论文标题

鉴于2D全息原则,有效的信息处理与纯辫子组形式主义有关

Effective information processing with pure braid group formalism in view of 2D holographic principle for information

论文作者

Stokowski, Hubert, Jacak, Janusz E., Jacak, Lucjan

论文摘要

所谓的全息原理最初涉及高能物理学,更普遍地表明,信息在事件范围的表面上以物理载体(以其熵的衡量)尺寸(通过其熵测量)缩小 - 二维对象。在本文中,我们提出了一种在纯编织群体形式主义中代表经典信息的想法,其特征是二维空间的特殊结构。这导致了一些有趣的属性,例如信息几何化,多头字母的信息编码特征或组结构解码方案的能量效率。我们还证明,拟议的纯编织组方法符合信息存储和处理信息的所有条件。

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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