  It was argued in a number of papers that the gravitational potential
calculated by using the modified QFT that follows from the Planck-length
deformed uncertainty relation implies the existence of black-hole remnants of
the order of the Planck-mass. Usually this sort of QFTs are endowed with two
specific features, the modified dispersion relation, which is universal, and
the concept of minimum length, which, however, is not universal. While the
emergence of the minimum-length most readily leads to the idea of the black
hole remnants, here we examine the behaviour of the potential that follows from
the Planck-length deformed QFT in absence of the minimum length and show that
it might also lead to the formation of the Planck mass black holes in some
particular cases. The calculations are made for higher-dimensional case as
well. Such black hole remnants might be considered as a possible candidates for
the dark-matter.
