The limits of mathematics in physics
Mathematics is considered the language of physics. Starting from idealizations and kinematics, geometric-mathematical physics with paradigms such as flexible spacetime and dark energy has emerged whose physical reality has not been clarified. By analyzing processes regarding their causes and the fun...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2024-11-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0237600 |
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| _version_ | 1846141128630337536 |
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| author | Grit Kalies Duong D. Do |
| author_facet | Grit Kalies Duong D. Do |
| author_sort | Grit Kalies |
| collection | DOAJ |
| description | Mathematics is considered the language of physics. Starting from idealizations and kinematics, geometric-mathematical physics with paradigms such as flexible spacetime and dark energy has emerged whose physical reality has not been clarified. By analyzing processes regarding their causes and the functional dependencies of energies, this work identifies shortcomings in the basic energy concepts of physics, which cannot be remedied with mathematics. While formal transformations of process equations such as integration are mathematically correct, they do conceal vital physical information, suggesting that mathematics should be used with caution. We propose a physically justified approach that reconciles the mechanical and thermodynamic energy concepts and provides a revised interpretation of E = mc2. Our results suggest that geometric approaches were built too early on a shaky physical foundation, leading to undesirable developments in recent centuries. The language of physics should be physics, not just mathematics. |
| format | Article |
| id | doaj-art-375ce4b90f3e48f3a5342e131e57c54b |
| institution | Kabale University |
| issn | 2158-3226 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj-art-375ce4b90f3e48f3a5342e131e57c54b2024-12-04T16:59:17ZengAIP Publishing LLCAIP Advances2158-32262024-11-011411115225115225-1610.1063/5.0237600The limits of mathematics in physicsGrit Kalies0Duong D. Do1HTW University of Applied Sciences Dresden, 01069 Dresden, GermanyThe University of Queensland QLD, 4072 Brisbane, AustraliaMathematics is considered the language of physics. Starting from idealizations and kinematics, geometric-mathematical physics with paradigms such as flexible spacetime and dark energy has emerged whose physical reality has not been clarified. By analyzing processes regarding their causes and the functional dependencies of energies, this work identifies shortcomings in the basic energy concepts of physics, which cannot be remedied with mathematics. While formal transformations of process equations such as integration are mathematically correct, they do conceal vital physical information, suggesting that mathematics should be used with caution. We propose a physically justified approach that reconciles the mechanical and thermodynamic energy concepts and provides a revised interpretation of E = mc2. Our results suggest that geometric approaches were built too early on a shaky physical foundation, leading to undesirable developments in recent centuries. The language of physics should be physics, not just mathematics.http://dx.doi.org/10.1063/5.0237600 |
| spellingShingle | Grit Kalies Duong D. Do The limits of mathematics in physics AIP Advances |
| title | The limits of mathematics in physics |
| title_full | The limits of mathematics in physics |
| title_fullStr | The limits of mathematics in physics |
| title_full_unstemmed | The limits of mathematics in physics |
| title_short | The limits of mathematics in physics |
| title_sort | limits of mathematics in physics |
| url | http://dx.doi.org/10.1063/5.0237600 |
| work_keys_str_mv | AT gritkalies thelimitsofmathematicsinphysics AT duongddo thelimitsofmathematicsinphysics AT gritkalies limitsofmathematicsinphysics AT duongddo limitsofmathematicsinphysics |