Information Path from Randomness and Uncertainty to Information, Thermodynamics, and Intelligence of Observer (1401.7041v11)

Abstract: Finding observing path creating its observer is important problem in physics and information science. In observing processes, each observation is act changing the observing process that generates interactive observation. Each interaction is discrete Yes-No impulse modeling Bit. Recurring inter-actions independent of physical nature is phenomenon of information. Multiple interactions generate random Markov chains covering multiple Bits. Impulse No action cuts maximum entropy-uncertainty, Yes action transfers cut minimum to next impulse creating maximin principle decreasing uncertainty. The cutoff entropies reveal hidden information naturally observing interactive impulse as elementary observer. Conversion impulse entropies to information integrates path functional. The maxmin variation principle formalizes interactive information equations. Merging Yes-No actions generate microprocess within bordered impulses running superposition of conjugated entropies entangling during time interval within forming space intervals. Interaction curves impulse geometry creating asymmetry which logically erases entangled entropy removing causal probabilistic entropy with symmetrical reversible logic and bringing asymmetrical information logic. Entropy-information topological gap connects asymmetrical logic with physical Markov diffusion whose energy memorizes logical Bit. Moving Bits selfform unit of information macroprocess attracting new UP through free Information. Multiple UP triples adjoin hierarchical network (IN) whose free information produces new UP at higher level node and encodes triple code logic. Each UP unique position in IN hierarchy defines location of each code logical structure. The IN node hierarchical level classifies quality of assembled Information. Ending IN node enfolds all IN levels. Multiple INs enclose Observer cognition and intelligence with consciousness.