Caution: I am not sure about this topic, and I never read Tipler's papers and books except for one paper, but it seems that his ideas are quite interesting to ponder.

An interesting page to begin with is http://www.aleph.se/Trans/Global/Omega/. It is mentioned there that according to Frank Tipler it is possible for intelligent beings to process and store an infinite amount of information in the universe, if certain conditions are fulfilled. His definition of Omega Point is essentially a future c-boundary which is a single point and an Aleph state, where information processing continues indefinitely along at least one world-line gamma all the way to the future c-boundary of the universe. i.e. Life never dies out.

Tipler himself describes his own Omega Point here: http://129.81.170.14/~tipler/why.html. He cited other scientists, like MacCallum, Barrow, Yorke etc. MacCallum has shown that a three-sphere closed universe with a single point future c-boundary is of measure zero in initial data space. Yorke has shown that a chaotic physical system is likely to evolve into a measure zero state if and only if its control parameters are intelligently manipulated. Thus life (which near the final state, is really collectively intelligent computers) almost certainly must be present arbitrarily close to the final singularity in order for the known laws of physics to be mutually consistent at all times.

In the meantime, I searched today in arxiv.org to find clues on this question, and only found 13 papers by Tipler, two of them are seemingly quite related to this question: http://arxiv.org/abs/gr-qc/0003082 and http://arxiv.org/abs/0704.0058.

While his ideas seem interesting from philosophical or theological viewpoint, as far as I know, they lack support from observation/astronomical data. So, what is your opinion? Thank you and best wishes.

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