The information and its observer: external and internal information processes, information cooperation, and the origin of the observer intellect

We examine information nature of observing interactive processes during conversion of observed uncertainty to observer certainty, which leads to minimax information law of both optimal extraction and consumption of information: by getting maximum of information from each of its observed minimum and minimizing the maximum while spending it. The minimax is a dual complimentary variation principle, establishing a mathematical form of an information law, which functionally unifies the following observer regularities. Integral measuring each observing process under multiple trial actions. Converting the observed uncertainty to information-certainty by generation of internal information micro and macrodynamics and verification of trial information. Enclosing the internal dynamics in information network (IN). Building the IN's dynamic hierarchical logic, which integrates the observer requested information in the IN code. Enfolding the concurrent information in a temporary build IN's high level logic that requests new information for the running observer's IN. Self-forming the observer inner dynamical and geometrical structures with a limited boundary, shaped by the IN information geometry during the time-space cooperative processes. These functional regularities create united information mechanism, whose integral logic self-operates this mechanism, transforming multiple interacting uncertainties to physical reality-matter, human information and cognition, which originate the observer information intellect. This logic holds invariance of information and physical regularities, following from the minimax information law. information dynamics; hierarchical network; threshold between objective and subjective observers; self-forming intellect.