K
kewell_
Guest
I would like to suggest the following proposition for discussion.<br /><br />According to the big bang theory, if we could trace the evolution of the expanding universe backwards in time we would find that at some stage it will have shrunk to half its present size. Likewise at various earlier times it would have been a quarter, then one eighth, then a sixteenth and so on of what it is now until, by continuing the process we would eventually come to the big bang. At that point we should find that the universe was infinitely dense, infinitely hot and infinitesimally small, or so we are told.<br /><br />One important assumption underlying this scenario is that the universe is and always has been finite in size. But no one knows how big the universe really is; whether it is finite or infinite. As far as I know, there is nothing in the laws of physics that precludes the possibility that the universe is infinite.<br /><br />Suppose, for the sake of discussion, that the universe is infinitely big? One would reasonably expect, I think, that the same laws would hold true as they do now and the same evolutionary description as given above would apply but with this difference, that when we trace the history of the expansion backwards in time to when the universe was, say, half its present size the universe would still have been infinitely large. This is because half of infinity is infinity. Likewise, so is a quarter, or an eighth or a sixteenth or any non-zero fraction of infinity, no matter how small.<br /><br />Following this line of logic, if we arbitrarily trace the evolution of an infinitely large universe as far back as we like to any finite time in the past we must find that the universe was then also infinitely large. Even if we continued with the process indefinitely the universe would still be infinite. And so a hypothetical universe that is infinitely large now but finite in age must have been infinitely large at the time of its origin. But if the big bang theory in its pre