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2025
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| Acceso en línea: | https://doi.org/10.5281/zenodo.17905077 |
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| _version_ | 1866901227066884096 |
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| author | Özbay, Oğuzhan |
| author_facet | Özbay, Oğuzhan |
| contents | <p>We present a four–dimensional effective theory of gravity in which quantum corrections are encoded in a scalar radion field descending from a compact extra dimension, and in a Bach–Weyl conformal term. The key prediction is an effective running of the Planck constant, ℏ ( , 2)=ℏ(1+ ( ) 2), which becomes significant only at large curvature (near black-hole interiors or early-universe conditions) while remaining indistinguishable from constant-ℏ physics in all laboratory environments. Dimensional reduction enforces a specific exponential radion coupling ( )= 0 −4 , arising from the conformal weight of the 5D Weyl tensor. Matter fields confined to the brane couple to only via graviton-mediated operators suppressed by 5−3, ensuring compatibility with fifth-force constraints. The theory predicts a critical length scale ≲50 , interpreted strictly as an upper bound, consistent with current (2024–2025) short-range gravity limits. Interior black-hole solutions exhibit a smooth “quantum core’’ where the Bach term dominates, potentially producing detectable deviations in ringdown spectra. We discuss testable predictions for LIGO/LISA, sub-mm gravity experiments, and cosmological anisotropies.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17905077 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Emergent Quantization from Five-Dimensional Radion Dynamics Özbay, Oğuzhan <p>We present a four–dimensional effective theory of gravity in which quantum corrections are encoded in a scalar radion field descending from a compact extra dimension, and in a Bach–Weyl conformal term. The key prediction is an effective running of the Planck constant, ℏ ( , 2)=ℏ(1+ ( ) 2), which becomes significant only at large curvature (near black-hole interiors or early-universe conditions) while remaining indistinguishable from constant-ℏ physics in all laboratory environments. Dimensional reduction enforces a specific exponential radion coupling ( )= 0 −4 , arising from the conformal weight of the 5D Weyl tensor. Matter fields confined to the brane couple to only via graviton-mediated operators suppressed by 5−3, ensuring compatibility with fifth-force constraints. The theory predicts a critical length scale ≲50 , interpreted strictly as an upper bound, consistent with current (2024–2025) short-range gravity limits. Interior black-hole solutions exhibit a smooth “quantum core’’ where the Bach term dominates, potentially producing detectable deviations in ringdown spectra. We discuss testable predictions for LIGO/LISA, sub-mm gravity experiments, and cosmological anisotropies.</p> |
| title | Emergent Quantization from Five-Dimensional Radion Dynamics |
| url | https://doi.org/10.5281/zenodo.17905077 |