Transform information: A symmetry breaking measure

被引:0
作者
G. V. Vstovsky
机构
[1] VST Laboratories,
来源
Foundations of Physics | 1997年 / 27卷
关键词
Entropy; Symmetry Breaking; Fisher Information; Information Measure; Multifractal Spectrum;
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学科分类号
摘要
A connection between two fundamental concepts of information and symmetry breaking (SB) is established. A concept called transform information (TI) is introduced. The known information measures (Hartley, von Neumann-Shannon-Wiener, Fisher informations, Renyi entropies) can be derived as (or mathematically expressed by) the particular forms of TI for certain transforms of a physical systems (when they are described by the probability measures). As TI is zero when the system is invariant under respective transform, it can be considered, when nonzero, as a quantitative SB measure in the system under study. The classical information measures that are derived from TI also can be perceived as SB measures. This fact is a base for assigning a sense to information. The concept of TI is extended to the cases when systems are described without the use of probability concept.
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页码:1413 / 1444
页数:31
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