A Physical Theory of Information vs. a Mathematical Theory of Communication

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vs. a Mathematical Theory of Communication</title> <meta name="description" content="A Physical Theory of Information vs. a Mathematical Theory of Communication"> <meta name="keywords" content="Physical theory of information, binary data matrix model, Shannon information theory, bit information principle."> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <meta name="citation_title" content="A Physical Theory of Information vs. a Mathematical Theory of Communication"> <meta name="citation_author" content="Manouchehr Amiri"> <meta name="citation_publication_date" content="2024/03/22"> <meta name="citation_journal_title" content="International Journal of Computer and Information Engineering"> <meta name="citation_volume" content="18"> <meta name="citation_issue" content="3"> <meta name="citation_firstpage" content="172"> <meta name="citation_lastpage" content="177"> <meta 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article presents a general notion of physical bit information that is compatible with the basics of quantum mechanics and incorporates the Shannon entropy as a special case. This notion of physical information leads to the Binary Data Matrix model (BDM), which predicts the basic results of quantum mechanics, general relativity, and black hole thermodynamics. The compatibility of the model with holographic, information conservation, and Landauer’s principle is investigated. After deriving the “Bit Information principle” as a consequence of BDM, the fundamental equations of Planck, De Broglie, Bekenstein, and mass-energy equivalence are derived.</p> <iframe src="https://publications.waset.org/10013571.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Physical%20theory%20of%20information" title="Physical theory of information">Physical theory of information</a>, <a href="https://publications.waset.org/search?q=binary%20data%20matrix%20model" title=" binary data matrix model"> binary data matrix model</a>, <a href="https://publications.waset.org/search?q=Shannon%20information%20theory" title=" Shannon information theory"> Shannon information theory</a>, <a href="https://publications.waset.org/search?q=bit%20information%20principle." title=" bit information principle."> bit information principle.</a> </p> <a href="https://publications.waset.org/10013571/a-physical-theory-of-information-vs-a-mathematical-theory-of-communication" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10013571/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10013571/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10013571/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10013571/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10013571/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10013571/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10013571/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10013571/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10013571/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10013571/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10013571.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">145</span> </span> <p class="card-text"><strong>References:</strong></p> <br>[1] Shannon, Claude Elwood. "A mathematical theory of communication." ACM SIGMOBILE mobile computing and communications review 5.1 (2001): 3-55. <br>[2] Griffin, Emory A. A first look at communication theory. McGraw-Hill, 2003. <br>[3] Logan, Robert K. "What is information?” Why is it relativistic and what is its relationship to materiality, meaning and organization." Information 3.1 (2012): 68-91. <br>[4] MacKay, D. M. "Proceedings of the information theory symposium." (1950). <br>[5] Lombardi, Olimpia, Federico Holik, and Leonardo Vanni. "What is Shannon?" Synthese 193.7 (2016): 1983-2012. <br>[6] Barwise, Jon, and Jerry Seligman. Information flow: the logic of distributed systems. Cambridge University Press, 1997. <br>[7] Dretske, Fred. "Knowledge and the Flow of Information." (1981). <br>[8] Timpson, Christopher Gordon. "Quantum information theory and the foundations of quantum mechanics." arXiv preprint quant-ph/0412063 (2004). <br>[9] Brukner, Časlav, and Anton Zeilinger. "Conceptual inadequacy of the Shannon information in quantum measurements." Physical Review A 63.2 (2001): 022113. <br>[10] Lindgren, Jussi, and Jukka Liukkonen. "The Heisenberg Uncertainty Principle as an Endogenous Equilibrium Property of Stochastic Optimal Control Systems in Quantum Mechanics." Symmetry 12.9 (2020): 1533. <br>[11] Haag, Rudolf. Local quantum physics: Fields, particles, algebras. Springer Science & Business Media, 2012. <br>[12] Hooft, Gerard T. "Deterministic quantum mechanics: the mathematical equations." arXiv preprint arXiv:2005.06374 (2020). <br>[13] Amiri, M. Binary Data Matrix Theory. Preprints.org 2016, 2016120049. https://doi.org/10.20944/preprints201612.0049.v2. <br>[14] Papoulis, Athanasios, and S. Unnikrishna Pillai. Probability, random variables, and stochastic processes. Tata McGraw-Hill Education, 2002. <br>[15] H. Goldstein, Classical mechanics: Pearson Education India, 1965 <br>[16] C. Castro, (2008). The Euclidean gravitational action as black hole entropy, singularities, and spacetime voids. Journal of Mathematical Physics, 49(4), 042501. <br>[17] Tatsumi, Yuki, Tomoaki Kaneko, and Riichiro Saito. "Conservation law of angular momentum in helicity-dependent Raman and Rayleigh scattering." 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A Physical Theory of Information vs. a Mathematical Theory of Communication