Stability in the Complex Plane: A Study of Gaussian Collatz Dynamics and Logarithmic Mapping
Abstract
: This research documents a critical pivot in the study of Generalized Collatz functions. After an initial investigation into standard integer-based $3n+1$ sequences showed promising signals that ultimately vanished when scaled to 1,000 samples, the study moved into the complex plane to find a more robust mathematical signal.
Fields of Study & Subjects
Benford’s Law and Fraud Detection
Probability and Statistical Research
Fractal and DNA sequence analysis
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 6 January 2026
- Document type
- Preprint