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PreprintCC0arXiv

Mass for Particles from Extra Dimensions

Abstract

We investigate a geometric mechanism for mass generation in a codimension-two hedgehog braneworld. A massless particle propagating in the bulk acquires an effective four-dimensional mass through its motion along the compact angular extra dimension, yielding a dynamically determined Kaluza-Klein spectrum after canonical quantization. While the bosonic sector exhibits no radial confinement, extending the analysis to N = 1, 2 spinning-particle models shows that the spin-curvature coupling modifies the effective potential and introduces a level-dependent localization pattern for the Kaluza-Klein modes. The results establish a particle-mechanics realization of geometric mass generation in flux-supported codimension-two braneworlds and highlight the interplay between bulk geometry, spin, and the effective four-dimensional mass spectrum.

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BibTeX
@misc{souza2026mass,
  title = {{Mass for Particles from Extra Dimensions}},
  author = {F. E. A. de Souza and M. O. Tahim and R. I. de Oliveira Junior and I. M. Macêdo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.08697},
  eprint = {2609.08697},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08697},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Mass for Particles from Extra Dimensions
AU  - F. E. A. de Souza
AU  - M. O. Tahim
AU  - R. I. de Oliveira Junior
AU  - I. M. Macêdo
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.08697
UR  - https://arxiv.org/abs/2609.08697
AB  - We investigate a geometric mechanism for mass generation in a codimension-two hedgehog braneworld. A massless particle propagating in the bulk acquires an effective four-dimensional mass through its motion along the compact angular extra dimension, yielding a dynamically determined Kaluza-Klein spectrum after canonical quantization. While the bosonic sector exhibits no radial confinement, extending the analysis to N = 1, 2 spinning-particle models shows that the spin-curvature coupling modifies the effective potential and introduces a level-dependent localization pattern for the Kaluza-Klein modes. The results establish a particle-mechanics realization of geometric mass generation in flux-supported codimension-two braneworlds and highlight the interplay between bulk geometry, spin, and the effective four-dimensional mass spectrum.
ER  -