collatz-epistemology: Stability diagnostics for the Collatz map

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Authors: Christian Balfagon
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Abstract

This repository provides reproducible numerical diagnostics supporting the paper “An Epistemological Reformulation of the Collatz Problem”. The code generates stability metrics and figures comparing the volatility of the stateobservable n_k with the stability of derived, coarse-grained observables such asblock-averaged logarithmic drift. The numerical experiments are intended as epistemological diagnostics and do notconstitute a proof of the Collatz conjecture. Contents include:- Python script used to generate all figures- Computed stability metrics (CSV)- Figures appearing in the manuscript All results are fully reproducible.

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026