Toward Geometric Localization in Kaluza-Klein Gravity: Einstein-Radion Nonlinear Electromagnetic Solitons

We propose a theoretical framework exploring a candidate geometric principle underly- ing the localization of particle-like states. By building upon Wheeler’s concept of geons and introducing non-linear modifications to classical electromagnetism, we investigate a higher- dimensional coupling between extended electromagnetic fields and a dynamic radion field within a compactified spacetime. In this framework, we explore whether some particle- like states conventionally described as elementary excitations may admit a complementary geometric interpretation as localized nonlinear field configurations. Specifically, this frame- work investigates whether the ADM mass of localized classical configurations can contain a nontrivial contribution arising from dynamical compactification degrees of freedom. This suggests that a localized electromagnetic excitation may manifest coupled to a localized deformation of the higher-dimensional spacetime geometry. 1

@article{deceuster2026_79-toward-geometric-,
  title = {Toward Geometric Localization in Kaluza-Klein Gravity: Einstein-Radion Nonlinear Electromagnetic Solitons},
  author = {De Ceuster, Peter},
  year = {2026},
  month = {02},
  institution = {SIG Labs},
  doi = {10.5281/zenodo.21324365},
  url = {https://peterdeceuster.uk/papers/79-toward-geometric-localization-in-kaluza-klein-gravity-einstein},
  note = {Full text available at https://peterdeceuster.uk/articenter/work/klein.pdf}
}