Adib Posted January 27, 2008 Share Posted January 27, 2008 About a distance for elementary particles In "An interpretation about space and time in quantum mechanics" in Logic Colloquium 2007, we have seen that the usual distance is not defined for space and time because we apply the theory ZFU (set theory with urelements, non sets). We explained some correlations between particles. I would have doubts about the assumptions if I did not apply them for space successfully to explain the Big Crunch and the Big Bang in http://adibjebara.blogspot.com/ As time is but another dimension, I apply ZFU to time as well. Now, let U1xU2 be space time with U1 space and U2 time. Many things are discontinuous in quantum mechanics. So, why not space and time ? At the level of elementary particles, space and time are also not linearly ordered. As the experiment set up gives us meters and seconds, that means that the space and time considered by the experiment set up are the space and time at our level. I conjecture that when we measure, we introduce, finitely, order of urelements in U1 and U2, in a laboratory. A distance is number of urelements in between + 1 which is converted to the measurement at our level in meters and seconds. The experiment set up changes much what exists as space and time. The skeptics should be aware that some experiments needed interpretations and I provided them. As a Platonist, I see some reality in Dedekind cardinals and, thus, in ZFU. There is already an experiment where a particle goes both two separate ways. So, its space is different from ours. There remain to find other experiments to detect that locations and times are not linearly ordered. There remains also to comment on the lack of localism. I thank Mr Andereas Blass and Mr Abderazak Abadlia for their comments. Adib Ben Jebara http://jebara.topcities.com Link to comment Share on other sites More sharing options...
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