Constraining Lorentz Invariance Violation via Precision Atomic Spectroscopy

@misc{lemos2026constraining,
  title = {{Constraining Lorentz Invariance Violation via Precision Atomic Spectroscopy}},
  author = {A. S. Lemos and J. E. J. Matias and F. Dahia and I. P. Lobo},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06392},
  eprint = {2611.06392},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06392},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Constraining Lorentz Invariance Violation via Precision Atomic Spectroscopy
AU  - A. S. Lemos
AU  - J. E. J. Matias
AU  - F. Dahia
AU  - I. P. Lobo
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06392
UR  - https://arxiv.org/abs/2611.06392
AB  - This paper investigates Lorentz violation arising from quantum gravity effects in electronic and muonic hydrogen atoms. The violation is modeled through a modified dispersion relation parameterized by a dimensionless coefficient ξ and suppressed by the Planck scale. Using high-precision spectroscopic data and a chi-squared fitting procedure that carefully accounts for theoretical uncertainties in the Rydberg constant and the proton radius, the analysis yields a 95% confidence level constraint ξ∈ [−14.3, 1.37] × 10^5. The mass scaling of the effect reveals two distinct regimes: for the lowest-order deformation, the heavy nucleus amplifies the signal, while for higher-order corrections, the lepton dominates the sensitivity. These bounds approach Planck-scale sensitivity using the simplest atomic systems, thereby circumventing ambiguities inherent in more complex quantum systems.
ER  -