Classical and quantum mechanics on information spaces with applications to cognitive, psychological, social and anomalous phenomena

We use the system of p-adic numbers for the description of informationprocesses. Basic objects of our models are so called transformers ofinformation, basic processes are information processes, the statistics areinformation statistics (thus we present a model of information reality). Theclassical and quantum mechanical formalisms on information p-adic spaces aredeveloped. It seems that classical and quantum mechanical models on p-adicinformation spaces can be applied for the investigation of flows of informationin cognitive and social systems, since a p-adic metric gives quite naturaldescription of the ability to form associations