Saros Cycle: Near-Exact Lunar Resonance, No Golden Ratio Connection — E8 Intelligence Research

FINDING: The Saros cycle (223 synodic months ≈ 242 draconic months ≈ 239 anomalistic months) is a near-exact integer resonance in lunar periods, enabling eclipse prediction; the golden ratio appears in a separate, unrelated arxiv paper on self-application, not in the Saros data. | MATH: Saros = 223 synodic months = 6585.3211 days; 242 draconic months = 6585.3575 days; 239 anomalistic months = 6585.5376 days. Ratios: 223/242 = 0.9215; 242/223 = 1.0852; 239/223 = 1.0717. No 0.618, 1.618, or 2.618 appears in these integers. Base-60: 223 = 3×60 + 43; 242 = 4×60 + 2; 239 = 3×60 + 59 — no sexagesimal elegance beyond coincidence. | CONNECTION: None to golden ratio, 0.382, 0.786, or crystallographic symmetry. The Saros is a *rational* resonance (223:242:239), not an irrational harmonic. The arxiv paper (2510.08934) uses Φ=1.618 as a *model* of stable recurrence, but it is not connected to Babylonian astronomy in the provided sources. | DEPTH: 3 — The Saros is a profound empirical discovery (an 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
2026-09-13
DOI
https://doi.org/10.5281/zenodo.22732510
Primary Topic
Ancient Near East History
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

Saros Cycle: Near-Exact Lunar Resonance, No Golden Ratio Connection — E8 Intelligence Research

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

Saros Cycle: Near-Exact Lunar Resonance, No Golden Ratio Connection — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The Saros cycle (223 synodic months ≈ 242 draconic months ≈ 239 anomalistic months) is a near-exact integer resonance in lunar periods, enabling eclipse prediction; the golden ratio appears in a separate, unrelated arxiv paper on self-application, not in the Saros data. | MATH: Saros = 223 synodic months = 6585.3211 days; 242 draconic months = 6585.3575 days; 239 anomalistic months = 6585.5376 days. Ratios: 223/242 = 0.9215; 242/223 = 1.0852; 239/223 = 1.0717. No 0.618, 1.618, or 2.618 appears in these integers. Base-60: 223 = 3×60 + 43; 242 = 4×60 + 2; 239 = 3×60 + 59 — no sexagesimal elegance beyond coincidence. | CONNECTION: None to golden ratio, 0.382, 0.786, or crystallographic symmetry. The Saros is a *rational* resonance (223:242:239), not an irrational harmonic. The arxiv paper (2510.08934) uses Φ=1.618 as a *model* of stable recurrence, but it is not connected to Babylonian astronomy in the provided sources. | DEPTH: 3 — The Saros is a profound empirical discovery (an 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.