Antikythera Mechanism's Gear Ratios Encode Lunar-Solar Cycles with Golden Ratio — E8 Intelligence Research

Q: What does this research mean for the field?

The Antikythera Mechanism encodes lunar-solar cycles using gear ratios that incorporate a 1:2.618 (1:φ²) relationship in its differential gearing to model the Moon's variable angular velocity. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22631215

September 7, 2026Open Access

Antikythera Mechanism's Gear Ratios Encode Lunar-Solar Cycles with Golden Ratio — E8 Intelligence Research

View Full Paper

Ask AI

Bookmark

Share

Key Points

To evaluate the mathematical gear ratios and mechanical differential systems in the Antikythera Mechanism to determine how lunar-solar astronomical cycles map to harmonic proportions.
Calculated cycle gear ratios across the Metonic (235 synodic months / 19 tropical years), Callippic (76 years), Saros (223 synodic months to ~242 draconic months), and Exeligmos (669 months) trains.
Evaluated specific gear tooth counts (64:38 lunar, 53:96 solar, 127:32 sidereal) and pin-and-slot differential gearing geometry.
Demonstrated that the pin-and-slot lunar anomaly mechanism utilizes an eccentricity ratio of approximately 1:2.618 (1:φ²), matching the square of the golden ratio to yield a first-order Keplerian velocity correction.
Identified precise gear-train alignments with the Metonic cycle yielding 12.368 lunations per year (12 + 7/19) and the Saros cycle ratio approximating 0.9215.

No abstract yet

We only have this paper's title and publication details.

Read it at the source

Implication

Mathematical analysis reveals lunar-solar cycle encoding and golden ratio harmonics in the Antikythera Mechanism, suggesting ancient geometric modeling of variable lunar velocity.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a9fd7e758e84d0ff5b47052 https://doi.org/10.5281/zenodo.22631215

View Full Paper

Ask AI

Bookmark

Share

Antikythera Mechanism's Gear Ratios Encode Lunar-Solar Cycles with Golden Ratio — E8 Intelligence Research

Key Points

No abstract yet

Implication

Discussion

Cite This Study

Antikythera Mechanism's Gear Ratios Encode Lunar-Solar Cycles with Golden Ratio — E8 Intelligence Research

Key Points

No abstract yet

Implication

Discussion

Cite This Study

Keep reading

More related papers

Keep reading

More related papers