The Ouroboros Matryoshka: A Unified Topological Framework for Macroscopic Synchronization and Harmonic Confinement

Modern physics operates under deeply segregated mathematical models. In this overview paper, we present the Ouroboros Matryoshka framework—a unifying topological blueprint that leverages modulo-9 harmonic symmetries to solve macroscopic phase transitions and topological confinement.Formal Verification & Source Code: The rigorous Lean 4 proofs and framework codebase are open-source and available at the Ouroboros GitHub Repository.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-23
DOI
https://doi.org/10.5281/zenodo.21516856
Primary Topic
Control and Stability of Dynamical Systems
Type
article
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article

The Ouroboros Matryoshka: A Unified Topological Framework for Macroscopic Synchronization and Harmonic Confinement

Bruno Luçardo Olivaes
Zenodo (CERN European Organization for Nuclear Research)
Control and Stability of Dynamical Systems
article

The Ouroboros Matryoshka: A Unified Topological Framework for Macroscopic Synchronization and Harmonic Confinement

Bruno Luçardo Olivaes
article en

Abstract

Modern physics operates under deeply segregated mathematical models. In this overview paper, we present the Ouroboros Matryoshka framework—a unifying topological blueprint that leverages modulo-9 harmonic symmetries to solve macroscopic phase transitions and topological confinement.Formal Verification & Source Code: The rigorous Lean 4 proofs and framework codebase are open-source and available at the Ouroboros GitHub Repository.

Zenodo (CERN European Organization for Nuclear Research)
Universidad de Matamoros (MX)
Openalex Percentile: Top 11%
Control and Stability of Dynamical Systems
DOIOpen Access PDFOpenAlex
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The Ouroboros Matryoshka: A Unified Topological Framework for Macroscopic Synchronization and Harmonic Confinement — Bruno Luçardo Olivaes · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS