论文标题

经典信息原则的统一和扩展

Unification and Extension of Classic Information Principles

论文作者

Xu, Jianfeng

论文摘要

制定信息理论的通用框架是有益的。这项研究证明,客观信息理论(OIT)的分解模型是与四个基本假设讨论信息的足够且必要的条件。它是针对OIT中定义的每个度量的证明,在经典信息理论或常用原理中都有一个相应的示例。此外,原子信息被定义为不可分割的基本信息,并且证明了音量添加性以用于原子信息的组合。因此,可以得出单个量子载体可以携带的信息量,并证明将信息量与质量,能量和时间相关的定理。所有这些努力都表明,OIT是一种新的信息理论,可以统一各种经典信息原则,甚至可以准确揭示信息,物质和能量之间的定量关系。

To formulate a universal framework of information theory is beneficial. This study proves that the sextuple model of the objective information theory (OIT) is a sufficient and necessary condition for discussing information with four basic postulations. It is demonstrated for each metric defined in the OIT, there is a corresponding example in classical information theories or commonly used principles. Furthermore, atomic information is defined as the indivisible elementary information and the volume additivity is proven for combinations of atomic information. Consequently, the information volume that a single quantum carrier can carry is derived and a theorem relating information volume to mass, energy, and time is proved. All these efforts illustrate that the OIT is a novel information theory that can unify a variety of classical information principles and even accurately reveal the quantitative relationship between information, matter and energy.

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