GENERALIZED UNCERTAINTY PRINCIPLE FROM LONG RANGE KERNEL EFFECTS: THE CASED OF THE HAWKING BLACK HOLES TEMPERATURE


 We prove the existence of an analogy between spatial long range interactions which are of convolution-type introduced in non-relativistic quantum mechanics and the generalized uncertainty principle predicted from quantum gravity theories. As an illustration, black holes temperatures effects are discussed. It was observed that for specific choices of the moment's kernels, cold black holes may emerge in the theory.