Variational Information Principles to Unveil Physical Laws
This article demonstrates that the application of the variation method to <i>purely</i> 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 physi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/24/3941 |
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| author | D. Bernal-Casas J. M. Oller |
| author_facet | D. Bernal-Casas J. M. Oller |
| author_sort | D. Bernal-Casas |
| collection | DOAJ |
| description | This article demonstrates that the application of the variation method to <i>purely</i> 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 <i>physical</i> expression of a more profound informational formalism, inspiring new avenues of research. |
| format | Article |
| id | doaj-art-1af67aa71b8e4dd9a8d0849289513f0c |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-1af67aa71b8e4dd9a8d0849289513f0c2024-12-27T14:38:05ZengMDPI AGMathematics2227-73902024-12-011224394110.3390/math12243941Variational Information Principles to Unveil Physical LawsD. Bernal-Casas0J. M. Oller1Department of Information and Communication Technologies, Universitat Pompeu Fabra, 08018 Barcelona, SpainDepartment of Genetics, Microbiology and Statistics, Faculty of Biology, Universitat de Barcelona, 08028 Barcelona, SpainThis article demonstrates that the application of the variation method to <i>purely</i> 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 <i>physical</i> expression of a more profound informational formalism, inspiring new avenues of research.https://www.mdpi.com/2227-7390/12/24/3941variational principlesSchrödinger’s equationprinciple of minimum <i>loss</i> Fisher’s informationquantum mechanicsinformation geometry |
| spellingShingle | D. Bernal-Casas J. M. Oller Variational Information Principles to Unveil Physical Laws Mathematics variational principles Schrödinger’s equation principle of minimum <i>loss</i> Fisher’s information quantum mechanics information geometry |
| title | Variational Information Principles to Unveil Physical Laws |
| title_full | Variational Information Principles to Unveil Physical Laws |
| title_fullStr | Variational Information Principles to Unveil Physical Laws |
| title_full_unstemmed | Variational Information Principles to Unveil Physical Laws |
| title_short | Variational Information Principles to Unveil Physical Laws |
| title_sort | variational information principles to unveil physical laws |
| topic | variational principles Schrödinger’s equation principle of minimum <i>loss</i> Fisher’s information quantum mechanics information geometry |
| url | https://www.mdpi.com/2227-7390/12/24/3941 |
| work_keys_str_mv | AT dbernalcasas variationalinformationprinciplestounveilphysicallaws AT jmoller variationalinformationprinciplestounveilphysicallaws |