p-Adic physics below and above Planck scales

Abstract

We present a rewiew and also new possible applications of $p$-adic numbers to pre-spacetime physics. It is shown that instead of the extension $R^n\to Q_p^n$, which is usually implied in $p$-adic quantum field theory, it is possible to build a model based on the $R^n\to Q_p$, 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.

8 pages, RevTeX, 2 encapsulated postscript figures, Invited paper to appear in the special issue of the Journal of Chaos, Solitons and Fractals on : "Superstrings, M, F, S ...Theory" M. S. El Naschie, C. Castro, Editors

References in corpus (1)

• The Universe of Fluctuations

Cited by in corpus (3)

• The status and programs of the New Relativity Theory
• A New Approach to Locality and Causality
• Quantum kinetic equation before and after Big Bang