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While studying the wavefunctions a weird idea struck my mind . The idea is like ...

How might the quantization of gravitational fields at the atomic scale, if it were to be reconciled with both quantum mechanics and general relativity, influence the energy levels and spectral lines of atoms? Specifically, what modifications could occur to atomic spectra due to potential gravitational interactions at quantum scales, considering the impact of quantum gravity on the perturbative treatment of these interactions?

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For a literature-based approach to an answer, consider corrections to atomic spectra due to the weak nuclear interaction, which is much stronger than gravity. Such corrections consist almost entirely of transitions which have the wrong symmetries to be explained by electromagnetism and the strong force, rather than (measureable) shifts in energy levels. However, we have no evidence of similar symmetry differences for gravity, which makes observations much harder.

In this old answer, I listed some "semi-quantum" measurements of gravitational interactions in subatomic systems.

rob
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