The Collatz Conjecture in a Unified Framework: Local Residue Dynamics and Global Ladder Coverage

This paper presents a unified framework for the Collatz Conjecture, showing that local residue dynamics and global ladder coverage are structurally identical, and show unique parentage, complete coverage, and convergence to the trivial cycle.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-02
DOI
https://doi.org/10.5281/zenodo.17254673
Primary Topic
Lubricants and Their Additives
Type
article
Field-Weighted Citation Impact
0.00
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article

The Collatz Conjecture in a Unified Framework: Local Residue Dynamics and Global Ladder Coverage

Zenodo (CERN European Organization for Nuclear Research)
Lubricants and Their Additives
article

The Collatz Conjecture in a Unified Framework: Local Residue Dynamics and Global Ladder Coverage

article en

Abstract

This paper presents a unified framework for the Collatz Conjecture, showing that local residue dynamics and global ladder coverage are structurally identical, and show unique parentage, complete coverage, and convergence to the trivial cycle.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 52%
Lubricants and Their Additives
DOIOpen Access PDFOpenAlex
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The Collatz Conjecture in a Unified Framework: Local Residue Dynamics and Global Ladder Coverage · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS