Conservation relationship bridging entropy and information

Entropy and information are interconnected concepts fundamental to physics and information theory with reflections in different fields like biology, computer science, cosmology, information technology, even social science and law. However, a generally accepted quantitative link between them is still...

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Main Author: Stoyan C. Russev
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Physics Open
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666032625000353
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author Stoyan C. Russev
author_facet Stoyan C. Russev
author_sort Stoyan C. Russev
collection DOAJ
description Entropy and information are interconnected concepts fundamental to physics and information theory with reflections in different fields like biology, computer science, cosmology, information technology, even social science and law. However, a generally accepted quantitative link between them is still missing. This study addresses the fundamental relationship between physical entropy and information. It is shown here that there is a simple and universal conservation relationship between physical entropy and appropriately interpreted information entropy. As an illustration of its application, it is demonstrated that Landauer's lower bound on entropy change can be directly derived from this relationship.
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institution Kabale University
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publishDate 2025-08-01
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spelling doaj-art-5fd44667f32d4882b5d6818a092e5daf2025-08-20T03:47:19ZengElsevierPhysics Open2666-03262025-08-012410028510.1016/j.physo.2025.100285Conservation relationship bridging entropy and informationStoyan C. Russev0Department of Condensed Matter Physics and Microelectronics, Faculty of Physics, Sofia University, 5 J. Bourchier, 1164, Sofia, BulgariaEntropy and information are interconnected concepts fundamental to physics and information theory with reflections in different fields like biology, computer science, cosmology, information technology, even social science and law. However, a generally accepted quantitative link between them is still missing. This study addresses the fundamental relationship between physical entropy and information. It is shown here that there is a simple and universal conservation relationship between physical entropy and appropriately interpreted information entropy. As an illustration of its application, it is demonstrated that Landauer's lower bound on entropy change can be directly derived from this relationship.http://www.sciencedirect.com/science/article/pii/S2666032625000353EntropyInformation theoryEntropy-information relationship
spellingShingle Stoyan C. Russev
Conservation relationship bridging entropy and information
Physics Open
Entropy
Information theory
Entropy-information relationship
title Conservation relationship bridging entropy and information
title_full Conservation relationship bridging entropy and information
title_fullStr Conservation relationship bridging entropy and information
title_full_unstemmed Conservation relationship bridging entropy and information
title_short Conservation relationship bridging entropy and information
title_sort conservation relationship bridging entropy and information
topic Entropy
Information theory
Entropy-information relationship
url http://www.sciencedirect.com/science/article/pii/S2666032625000353
work_keys_str_mv AT stoyancrussev conservationrelationshipbridgingentropyandinformation