Systems with Quantum Dimensions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912824561762304 |
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| author | Myszkowski, Mikołaj Paciarini, Mattia Damia Sannino, Francesco |
| author_facet | Myszkowski, Mikołaj Paciarini, Mattia Damia Sannino, Francesco |
| contents | We propose quantum-mechanical systems in which the number of spatial dimensions is promoted to a dynamical quantum variable, making the effective dimension state-dependent. Interestingly, systems of this form can exhibit enhanced symmetries compared to their fixed-dimensional counterparts. As an explicit example, we analyze a two-state system for which the number of spatial dimensions is represented by a quantum operator. By evaluating the corresponding partition function, we uncover a temperature-dependent effective dimension. Our framework opens a new avenue for constructing physical systems, from gravity to condensed matter, where the very notion of dimensionality becomes quantum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14547 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Systems with Quantum Dimensions Myszkowski, Mikołaj Paciarini, Mattia Damia Sannino, Francesco Quantum Physics Other Condensed Matter High Energy Physics - Phenomenology High Energy Physics - Theory We propose quantum-mechanical systems in which the number of spatial dimensions is promoted to a dynamical quantum variable, making the effective dimension state-dependent. Interestingly, systems of this form can exhibit enhanced symmetries compared to their fixed-dimensional counterparts. As an explicit example, we analyze a two-state system for which the number of spatial dimensions is represented by a quantum operator. By evaluating the corresponding partition function, we uncover a temperature-dependent effective dimension. Our framework opens a new avenue for constructing physical systems, from gravity to condensed matter, where the very notion of dimensionality becomes quantum. |
| title | Systems with Quantum Dimensions |
| topic | Quantum Physics Other Condensed Matter High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.14547 |