Connection between Physical and Algebraic Evolution of a System
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| Formato: | Recurso digital |
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2026
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| _version_ | 1866901692728999936 |
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| author | Khodakovsky, Igor |
| author_facet | Khodakovsky, Igor |
| contents | <pre>In [4] the influence of taking into account the dimension of space on some equations of mathematical physics was considered. In the present work the inverse question is investigated: in what situations does the behavior of a physical system lead to a change in the dimension of the configuration space describing that system. Using the example of a chain of microscopic magnetic moments in an external field, it is shown that the alignment of the moments along a preferred direction lowers the dimension of the configuration space. Operations B- and A+ are introduced that count the lowering and raising of the dimension, respectively. A morphism is obtained that relates the evolution operator of the physical system to the derivative of the dimension modulus of the configuration space. </pre> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20151465 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Connection between Physical and Algebraic Evolution of a System Khodakovsky, Igor variable dimension configuration space strongly correlated system Khodakovsky algebra Levi-Civita symbol dimension modulus, functor realization, chain of magnetic moments, L <pre>In [4] the influence of taking into account the dimension of space on some equations of mathematical physics was considered. In the present work the inverse question is investigated: in what situations does the behavior of a physical system lead to a change in the dimension of the configuration space describing that system. Using the example of a chain of microscopic magnetic moments in an external field, it is shown that the alignment of the moments along a preferred direction lowers the dimension of the configuration space. Operations B- and A+ are introduced that count the lowering and raising of the dimension, respectively. A morphism is obtained that relates the evolution operator of the physical system to the derivative of the dimension modulus of the configuration space. </pre> <p> </p> |
| title | Connection between Physical and Algebraic Evolution of a System |
| topic | variable dimension configuration space strongly correlated system Khodakovsky algebra Levi-Civita symbol dimension modulus, functor realization, chain of magnetic moments, L |
| url | https://doi.org/10.5281/zenodo.20151465 |