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Quantum-gravity predictions for the fine-structure constant

High Energy Physics - Theory 2018-05-16 v1 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

Asymptotically safe quantum fluctuations of gravity can uniquely determine the value of the gauge coupling for a large class of grand unified models. In turn, this makes the electromagnetic fine-structure constant calculable. The balance of gravity and matter fluctuations results in a fixed point for the running of the gauge coupling. It is approached as the momentum scale is lowered in the transplanckian regime, leading to a uniquely predicted value of the gauge coupling at the Planck scale. The precise value of the predicted fine-structure constant depends on the matter content of the grand unified model. It is proportional to the gravitational fluctuation effects for which computational uncertainties remain to be settled.

Keywords

Cite

@article{arxiv.1711.02949,
  title  = {Quantum-gravity predictions for the fine-structure constant},
  author = {Astrid Eichhorn and Aaron Held and Christof Wetterich},
  journal= {arXiv preprint arXiv:1711.02949},
  year   = {2018}
}

Comments

4 pages plus references, 2 figures

R2 v1 2026-06-22T22:39:56.912Z