A 5-Adic Ultrametric Framework for Alignment-Free Phylogenetic Analysis of Hantavirus RNA Sequences

B1 Crossref Works API · 2026-07-10

We develop a non-Archimedean framework for the representation and analysis of genomic sequences based on the arithmetic and geometric structure of the ring of 5-adic integers. The proposed approach associates RNA sequences with points in a compact ultrametric space through an injective symbolic-to-arithmetic embedding that transforms genomic information into a hierarchical geometric object. We prove that the embedding is a global isometry between a natural symbolic prefix metric and the induced 5-adic metric, and we show that its image forms a compact Cantor-type subset of Z5. Building upon th

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