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2025
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| Online Access: | https://doi.org/10.5281/zenodo.17763235 |
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| _version_ | 1866901774616494080 |
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| author | Soares Pinto, Pedro Filipe |
| author_facet | Soares Pinto, Pedro Filipe |
| contents | <p>We propose a geometric mechanism—<strong><em>dimensional locking</em></strong>—in which baryonic matter locally stabilizes the compact extra dimension in a 5D Kaluza--Klein theory. Vacuum regions, lacking this stabilizing effect, allow for geometric relaxation, producing an effective scalar degree of freedom in 4D. We show that the resulting effective dynamics maps onto a chameleon-type screened scalar field, providing a geometric interpretation of thin shells and environment-dependent masses. Using the non-linear boundary-value solvers developed in a companion technical article, we show that dimensional unlocking in laboratory vacua leads to fifth-force accelerations of order <span>$10^{-10}$</span>–<span>$10^{-9}\,\mathrm{m/s^2}$</span> in centimeter-scale chambers. The mechanism is intrinsically falsifiable and compatible with precision atom-interferometric searches.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17763235 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Matter-Induced Dimensional Locking: A Geometric Origin for Chameleon Screening in 5D Kaluza–Klein Theory Soares Pinto, Pedro Filipe <p>We propose a geometric mechanism—<strong><em>dimensional locking</em></strong>—in which baryonic matter locally stabilizes the compact extra dimension in a 5D Kaluza--Klein theory. Vacuum regions, lacking this stabilizing effect, allow for geometric relaxation, producing an effective scalar degree of freedom in 4D. We show that the resulting effective dynamics maps onto a chameleon-type screened scalar field, providing a geometric interpretation of thin shells and environment-dependent masses. Using the non-linear boundary-value solvers developed in a companion technical article, we show that dimensional unlocking in laboratory vacua leads to fifth-force accelerations of order <span>$10^{-10}$</span>–<span>$10^{-9}\,\mathrm{m/s^2}$</span> in centimeter-scale chambers. The mechanism is intrinsically falsifiable and compatible with precision atom-interferometric searches.</p> |
| title | Matter-Induced Dimensional Locking: A Geometric Origin for Chameleon Screening in 5D Kaluza–Klein Theory |
| url | https://doi.org/10.5281/zenodo.17763235 |