EXTRACTED METHOD: antikythera_gear_phi_ratio_check — E8 Intelligence Research

Andrew Stewart Caldin

doi:10.5281/zenodo.21928621

August 14, 2026Open Access

EXTRACTED METHOD: antikythera_gear_phi_ratio_check — E8 Intelligence Research

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Key Points

Establish an automated screening method to detect whether gear tooth ratios in the Antikythera mechanism approximate the golden ratio within a strict numerical threshold.
Extracted gear tooth counts (teeth_a, teeth_b) from published 2021 computed tomography (CT) data of the Antikythera mechanism.
Computed the tooth ratio for each pair by dividing the maximum tooth count by the minimum tooth count.
Applied a decision rule flagging pairs as phi-resonant if the absolute difference |ratio - 1.618| is less than 0.001.
Defined a computational check to screen ancient gearing mechanisms for golden ratio proportions.
Implemented a narrow 0.001 error boundary to separate intentional phi resonances from unrelated astronomical gear ratios.

Implication

Computational analysis reveals a method to identify golden ratio resonances in Antikythera mechanism gear data, suggesting potential harmonic design principles.

Abstract

rule: For each gear pair (teeth_a, teeth_b) from Freeth et al. 2021 CT data, compute ratio = max(teeth_a, teeth_b) / min(teeth_a, teeth_b). If |ratio - 1.618| < 0.001, flag as phi-resonant. source: rlab #120 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a817a01f2fb91fc834ad7d1 https://doi.org/10.5281/zenodo.21928621

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EXTRACTED METHOD: antikythera_gear_phi_ratio_check — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

EXTRACTED METHOD: antikythera_gear_phi_ratio_check — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

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