Information transmittal, time uncertainty and special relativity

Natural time delays in transmission of information by physical processes are intertwined with relativistic phenomena in a structure of mutual interdependence. Relativistic effects considered in [Albert Einstein, Zur Elektrodynamik der bewegter Körper, Ann. der Physik 17 (1905) 891 921] are analyzed with respect to information transmittal, in relation to some basic notions of special relativity which are considered to include natural time delays due to finite speed of information transmittal in its equations and transformations. Synchronization of identical clocks at rest located at two different points A and B in a reference system at rest postulated by the definition of simultaneity in the above reference is conditioned not only on the light propagation between the points A and B but also on physical processes that transmit the information about arrival of rays of light from those points to the clocks. Alternative derivation of relativistic time transformation is presented that includes natural time delays due to information transmittal. It is demonstrated that relativistic transformations are contingent on the physical processes providing calibration signals by which the synchronization of time is done at different points. Those signals need not be restricted to rays of light. The image of a physical process described in relativistic coordinates is distorted, so its de-contraction and rectification are necessary for retrieval of the original process in a moving frame. Inverse transformations in real time are presented for software design of relativistic converters (image transformers) that are necessary for image rectification in particle accelerators ( -meson example) and for unmanned spacecraft control (Mars-Landing Problem). Synchronization signals different from light are acting in deep sea water and in the body of living species, with other types of relativity affecting biological processes. The results open new avenues for consideration of real time special relativity, for retrieval of the original physical processes from their images in relativistic coordinates, for information transmittal analysis in real time communication, and for investigation of life processes that depend on relativistic effects with natural time delays due to information transmittal.