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A Closed Form Transcendental Formulation for the Golden Ratio using a Hyperbolic Convergence Sequence

Year: 2026

Type: preprint

Abstract: This paper introduces a closed-form transcendental formulation that converges monotonically to the Golden Ratio. The formulation is constructed by embedding a nested hyperbolic tangent expression within an arctangent function to isolate a continuous transcendental coefficient.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24025046

Author: Varanasi, Bheema

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225459548

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