No.
One of the fundamental tests of Big Bang cosmology is that it predicts the right temperature for the universe relative to the age of the universe.
Now, I do not mean the right temperature to millions of decimal places, but I do mean that Big Bang cosmology does predict a 2-3 K background radiation temperature given its age of 10 - 15 billion years ( current expansion rate), and the measured primordial element abundances which are sensitive to how hot the universe was when its density was high enough for nucleosynthesis to happen.
The perfect black body character of the cosmic background radiation, shown in the data and curve above, was a spectacular triumph for Big Bang theory. What we still do not fully understand, and what Big Bang cosmology does not offer, is an explanation for the isotropy of this radiation. It is true that Big Bang cosmology is a cosmology based on a homogeneous and isotropic expansion of the universe, but we do not understand how regions of the sky farther apart than their current light travel time since the Big Bang, can still have exactly the same temperature to better than 1 part in 100,000.
Inflationary Big Bang cosmology provides a 'simple' answer, but only by demanding that the universe has exactly the critical density. This possibility now seems to be confirmed by the recent slew of observations and data since 1998 which show a 'critical' universe with a substantial cosmological constant force.
Copyright 1997 Dr. Sten Odenwald
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