P-ADIC QUANTUM-CLASSICAL ANALOG OF THE HEISENBERG UNCERTAINTY RELATIONS

We propose a physical interpretation for a p-adic picture of reality. p-adic numbers describe only measurements with finite accuracy, i.e. a ll physical measurements. At the same time, real numbers describe meas urements with infinite accuracy, i.e. only ideal measurements. Thus, t he p-adic picture of reality is more ''real'' than the Peal one. Using p-adic analysis, we study the Heisenberg-type uncertainty relations. It is shown that in the p-adic picture these relations are not essenti ally quantum. We present general uncertainty relations which are valid both in classical and quantum cases.