Structural Symmetry Breaking in Geometric Field Networks: Hub-Mediated Energy Exchange Without Asymmetric Initialization
Abstract
A 4-node hub-spoke network of coupled geometric kernels achieves energy exchange from symmetric initial conditions (87% exchange rate), compared to 0% on a symmetric triangle. The structural asymmetry of the hub node is sufficient to break the symmetry preventing exchange in uniform topologies. The hub acts as a field mediator holding a stable 29% energy fraction. The energy partition is a topological invariant insensitive to coupling ratios across two orders of magnitude. 960 runs, zero errors, consumer hardware, pure Python.
Fields of Study & Subjects
Nonlinear Dynamics and Pattern Formation
Complex Systems and Dynamics
Complex Network Analysis Techniques
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 March 2026
- Language
- EN
- Document type
- Preprint