ok never mind, i will enlighten myself:
The earth's axis is always tilted in (more or less, but it's complicated) the same direction. This is why we have seasons- during the winter we're tilted away (and australia is tilted inwards) and vice versa during the summer. At the equinoxes (spring and fall), seasons in the north and south hemispheres are equal because the earth's rotation axis happens to tilt neither towards the sun nor away from it (it is seen to be tilted only about an axis extending from the sun to the earth) so both hemispheres likewise get the same amount of exposure to the sun.
It is at these equinoxes that the egg trick supposedly works because "gravity is lined up" or some dogshit like that. Unfortunately, it's just not true. Even if you were right on the equator, right on top of a line extending from center mass earth to center mass sun (where the gravity of the earth and sun would be acting only vertically on the egg) there would be much greater forces acting on the egg than the gravitational pull of the sun such as wind, imperfections in the egg or table, gravitational pull of the moon, other planets, and the list goes on.
Additionally, the earth rotates and most people don't live right at the equator, so very few people will ever experience that "balanced" gravity. Even if you lived right on the equator, you would lie on the precise axis of alignment twice per day and otherwise the sun will be exerting a horizontal gravitational pull on the egg rather than a vertical one.
So in summary, it's totally and completely wrong. Search the web if you don't believe me, I'm sure there's a lot of information out there on this myth.