Collatz: The Hidden Order Beneath the Chaos

This paper presents a structural reformulation of the Collatz conjecture through the dynamic behavior of odd-valued sequences. It proposes a deterministic and recursive framework rooted in valuation logic and parity dynamics, challenging the traditional probabilistic views of the problem.

Publication Details

Journal
Figshare
Published
2025-08-04
DOI
https://doi.org/10.6084/m9.figshare.29820104
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00
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article

Collatz: The Hidden Order Beneath the Chaos

Figshare
Benford’s Law and Fraud Detection
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Collatz: The Hidden Order Beneath the Chaos

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Abstract

This paper presents a structural reformulation of the Collatz conjecture through the dynamic behavior of odd-valued sequences. It proposes a deterministic and recursive framework rooted in valuation logic and parity dynamics, challenging the traditional probabilistic views of the problem.

Figshare
Reduced inequalities
Openalex Percentile: Top 47%
Benford’s Law and Fraud Detection
DOIOpen Access PDFOpenAlex
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Collatz: The Hidden Order Beneath the Chaos · Figshare (2025) | TGRS Research Map | TGRS