A Framework for Radion-Supported Gravitating Solitons: Toward a Geometric Interpretation of Localized Gravitational Mass

We investigate localized, finite-energy solutions of an Einstein-Yang-Mills-Higgs (EYMH) system coupled to a dynamically stabilized radion field. Rather than proposing a new origin for gravitation, we explore a novel mechanism for stabilizing localized energy: by fusing non-Abelian gauge extensions with a warped Kaluza-Klein compactification, we investigate whether extended gauge-field configurations can provide the topological pressure required to stabilize internal dimensions. The framework defines an existence conjecture for Radion- Supported Gravitating Solitons (RSGS). We explore the possibility that localized matter-like states may emerge as finite-energy excitations of a compactified geometry, where gauge flux may become self-trapped, producing a stable, gravitating configuration if such solutions exist, manifesting as effective four-dimensional mass. 1

@article{deceuster2026_67-a-framework-for-r,
  title = {A Framework for Radion-Supported Gravitating Solitons: Toward a Geometric Interpretation of Localized Gravitational Mass},
  author = {De Ceuster, Peter},
  year = {2026},
  month = {02},
  institution = {SIG Labs},
  doi = {10.5281/zenodo.21319638},
  url = {https://peterdeceuster.uk/papers/67-a-framework-for-radion-supported-gravitating-solitons-toward},
  note = {Full text available at https://peterdeceuster.uk/articenter/work/Vgifj (2).pdf}
}