However, if we invoke quantum mechanics, as Hawking and James Harte have done, the Heisenberg uncertainty principle requires the light cone, instead of coming to a point, to be rounded into something like a hemispheric cap. The radius of the cap is the Planck length, which is very small, about 4 X 10~33 centimeters. This cap forms during the Planck time from the beginning of the universe, which is about 10-43 seconds. While very small, this radius is still infinite compared to a point singularity, and its existence would drastically change our ideas about the origin of the universe.
Above the point where the hemispheric cap joins the cone, time runs forward in the usual way, but below it, for earlier times, time gradually turns into space and as we get finally to the bottom of the cap, it disappears altogether. The situation is similar to being at the South Pole and asking which direction would take a person directly toward the North Pole. The answer is that there is no such direction, since all directions at the South Pole are perpendicular to the north-south axis of Earth, which corresponds to time in this analogy.
When exactly at the South Pole, all paths taken eventually lead us northward, but none initially goes in the direction of the north-south axis.