if i understand the original question correctly then i dont think we need space time curves, altering c or whatever (it is fun though
) The only thing we need is the quantum wave
the problem with the discontinuity on the planck scale only applies to a measurement of the particle. as soon as the particle is unperturbed, the wave function (describing the probability to find the particle anywhere) is spread out over space (due to the uncertainty effect). and it might move, or whatever, but the point is, it is completely continuous, onlyt when a measurement or interaction is made, the wave function collapses and feels the discontinuity of space.
i think
i'm very tired and after writing the above down, i'm not completely sure anymore...
Bo
