Constraining Lorentz Invariance Violation via Precision Atomic Spectroscopy

Abstract: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 $\xi$ 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 $\xi \in [-14.3,\; 1.37] \times 10^5$. 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.

arXiv:2611.06392 [gr-qc]

(or arXiv:2611.06392v1 [gr-qc] for this version)

https://doi.org/10.48550/arXiv.2611.06392 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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