# Asymptotic generalized extended uncertainty principle

@article{Dabrowski2020AsymptoticGE, title={Asymptotic generalized extended uncertainty principle}, author={Mariusz P. Da̧browski and Fabian Wagner}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2020} }

We present a formalism which allows for the perturbative derivation of the Extended Uncertainty Principle (EUP) for arbitrary spatial curvature models and observers. Entering the realm of small position uncertainties, we derive a general asymptotic EUP. The leading 2nd order curvature induced correction is proportional to the Ricci scalar, while the 4th order correction features the 0th order Cartan invariant Psi^2 (a scalar quadratic in curvature tensors) and the curved space Laplacian of the…

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