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We test the validity of the Generalized Heisenberg's Uncertainty principle inthe presence of strong gravitational fields nearby rotating black holes;Heisenberg's principle is supposed to require additional correction terms whengravity is taken into account, leading to a more general formulation also knownas the Generalized Uncertainty Principle. Using as probe electromagnetic wavesacquiring orbital angular momentum when lensed by a rotating black hole, wefind from numerical simulations a relationship between the spectrum of theorbital angular momentum of light and the corrections needed to formulate theGeneralized Uncertainty Principle, here characterized by the rescaled parameter$\beta_0$, a function of the Planck's mass and the bare mass of the black hole.Then, from the analysis of the observed twisted light due to the gravitationalfield of the compact object observed in M87*, we find new limits for theparameter $\beta_0$. With this method, complementary to black hole shadowcircularity analyses, we obtain more precise limits from the experimental dataof M87*, confirming the validity of scenarios compatible with GeneralRelativity, within the uncertainties due to the experimental errors present inEHT data and those due to the numerical simulations and analysis.

Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*