Adib Posted March 9, 2008 Posted March 9, 2008 The Big Crunch will happen after an infinite time The collapse of the universe will happen after an infinite time. For that, a singularity has to happen and I think no space (the void set) must have a part in it. We have seen that time can be infinite in "An idea about time in cosmology" in ASL Annual Meeting 2OO4. We have also seen that space at the level of elementary particles can be described with only a particular case of the axiom of choice holding, countable choice for a family of sets of n elements n=2 through m ,in "About space and time of elementary particles" in ASL Annual Meeting 2005 and in "About space being not a continuum" in Logic Colloquium 2005. No space (the void set) cannot be reached by a finite number of times but by infinite Cartesian products of sets of locations. The void set will be supplemented with particles and it will not be the void set any more but without there being space. Then, it will be again the singularity of the Big Bang which creates space. To explain more, in my view, space is the set U of urelements (non sets) of a Fraenkel Mostowski model and the Big Crunch will occur because of what happens with such a space. The connection between that specific set theory and physical space is my thesis, at the level of elementary particles. The conclusion of the Big Crunch happening holds because bodies are made of elementary particles. The actual infinite means that the Big Crunch will really happen. We have to notice that time can be countable or of the cardinality of the set of urelements U or a continuum, like space can be of the cardinality of U or a continuum, in different cases. Adib Ben Jebara
kaneda Posted March 9, 2008 Posted March 9, 2008 According to legend, the expansion of the universe is accelerating meaning that it will not rebound but expand forever. Unless the universe has a finite ability to expand so will literally rebound into a big crunch. I hate the word "infinite". After an infinite time, all material in the universe will have undergone heat death or formed just one big black hole which according to legend will have evaporated. All particles will have exceeded their 10^30+ years life span and so ceased to exist. After infinite time, nothing!
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