In our previous arXiv papers (“The Information and the Matter”, v1, v5; more systematically the informational conception is presented in the paper “The Information as Absolute”, 2014) it was rigorously shown that Matter in our Universe – and Universe as a whole - are some informational systems (structures), which exist as uninterruptedly transforming [practically] infinitesimal sub-sets of the absolutely infinite and fundamental “Information” Set. Such a conception allows not only to clear essentially a number of metaphysical and epistemological problems in philosophy but, besides, allows to suggest a reasonable physical model. Since Matter in Universe is an informational system where every interaction between Matter’s sub-structures, i.e. – particles and systems of the particles – happens always as an exchange by exclusively true information between these structures, the model is based on the conjecture that Matter is some analogue of computer. This conjecture, in turn, allows to introduce in the model the basic logical elements that constitute the material structures and support the informational exchange - i.e. the forces - between the structures. The model is experimentally testable and yet now makes be more clear a number of basic problems in special relativity, quantum mechanics, and, rather probably, in [now – in Newtonian] gravity. This paper is a next upgrade of earlier version http://arxiv.org/abs/0707.4657, 2012 This text contains two version of the paper: English version (pages 1-40) and Russian version (pages 1-86)