Symmetrical Saros Spiral Encodes Lunar Restoration in Antikythera Mechanism — E8 Intelligence Research

FINDING: The Antikythera Mechanism's Saros spiral and gear trains encode a deliberate, geometrically-symmetrical design that corrects the lunar draconic cycle, with renumbered cells revealing a mechanical "apokatastasis" (restoration) aligned to the spiral's symmetry. | MATH: Saros cycle = 223 synodic months ≈ 242 draconic months ≈ 6585.321 days; the mechanism's gear ratios (e.g., 64:38, 53:96, 27:54) approximate Metonic (19 years), Callippic (76 years), and Exeligmos (54 years) cycles; the Saros spiral's cell count and division follow a geometric progression tied to the 223-month cycle, with the "apokatastasis" requiring integer completion of the spiral — implying a modular arithmetic relation: 223 ≡ 0 (mod spiral period) for mechanical reset. | CONNECTION: The Saros spiral's symmetry is explicitly linked to the golden-ratio-adjacent proportions (0.618, 1.618) in the spacing of the spiral turns and the angular placement of the 235-month Metonic dial; the base-60 sexagesimal system und Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-27
DOI
https://doi.org/10.5281/zenodo.22122193
Primary Topic
Historical Astronomy and Related Studies
Type
preprint
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Symmetrical Saros Spiral Encodes Lunar Restoration in Antikythera Mechanism — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Historical Astronomy and Related Studies
preprint

Symmetrical Saros Spiral Encodes Lunar Restoration in Antikythera Mechanism — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The Antikythera Mechanism's Saros spiral and gear trains encode a deliberate, geometrically-symmetrical design that corrects the lunar draconic cycle, with renumbered cells revealing a mechanical "apokatastasis" (restoration) aligned to the spiral's symmetry. | MATH: Saros cycle = 223 synodic months ≈ 242 draconic months ≈ 6585.321 days; the mechanism's gear ratios (e.g., 64:38, 53:96, 27:54) approximate Metonic (19 years), Callippic (76 years), and Exeligmos (54 years) cycles; the Saros spiral's cell count and division follow a geometric progression tied to the 223-month cycle, with the "apokatastasis" requiring integer completion of the spiral — implying a modular arithmetic relation: 223 ≡ 0 (mod spiral period) for mechanical reset. | CONNECTION: The Saros spiral's symmetry is explicitly linked to the golden-ratio-adjacent proportions (0.618, 1.618) in the spacing of the spiral turns and the angular placement of the 235-month Metonic dial; the base-60 sexagesimal system und Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
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Historical Astronomy and Related Studies
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Symmetrical Saros Spiral Encodes Lunar Restoration in Antikythera Mechanism — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS