Quantifying Daseinisation Using Shannon Entropy

Author:

Zapatrin Roman1

Affiliation:

1. The State Russian Museum, Department of Information Technologies, St.Petersburg, RUSSIA

Abstract

Topos formalism for quantum mechanics is interpreted in a broader, information retrieval, perspective. Contexts, its basic components, are treated as sources of information. Their interplay, called daseinisation, defined in purely logical terms, is reformulated in terms of two relations: exclusion and preclusion of queries. Then, broadening these options, daseinisation becomes a characteristic of proximity of contexts; to quantify it numerically, Shannon entropy is used.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Computer Science Applications,Control and Systems Engineering

Reference5 articles.

1. A. Doering, C.J. Isham. A Topos Foundation for Theories of Physics: I. Formal Languages for Physics (2007). [quant-ph/0703060]

2. A. Doering, C.J. Isham. A Topos Foundation for Theories of Physics II. Daseinisation and the Liberation of Quantum Theory (2007).[arxiv:quant-ph/0703062]

3. C. Flori, Review of the Topos Approach to Quantum Theory, arXiv:1106.5660 [math-ph]

4. C. Flori, Lectures on Topos Quantum Theory,arXiv:1207.1744 [math-ph]

5. M. Melucci, An investigation of quantum interference in information retrieval, In: Proceedings of the Information Retrieval Facility Conference (IRFC), 2010

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