Adib Posted December 28, 2007 Posted December 28, 2007 About space in quantum mechanics We apply set theory with urelements ZFU to physical space, we consider locations as urelements, elements of U. Ui is a subset of U with number of elements n. XiUi is the infinite cartesian product and a set of paths. Let us consider the set of paths of all elementary particles-locations which number is n. If n is greater than m in CC(2through m), countable choice for k elements sets k=2 through m, the set of paths will be the void set. So, physical space would become void, the universe would collapse and a Big Crunch would happen. But the matter would have to go somewhere and indeed the Big Bang happened. So, n is indeed greater than m. The negation of the axiom of choice is really true because it can be applied in physics. http://jebara.topcities.com
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