Variational Information Principles to Unveil Physical Laws

D. Bernal-Casas () and J. M. Oller
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D. Bernal-Casas: Department of Information and Communication Technologies, Universitat Pompeu Fabra, 08018 Barcelona, Spain
J. M. Oller: Department of Genetics, Microbiology and Statistics, Faculty of Biology, Universitat de Barcelona, 08028 Barcelona, Spain

Mathematics, 2024, vol. 12, issue 24, 1-14

Abstract: This article demonstrates that the application of the variation method to purely information-theoretic models can lead to the discovery of fundamental equations in physics, such as Schrödinger’s equation. Our solution, expressed in terms of information parameters rather than physical quantities, suggests a profound implication—Schrödinger’s equation can be viewed as a unique physical expression of a more profound informational formalism, inspiring new avenues of research.

Keywords: variational principles; Schrödinger’s equation; principle of minimum loss Fisher’s information; quantum mechanics; information geometry (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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