Anti-entropy difficulties

In hmolscience, anti-entropy difficulties refers to the confusions associated with the conceptual understanding of entropy in respect to order, disorder, complexity, evolution, and social phenomena—the gist of which being that people tend to associate “entropy” with disorder and “entropy increase” with increase in disorder or chaos, and therein posit numerous types of theoretical entropy antonyms, in attempts at quick fix of the apparent confusion; which generally traces to Hermann Helmholtz’s 1882 statement (ΡΊ) that the magnitude of entropy |S| can be equated with disorder.

Overview
The difficulties with all entropy antonyms, e.g. "anti-entropy", is that the tendency towards entropy increase in systems, does not translate into the tendency towards chaos or disorder increase in evolution and social terms, but rather into the quantifiable measure of “transformation content” increase or increase in the “equivalence value of all uncompensated transformations”, in the original words of Clausius; which has to do with the concluding supposition that entropy can’t be reversed—or in now-defunct Lavoisier-speak that caloric is not conserved when a body returns to its original state following a cyclical process of heat expansion and cooling contraction. The translation of entropy increase tendency to evolutionary social concerns is that when entropy reaches a maximum, free energy will reach a minimum, equilibrium will be reached, and the process will therein cease to go in the forward direction; which, in respect to the molecular structures involved, e.g. a given human or social structure, in a given state, translates to the quantifiable meaning that each bound state atomic geometry, e.g. Jack or Jill, America or Russia, etc., at the bottom or top of the hill, will have a different free energy of formation in each specific state of existence, as are, by standard methodology, tabulated on free energy tables.

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