4-Adic Fiber Structure, Inverse Branching, and a Depletion Heuristic in the Accelerated Collatz Dynamics
Abstract
We examine structural properties of the accelerated Collatz map restricted to oddintegers. We formalize the 4-adic fiber decomposition, infinite inverse branching, nestedmerge sets, and density growth in inverse levels. We then formulate a structural de-pletion heuristic suggesting that forward iteration collapses inverse width. We clarifyprecisely which results are rigorously established and which remain conjectural.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
p-Adic Analysis and Mathematical Physics
Analytic Number Theory Research
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 March 2026
- Language
- EN
- Document type
- Preprint