Ancient Eclipse Math: Saros Cycles and Parallax, Mirroring Binocular Vision — E8 Intelligence Research

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Babylonian eclipse prediction achieved mathematical precision via arithmetic cycles approximately 1,000 years before European geometric models, and Greek parallax methods utilized angular-baseline mathematics identical in principle to human binocular vision. Novelty: ClaimNovelty.SYNTHESIS. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22294007

September 4, 2026Open Access

Ancient Eclipse Math: Saros Cycles and Parallax, Mirroring Binocular Vision — E8 Intelligence Research

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Key Points

To evaluate the arithmetic structures of Babylonian Saros cycles and Greek geometric parallax methods in predicting eclipses and estimating astronomical distances.
Analyzed the harmonic alignment of 223 synodic, 242 draconic, and 239 anomalistic lunar cycles in Babylonian arithmetic astronomy.
Evaluated trigonometric right-angle formulations and baseline-to-angle parallax equations developed by Aristarchus relative to Earth-based and biological baselines.
The Saros cycle synchronizes lunar periods to establish an eclipse recurrence interval of approximately 6,585.32 days (18 years, 11 days, 8 hours).
Aristarchus utilized a lunar quarter phase angle of approximately 87 degrees to compute a Sun-to-Moon distance ratio of ~19 (true physical ratio is ~389).
Angular parallax calculations rely on identical baseline-to-tangent formulations across planetary dimensions (Earth radius: 12,742 km) and human interpupillary distance (~6.5 cm).

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Implication

Mathematical analysis reveals precise eclipse recurrence and parallax geometry in ancient astronomy, highlighting computational principles shared with human binocular vision.

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a9d1eb628139818eab21c72 https://doi.org/10.5281/zenodo.22294007

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Ancient Eclipse Math: Saros Cycles and Parallax, Mirroring Binocular Vision — E8 Intelligence Research

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Cite This Study

Ancient Eclipse Math: Saros Cycles and Parallax, Mirroring Binocular Vision — E8 Intelligence Research

Key Points

No abstract yet

Implication

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Cite This Study

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