The Structure of Information

Title: The Structure of Information

Research Question: How can we model the structure of information in a formal way that is applicable to both continuous and discrete information systems?

Methodology: The study proposes a formal model of information using five axioms that define identity, containment, and joins of infons. The joins are shown to be commutative, associative, and have many identity elements, two of which are multiplicative and additive. The order or size of an infon is defined.

Results: The research found that the structure of information can be modeled using a formal system that allows for the representation of both continuous and discrete information systems. The model shows that the identity of information remains over time, regardless of the system's state. It also demonstrates that there are many ways for systems to interact or observe each other based on the configuration of the information.

Implications: This research has implications for various fields such as computer science, quantum physics, and mathematics. It provides a framework for modeling and understanding the structure of information in both closed and open systems. The model can be used to study the properties of information, such as Shannon's information theory, without having to build them into the theory. It also allows for the manipulation and querying of macro systems, making it a valuable tool for researchers and practitioners in these fields.

Link to Article: https://arxiv.org/abs/0309004v1 Authors: arXiv ID: 0309004v1