Haochen Guo

Step-Preserving Maps and the Impossibility of ContinuedFraction Representation: The CPD Paradox

2026 · Zenodo (CERN European Organization for Nuclear Research)

This version (May 2026) includes additional theorems and revisions compared to the March 2026 preprint. In standard ZFC, simple continued fractions (SCF) provide unique representations forreal numbers, while generalized continued fractions (GCF) admit richer parametrization. …