Work

Ultrametric Tree Universality: One Geometry, Six Domains

Year: 2026

Type: article

Abstract: Cross-domain synthesis demonstrating that ultrametric tree geometry (cophenetic distance, triadic rigidity, strong triangle inequality) provides the universal mathematical structure underlying hierarchical organization across six independent domains: quantum error correction, spin glasses, protein folding, cosmology, cognition, and language. Includes interactive explorer and prior work catalog.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.20356567

Author: Quni-Gudzinas, Rowan Brad

Institution: Oldham Council

Language: English

Topic: advanced mathematical theories

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7162197053

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