Symmetry , order , entropy and information

Conditions of applicability of the laws established for thermodynamic entropy do not necessarily fit to the entropy defined for information. Therefore, one must handle carefully the informational conclusions derived by mathematical analogies from the laws that hold for thermodynamic entropy. Entropy, and the arrow of its change are closely related to the arrows of the change of symmetry and of orderliness. Symmetry and order are interpreted in different ways in statistical thermodynamics, in symmetrology, and in evolution; and their relation to each other is also equivocal. Evolution is meant quite different in statistical physics and in philosophical terms. Which of the different interpretations can be transferred to the description of information? Entropy, introduced by Shannon on mathematical analogy borrowed from thermodynamics, is a mean to characterise information. One is looking for a possibly most general information theory. Generality of the sought theory can be qualified by its applicability to all (or at least the more) kinds of information. However, I express doubts, whether entropy is a property to characterise all kinds of information. Entropy plays an important role in information theory. This concept has been borrowed from physics, more precisely from thermodynamics, and applied to information by certain formal analogies. Several authors, having contributed to the FIS discussion and published papers in the periodical Entropy, emphasized the also existing differences in contrast to the analogies. Since the relations of entropy as applied in information theory to symmetry are taken from its physical origin, there is worth to take a glance at the ambiguous meaning of this term in physics in its relation to order and symmetry, respectively.