A Python lattice simulation showing emergent topological solitons
A new topological field framework has been developed to describe particle generation through gauge-coupled configurations. The study reveals that while classical configurations do not yield stable soliton solutions, lattice Yang–Mills formulations show persistent localized configurations. The findings suggest that particles are quantum excitations of topologically nontrivial gauge-field configurations, requiring quantum corrections for stability.
- ▪The model introduces an explicit Yang–Mills sector to a topological field framework.
- ▪Localized configurations in the lattice formulation exhibit a discrete spectrum of fluctuations.
- ▪The analysis indicates that quantum corrections are necessary for achieving stability in particle configurations.
Opening excerpt (first ~120 words) tap to expand
Published May 18, 2026 | Version v1 Preprint Open Topological Relativity Theory: A Quantum Gauge Field Framework for Particle Generations and Emergent Couplings Authors/Creators Kis, Norbert Levente Description I construct a topological field framework in which particles arise as gauge-coupled con-figurations of a single fundamental field. The model extends earlier scalar constructionsby introducing an explicit Yang–Mills sector. To obtain a well-defined non-perturbativedescription, the theory is formulated on a lattice, where gauge consistency and numericalstability are maintained. The classical dynamics is examined through gradient flow. It isfound that purely classical configurations do not lead to stable soliton solutions.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at Zenodo.