The mathematical physicist Paul Davies, a professor at the University of Adelaide in Australia, performed lengthy calculations of the conditions that must have existed at the moment of the Big Bang and came up with a result that can only be described as astonishing. According to Davies, if the rate of expansion had differed by more than 10-18 seconds (one quintillionth of a second), there would have been no universe. Davies describes his conclusion:
Careful measurements puts the rate of expansion very close to a critical value at which the universe will just escape its own gravity and expand forever. A little slower and the cosmos would collapse, a little faster and the cosmic material would have long ago completely dispersed. It is interesting to ask precisely how delicately the rate of expansion has been "fine tuned" to fall on this narrow dividing line between two catastrophes. If at time I S (by which the time pattern of expansion was already firmly established) the expansion rate had differed from its actual value by more than 10-18, it would have been sufficient to throw the delicate balance out. The explosive vigour of the universe is thus matched with almost unbelievable accuracy to its gravitating power. The big bang was not evidently, any old bang, but an explosion of exquisitely arranged magnitude
Source: http://www.creationofuniverse.com/html/equilibrium01.html
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