# If the Fine-Structure Constant were observed deviating across the sky in a directional manner...

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If the Fine-structure constant was measured to deviate in the sky , and this deviation was directional, which fundamental invariance principle would be violated?

Quasar survey by VLT has observed deviations in the FSC that appear to be locked against directions of distant galaxies.
https://advances.sciencemag.org/content/6/17/eaay9672

Galaxy cluster surveys corroborated the anisotropy , and were performed by an independent group
https://www.aanda.org/component/article?access=doi&doi=10.1051/0004-6361/201936602

Which particular fundamental symmetry is violated by these findings? Poincare symmetry? Lorentz invariance? Something else?
Your thoughts?