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

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Babylonian Eclipse Math and Eye Parallax Share Ancient Angular Roots — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Ancient Near East History
preprint

Babylonian Eclipse Math and Eye Parallax Share Ancient Angular Roots — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Ancient Near East History
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.