Multidimensional representation of semantic relations between physical theories, fundamental constants and units of measurement with formal concept analysis
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914931135217664 |
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| author | Espinosa-Aldama, Mariana Mendoza, Sergio |
| author_facet | Espinosa-Aldama, Mariana Mendoza, Sergio |
| contents | We propose several hierarchical graphs that represent the semantic relations between physical theories, their fundamental constants and units of measurement. We begin with an alternative representation of Zelmanov's cube of fundamental constants as a concept lattice. We then propose the inclusion of a new fundamental constant: Milgrom's critical acceleration and discuss the implications of such analysis. We then look for the same fundamental constants in a graph that relates magnitudes and units of measurement in the International System of Units. This exercise shows the potential of visualizing hierarchical networks as a tool to better comprehend the interrelations and dependencies of physical magnitudes, units and theories. New regimes of application may be deduced, as well as an interesting reflection on our ontologies and corresponding theoretical objects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15517 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multidimensional representation of semantic relations between physical theories, fundamental constants and units of measurement with formal concept analysis Espinosa-Aldama, Mariana Mendoza, Sergio Physics and Society General Relativity and Quantum Cosmology History and Philosophy of Physics We propose several hierarchical graphs that represent the semantic relations between physical theories, their fundamental constants and units of measurement. We begin with an alternative representation of Zelmanov's cube of fundamental constants as a concept lattice. We then propose the inclusion of a new fundamental constant: Milgrom's critical acceleration and discuss the implications of such analysis. We then look for the same fundamental constants in a graph that relates magnitudes and units of measurement in the International System of Units. This exercise shows the potential of visualizing hierarchical networks as a tool to better comprehend the interrelations and dependencies of physical magnitudes, units and theories. New regimes of application may be deduced, as well as an interesting reflection on our ontologies and corresponding theoretical objects. |
| title | Multidimensional representation of semantic relations between physical theories, fundamental constants and units of measurement with formal concept analysis |
| topic | Physics and Society General Relativity and Quantum Cosmology History and Philosophy of Physics |
| url | https://arxiv.org/abs/2406.15517 |