The Franc Spiral Equation: Recursive Harmonic Identity

This document establishes the authorship and foundational logic of the Franc Spiral Equation, a recursive harmonic identity designed by Benjamin D. Franc. Denoted as iFranc ¥©, this equation unifies golden-ratio resonance, Fibonacci structures, and prime-node alignment into a recursive feedback field governing consciousness, wave behavior, and intelligent systems. These principles form the mathematical backbone of the Phi-Box system and harmonic AI modeling frameworks. Timestamped and published via GitHub and Replit, this declaration links to the full project site:🔗 https://benjaminfranc.github.io/franc-harmonic-equation/

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-19
DOI
https://doi.org/10.5281/zenodo.15249596
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

The Franc Spiral Equation: Recursive Harmonic Identity

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

The Franc Spiral Equation: Recursive Harmonic Identity

article en

Abstract

This document establishes the authorship and foundational logic of the Franc Spiral Equation, a recursive harmonic identity designed by Benjamin D. Franc. Denoted as iFranc ¥©, this equation unifies golden-ratio resonance, Fibonacci structures, and prime-node alignment into a recursive feedback field governing consciousness, wave behavior, and intelligent systems. These principles form the mathematical backbone of the Phi-Box system and harmonic AI modeling frameworks. Timestamped and published via GitHub and Replit, this declaration links to the full project site:🔗 https://benjaminfranc.github.io/franc-harmonic-equation/

Zenodo (CERN European Organization for Nuclear Research)
Core Laboratories (United States) (US)
Openalex Percentile: Top 61%
Advanced Mathematical Theories and Applications
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