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Fisher, bound, and extreme physical information for dissipative processes
Ferenc Márkus1, Katalin Gambár
1Institute of Physics, Budapest University of Technology and Economics, Budafoki út 8, H-1521 Budapest, Hungary. markus@phy.bme.hu
Summary
This study explores Fisher, bound, and physical information, proposing that specific bound information may effectively model dissipative processes in physics.
Area of Science:
- Information theory
- Thermodynamics
- Mathematical physics
Background:
- Fisher information and physical information are key concepts in statistical inference and quantum mechanics.
- Bound information, a less explored concept, relates to constraints on information.
- Dissipative processes involve energy loss and are fundamental in many physical systems.
Purpose of the Study:
- To investigate the theoretical underpinnings and potential applications of Fisher, bound, and physical information.
- To explore the relationship between different types of information in specific mathematical and physical contexts.
- To propose a novel interpretation of bound information for describing dissipative processes.
Main Methods:
- The study employs theoretical analysis and mathematical derivations.
- It examines special cases to illustrate the concepts.
- The focus is on conceptual exploration rather than empirical data.
Main Results:
- The paper elucidates the forms and meanings of Fisher, bound, and physical information.
- It highlights the potential of bound information to characterize dissipative systems.
- Specific mathematical formulations are discussed for these information types.
Conclusions:
- Bound information offers a unique perspective for understanding dissipative processes.
- Further theoretical development is warranted to fully explore this connection.
- The findings contribute to a deeper understanding of information in physical systems.
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