The wavefunction for a hypothetical quantum box of size Planck length (L), when inverted through L, models the universe with this lower bound required by quantum gravitational constraints. The initial quantum box solutions are given by: [tex]\phi_n=\sqrt(2/L)\\sin(n \pi x/L)[/tex] However, having inverted the scale (so L-->1/L), the now "inverse quantum box" generates permitted states, all above L, i. e. those which obey this "ultraviolet" limit to quantum gravity: [tex]\phi_n^-^1=\sqrt(L/2)\\sin(L/n \pi x)=\sqrt(1/2P)\\sin(1/Pn \pi x)[/tex]. This new wavefunction represents an envelope that modifies other wavefunctions when considering gravitational effects. It applies the correspondence principle, using the reciprocal Planck limit in terms of probability P=1/L, to find a particle outside the Planck region. The correspondence principle is, in effect, a manifest transformation of such forbidden quantum gravitational states (those <L) inverted through P.