Lawrence Cyclic Interdependency Principle (LCIP) Complementary Cyclic Structure of Prime and Non-Prime Digits in π

This research introduces the Lawrence Cyclic Interdependency Principle (LCIP), uncovering complementary cyclic structures and numeric interdependencies between prime and non-prime digit distributions in π. Fourier analysis, fractal dimension metrics, and binary density calculations clearly demonstrate that digit sequences previously assumed random show structured, harmonic patterns. This principle challenges current assumptions about irrational number randomness, opening new avenues in mathematics and cryptographic research.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-03-16
DOI
https://doi.org/10.5281/zenodo.15034752
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00
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article

Lawrence Cyclic Interdependency Principle (LCIP) Complementary Cyclic Structure of Prime and Non-Prime Digits in π

Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
article

Lawrence Cyclic Interdependency Principle (LCIP) Complementary Cyclic Structure of Prime and Non-Prime Digits in π

article en

Abstract

This research introduces the Lawrence Cyclic Interdependency Principle (LCIP), uncovering complementary cyclic structures and numeric interdependencies between prime and non-prime digit distributions in π. Fourier analysis, fractal dimension metrics, and binary density calculations clearly demonstrate that digit sequences previously assumed random show structured, harmonic patterns. This principle challenges current assumptions about irrational number randomness, opening new avenues in mathematics and cryptographic research.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 59%
Benford’s Law and Fraud Detection
DOIOpen Access PDFOpenAlex
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Lawrence Cyclic Interdependency Principle (LCIP) Complementary Cyclic Structure of Prime and Non-Prime Digits in π · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS