mardi 15 mai 2007

One reason why the negation of the axiom of choice is true

One reason why the negation of the axiom of choice is trueAs part of a complicatedtheory about a singularity, I wrote tentativelythe following :We apply set theory with urelements ZFU to physicalspace of elementary particles;we consider locations as urelements, elements of U,in number infinite. Ui is a subsetof U with number of elements n. XiUi is the infinitecartesian product and a set of paths.
Let us consider the set of paths of all elementaryparticles-locations which number is n.If n is greater than m in CC(2 through m),countable choice for k elements sets k=2through m, the set of paths will be the void set.So, after an infinite time, physicalspace would become void, the universe wouldcollapse and a Big Crunch would happen.
The matter would have to go somewhere and indeedthe Big Bang happened. So, n is indeedgreater than m.
Let us notice that physical space is infinite.
It's rather complicated but what do you think ? Isn't it most likely that the negation of the axiom of choice is true ?It is like the non-euclidian geometry whichis known in physics as true.
Regards,
Adib Ben Jebara.
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