dorsal/arxiv
View SchemaThe Nature of the Chemical Process. 1. Symmetry Evolution - Revised Information Theory, Similarity Principle and Ugly Symmetry
| Authors | Shu-Kun Lin |
|---|---|
| Categories | |
| ArXiv ID | physics/0105024 |
| URL | https://arxiv.org/abs/physics/0105024 |
| Journal | Int. J. Mol. Sci. 2001, 2, 10-39 |
Abstract
Three laws of information theory have been proposed. Labeling by introducing nonsymmetry and formatting by introducing symmetry are defined. The function L (L=lnw, w is the number of microstates, or the sum of entropy and information, L=S+I) of the universe is a constant (the first law of information theory). The entropy S of the universe tends toward a maximum (the second law law of information theory). For a perfect symmetric static structure, the information is zero and the static entropy is the maximum (the third law law of information theory). Based on the Gibbs inequality and the second law of the revised information theory we have proved the similarity principle (a continuous higher similarity-higher entropy relation after the rejection of the Gibbs paradox) and proved the Curie-Rosen symmetry principle (a higher symmetry-higher stability relation) as a special case of the similarity principle. Some examples in chemical physics have been given. Spontaneous processes of all kinds of molecular interaction, phase separation and phase transition, including symmetry breaking and the densest molecular packing and crystallization, are all driven by information minimization or symmetry maximization. The evolution of the universe in general and evolution of life in particular can be quantitatively considered as a series of symmetry breaking processes. The two empirical rules - similarity rule and complementarity rule - have been given a theoretical foundation. All kinds of periodicity in space and time are symmetries and contribute to the stability. Symmetry is beautiful because it renders stability. However, symmetry is in principle ugly because it is associated with information loss.
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"abstract": "Three laws of information theory have been proposed. Labeling by introducing\nnonsymmetry and formatting by introducing symmetry are defined. The function L\n(L=lnw, w is the number of microstates, or the sum of entropy and information,\nL=S+I) of the universe is a constant (the first law of information theory). The\nentropy S of the universe tends toward a maximum (the second law law of\ninformation theory). For a perfect symmetric static structure, the information\nis zero and the static entropy is the maximum (the third law law of information\ntheory). Based on the Gibbs inequality and the second law of the revised\ninformation theory we have proved the similarity principle (a continuous higher\nsimilarity-higher entropy relation after the rejection of the Gibbs paradox)\nand proved the Curie-Rosen symmetry principle (a higher symmetry-higher\nstability relation) as a special case of the similarity principle. Some\nexamples in chemical physics have been given. Spontaneous processes of all\nkinds of molecular interaction, phase separation and phase transition,\nincluding symmetry breaking and the densest molecular packing and\ncrystallization, are all driven by information minimization or symmetry\nmaximization. The evolution of the universe in general and evolution of life in\nparticular can be quantitatively considered as a series of symmetry breaking\nprocesses. The two empirical rules - similarity rule and complementarity rule -\nhave been given a theoretical foundation. All kinds of periodicity in space and\ntime are symmetries and contribute to the stability. Symmetry is beautiful\nbecause it renders stability. However, symmetry is in principle ugly because it\nis associated with information loss.",
"arxiv_id": "physics/0105024",
"authors": [
"Shu-Kun Lin"
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"journal_ref": "Int. J. Mol. Sci. 2001, 2, 10-39",
"title": "The Nature of the Chemical Process. 1. Symmetry Evolution - Revised Information Theory, Similarity Principle and Ugly Symmetry",
"url": "https://arxiv.org/abs/physics/0105024"
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