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关于信息本质和容量的研究

An Investigation of the Essence and Volume of Information

摘要:[目的] 分析基于信息六元组模型的信息容量定义和性质,提出信息与物质、能量和时间的关系公式,为信息科学特别是量子信息科技应用提供理论参照。 [方法] 基于客观信息论提出的信息六元组模型,结合量子信息理论,通过严格的数学公理化方法,研究了多种组合条件下的信息容量效应,推导了信息容量与质量、能量和时间的关系。 [结果] 证明了利用信息熵定义信息容量仅仅是客观信息论所定义信息容量的一种特例,估算了单个量子载体所能承载的信息容量,推导给出信息与物质、能量和时间的关系公式,并以此计算和分析了迄今为止宇宙可能承载的信息容量。 [局限] 相关理论方法需要在物理学实证研究和复杂信息系统科学应用中得到验证。 [结论] 客观信息论的信息容量内涵能够较为深刻和准确地揭示客观世界物质、能量、和信息三大组成要素之间的相互关系,具有很好的普适意义和应用前景。

英文摘要:[Objective]This paper studies the relationship between information volume and mass, energy, and time, through analyses of definition and properties of information volume based on the information sextuple model, in order to provide a theoretical reference for research and applications of information science, especially quantum information. [Methods] Based on the information sextuple model in the Objective Information Theory, along with the theories of quantum information, we studied the information volume effect under a variety of combinatorial conditions, and strictly derived the relationship between information and matter, energy and, time through mathematical axiomatic methods. [Results] We proved that the information capacity based on the information entropy is a special case of the definition of information volume in the Objective Information Theory. Furthermore, we estimated the information volumne of a single quantum carrier, derived the relationship formula between information volume and mass, energy and, time. Based on this, we estimated and comparatively analyzed the information volume existed in the universe. [Limitations] These theoretical results are in need of validation with empirical physical studies and applications of complex information systems science [Conclusions] The connotation of information volume of the Objective Information Theory can profoundly and accurately, to a certain extent, reveal the relationship among the three basic elements of the objective worldthat is, matter, energy and information, demonstrating a good universal significance and application prospect.

版本历史

[V6] 2022-07-09 00:04:02 chinaXiv:202205.00179V6 下载全文
[V5] 2022-06-27 22:32:52 chinaXiv:202205.00179v5 查看此版本 下载全文
[V4] 2022-06-13 13:33:29 chinaXiv:202205.00179v4 查看此版本 下载全文
[V3] 2022-06-06 22:24:48 chinaXiv:202205.00179v3 查看此版本 下载全文
[V2] 2022-06-01 09:50:21 chinaXiv:202205.00179v2 查看此版本 下载全文
[V1] 2022-05-30 22:45:10 chinaXiv:202205.00179v1 查看此版本 下载全文
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