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

TL;DR

This paper proposes a novel method for representing and processing classical information using pure braid groups, leveraging their rich 2D structure to enhance information encoding and decoding in line with the holographic principle.

Contribution

It introduces a pure braid group formalism for classical information processing, demonstrating its suitability for efficient storage and decoding aligned with 2D holographic principles.

Findings

Information geometrization achieved through braid groups

Enhanced energetic efficiency for information coding

Proven capability for storing and processing information

Abstract

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.