基于二维信息全息原理的纯辫群有效信息处理
Effective information processing with pure braid group formalism in view of 2D holographic principle for information
摘要:
所谓的全息原理,最初是针对高能物理学的,更一般地说,与物理载体(用其熵来衡量)不可分割地结合在一起的信息作为事件视界表面-一个二维物体。在本文中,我们提出了一个想法,代表经典的信息在形式主义的纯辫群,其特点是一个非常丰富的结构,为二维空间。这导致了一些有趣的属性,例如信息几何化,多字符字母表的信息编码特性或组结构解码方案的能量效率。我们还证明了所提出的纯辫群方法满足信息存储和处理的所有条件。
英文摘要:
The so-called holographic principle, originally addressed to the high energy physics, suggests more generally that the information inseparatly bounded with a physical carrier (measured by its entropy) scales as the event horizon surface---a two-dimensional object. In this paper we present an idea of representing classical information in formalism of pure braid groups, characterized by an exceptionally rich structure for two-dimensional spaces. This leads to some interesting properties, e.g. information geometrization, multi-character alphabets energetic efficiency for information coding characteristic or a group structure decoding scheme. We also proved that proposed pure braid group approach meets all the conditions for storing and processing of information.
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