 60 arcminutes = 3600 arcseconds; 1 day = 24×60×60 = 86,400 s. | CONNECTION: The ratio 0.618 (golden ratio conjugate) appears in the Saros/Metonic interlock: 223/235 ≈ 0.949, but 6585.321/6940 ≈ 0.949 — not directly golden. However, the eye-parallax baseline-to-distance ratio for comfortable binocular vision (~6.5 cm / 37 m ≈ 0.000176) is not harmonic. The t Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-10
- DOI
- https://doi.org/10.5281/zenodo.22689354
- Primary Topic
- Ancient Near East History
- Type
- preprint