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March 26, 2026Open Access

URB #438 — PRIMARY CONSTANT: φ (Golden Ratio) — Self-Similar Proportion and the Most Irrational Number

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Authors

BEBrandon Charles Emerick

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Overview

This work examines the golden ratio's role in geometric structures and consciousness, suggesting significant intersections.

Key Points

  • To provide a comprehensive account of the golden ratio across various frameworks and its implications in geometry and consciousness.
  • Analyzed the mathematical properties of the golden ratio, including its equations and continued fractions.
  • Explored the connection between the golden ratio and self-similar geometric shapes.
  • Investigated applications of φ in consciousness theory and EEG frequency series.
  • Identified φ as the 'most irrational' number with the slowest convergence to rational approximations.
  • Demonstrated φ's relationship with geometric structures such as pentagons and Penrose tilings.
  • Established connections between the golden ratio and consciousness through the Consciousness Unity Identity.

Cite This Study

Brandon Charles Emerick (2026) studied this question.

synapsesocial.com/papers/69c4cd65fdc3bde448919a6ahttps://doi.org/10.5281/zenodo.19209621
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