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Dark Matter as an effect of a minimal length

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arxiv 2207.09967 v1 pith:Z7HBKNE3 submitted 2022-07-20 gr-qc hep-ph

Pasquale Bosso , Mitja Fridman , Giuseppe Gaetano Luciano This is my paper · ORCID
classification gr-qchep-ph
keywords effectslengthminimaldarkimplicationsappliedbekenstein-hawkingconjecture
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In this work, we consider the implications of a phenomenological model of quantum gravitational effects related to a minimal length, implemented via the Generalized Uncertainty Principle. Such effects are applied to the Bekenstein-Hawking entropy to derive a modified law of gravity through Verlinde's conjecture. Implications on galactic scales, and in particular on the shape of rotational curves, are investigated, exploring the possibility to mimic dark matter-like effects via a minimal length.

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