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| Format: | Recurso digital |
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| Veröffentlicht: |
Zenodo
2025
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| Online-Zugang: | https://doi.org/10.5281/zenodo.17905077 |
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Inhaltsangabe:
- <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>