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The possibility of calculation of the conditional and unconditionalcomplexity of description of information objects in the algorithmic theory ofinformation is connected with the limitations for the set of the used languagesof programming (description). The results of calculation of the conditionalcomplexity allow introducing the fundamental information dimensions and thepartial ordering in the set of information objects, and the requirement ofequality of languages allows introducing the vector space. In case of optimumcompression, the "prefix" contains the regular part of the information aboutthe object, and is analogous to the classical trajectory of a material point inthe physical space, and the "suffix" contains the random part of theinformation, the quantity of which is analogous to the physical time in theintrinsic reference system. Analysis of the mechanism of the "Einstein's clock"allows representing the result of observation of the material point as a word,written down in a binary alphabet, thus making the aforesaid analogies moreclear. The kinematics of the information trajectories is described by theLorentz's transformations, identically to its physical analog. At the sametime, various languages of description are associated with various referencesystems in physics. In the present paper, the information analog of theprinciple of least action is found and the main problems of informationdynamics in the constructed space are formulated.

The possibility of constructing a relativistic space of information states based on the theory of complexity and analogies with physical space-time