TRANSITION AND EVOLUTION OF INFORMATION AT THE MICROSCOPIC LEVEL

A. V. Yudenkov, Aleksandr M. Volodchenkov, L. P. Rimskaya
{"title":"TRANSITION AND EVOLUTION OF INFORMATION AT THE MICROSCOPIC LEVEL","authors":"A. V. Yudenkov, Aleksandr M. Volodchenkov, L. P. Rimskaya","doi":"10.36724/2072-8735-2021-15-5-62-66","DOIUrl":null,"url":null,"abstract":"A simultaneous development of the fundamental research areas of the information theory is needed for efficient development in the information technologies. It is known that for the complicated macroscopic systems information evolution may be shaped on the basis of the principal thermodynamics laws (the second law of thermodynamics, etc). At the same time it is not known whether the fundamentals of the information theory for the macroscopic systems may be applicable to the microscopic systems. The study works out a mathematic model of the discrete phase space adapted to describing the evolution of information (entropy) of the microscopic systems. The discrete phase-space model rests on the indeterminacy principle and fundamental properties of the discrete continuous-time Markovian systems. The Kolmogorov equations represent the main mathematical tools technique. The suggested model refers to the smallest metric scale when the external macroscopic observation is possible. This scale can be viewed as a quasiclassical level. The research results are the following. The structure of the phase space of the elementary signal is revealed. It is demonstrated that the entropy of the microscopic systems increases, i.e. for the microscopic systems the second law of thermodynamics is true. There has been demonstrated transition from the microscopic model to the macroscopic one thus proving the former’s adequacy. The discrete phase-space model is promising in the aspect of further development. For example, it can be applied to the physical systems “particle – field”. The approach represented by the model will allow to study electromagnetic and gravity fields at the quasiclassical level. The above model of the discrete phase space and its application in the study of the evolution of the microscopic systems is a proprietary design of the authors.","PeriodicalId":263691,"journal":{"name":"T-Comm","volume":"94 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"T-Comm","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36724/2072-8735-2021-15-5-62-66","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

A simultaneous development of the fundamental research areas of the information theory is needed for efficient development in the information technologies. It is known that for the complicated macroscopic systems information evolution may be shaped on the basis of the principal thermodynamics laws (the second law of thermodynamics, etc). At the same time it is not known whether the fundamentals of the information theory for the macroscopic systems may be applicable to the microscopic systems. The study works out a mathematic model of the discrete phase space adapted to describing the evolution of information (entropy) of the microscopic systems. The discrete phase-space model rests on the indeterminacy principle and fundamental properties of the discrete continuous-time Markovian systems. The Kolmogorov equations represent the main mathematical tools technique. The suggested model refers to the smallest metric scale when the external macroscopic observation is possible. This scale can be viewed as a quasiclassical level. The research results are the following. The structure of the phase space of the elementary signal is revealed. It is demonstrated that the entropy of the microscopic systems increases, i.e. for the microscopic systems the second law of thermodynamics is true. There has been demonstrated transition from the microscopic model to the macroscopic one thus proving the former’s adequacy. The discrete phase-space model is promising in the aspect of further development. For example, it can be applied to the physical systems “particle – field”. The approach represented by the model will allow to study electromagnetic and gravity fields at the quasiclassical level. The above model of the discrete phase space and its application in the study of the evolution of the microscopic systems is a proprietary design of the authors.
微观层面信息的转换与演化
信息技术的高效发展需要信息论基础研究领域的同步发展。众所周知,对于复杂的宏观系统,信息演化可以根据主要的热力学定律(热力学第二定律等)来形成。同时,宏观系统的信息论的基本原理是否适用于微观系统还不清楚。建立了一个适合于描述微观系统信息(熵)演化的离散相空间数学模型。离散相空间模型建立在离散连续马尔可夫系统的不确定性原理和基本性质的基础上。柯尔莫哥洛夫方程代表了主要的数学工具技术。所建议的模型是指在可能进行外部宏观观测时的最小度量尺度。这个音阶可以看作是准古典音阶。研究结果如下:揭示了初等信号的相空间结构。证明了微观系统的熵增加,即对于微观系统,热力学第二定律是正确的。从微观模型到宏观模型的过渡已经得到证明,从而证明了微观模型的充分性。离散相空间模型具有较好的发展前景。例如,它可以应用于物理系统“粒子场”。该模型所代表的方法将允许在准经典水平上研究电磁场和重力场。上述离散相空间模型及其在微观系统演化研究中的应用是作者的专有设计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信