Principia Fractalica: The Latent Fractal Fibonacci Sonics in English Poetry—A Practical Guide to Professionals, Open Problems and Visionary Outlooks for Tomorrow

Read full text
Authors: Ismail A Mageed
Cited by: 0

Abstract

Although experts have always been intrigued by the confluence of mathematics and literature, fractal geometry's use to the sonic aspects of poetry is still a relatively unknown field. Theoretical framework Principia Fractalica suggests that English poetry's aesthetic power comes from Latent Fractal Fibonacci Sonics, which are recursive, self-similar patterns of phonological resonance that match the Fibonacci sequence. Drawing on methodologies from neurocognitive poetics, differentiable rendering, and anomalous diffusion physics, we propose a method to quantify the latent fractal dimension of poetic soundscapes. While previous studies have successfully identified latent fractal structures in urban forms (Chen, 2020) and visual art (Bannister & Nowrouzezahrai, 2024), this work extends those principles to the temporal domain of spoken verse. A practical guide for extracting these features, consider the limits of present linear metrical studies, and lay out ambitious visions for generative systems able to produce poetry with human-like, fractal resonance is presented.

Fields of Study & Subjects

Poetry Analysis and Criticism Art Technology and Culture Advanced Mathematical Theories and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
24 February 2026
Language
EN
Document type
Preprint