p-adic physics below and above planck scales |
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Institution: | 1. Université Paris-Est, Laboratoire Navier (UMR 8205), CNRS, Ecole des Ponts ParisTech, IFSTTAR, F-77455 Marne-la-Vallée, France;2. Université Paris-Est, MAST, SDOA, IFSTTAR, F-77447 Marne-la-Vallée, France |
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Abstract: | We present a review and also new possible applications of p-adic numbers to pre-space-time physics. It is shown that instead of the extension IRn → Qpn, which is usually implied in p-adic quantum field theory, it is possible to build a model based on the IRn → Qp, where p=n+2 extension and get rid of loop divergences. It is also shown that the concept of mass naturally arises in p-adic models as inverse transition probability with a dimensional constant of proportionality. |
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