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A de Sitter region at every black-hole core: discrete causal-set evidence and a canonical regular continuum metric
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{Anselmi2018} arXiv:1801.00915 arxiv high confidence {Anselmi2019} arXiv:1901.09273 arxiv high confidence {Alfyorov2026} 10.13140/RG.2.2.11351.02724 doi high confidence (Hayward, 2006) unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference. {Hayward2006} arXiv:gr-qc/0506126 arxiv high confidence {Bardeen68} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference. {Dymnikova92} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference. (Modesto, 2011) unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference. {Modesto2011} arXiv:1107.2403 arxiv high confidence {KMM2018} arXiv:1803.00309 arxiv high confidence {BKLMM2018} arXiv:1804.08195 arxiv high confidence {BMP2023} arXiv:2308.10890 arxiv high confidence {HCM2025} arXiv:2502.16787 arxiv high confidence {Carballo2022} arXiv:2101.05006 arxiv high confidence {ModelNT4a} 10.13140/RG.2.2.15315.95520 doi high confidence {Maeda2022} arXiv:2107.04791 arxiv high confidence {HawkingPenrose1970} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference. {Penrose1965} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference. {ModelLT3d} 10.22541/au.177524450.03515205/v1 doi high confidence {Frolov2016} arXiv:1609.01758 arxiv high confidence {Borde1997} arXiv:gr-qc/9612057 arxiv high confidence {Bertotti2003} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference. {Ori1991} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference. {CarballoExtremal} arXiv:2205.13556 arxiv high confidence {BLMS1987} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference. {Sorkin2003} arXiv:gr-qc/0309009 arxiv high confidence {BD2010} arXiv:1001.2725 arxiv high confidence [1] unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference. Add the human verification attestation for mathematical claims.
Untitled section medium confidence \(\varepsilon_r = 10^{-2} M\) Untitled section medium confidence \(N^{1.04\pm 0.02}\) Untitled section medium confidence \(\max/\mathrm{mean}\) Untitled section medium confidence \(\approx 8.4\) Untitled section medium confidence \(\varepsilon_r\) Untitled section medium confidence \(\approx 3.3\) Untitled section medium confidence \(L_{\rm dS} = 1/m_{2,\,{\rm pole}}\) Untitled section medium confidence \(m_{2,\,{\rm pole}} = \Lambda\sqrt{z_1}\) Untitled section medium confidence We prove that (i) the Kretschmann invariant equals \(96 M^2/l_{\rm can}^6\) at the centre and is bounded throughout, (ii) the null energy condition is respected globally (radial NEC marginally as \(\rho+p_r\equiv 0\), t... Untitled section medium confidence The outstanding question-common to every two-horizon regular black hole at the continuum level-is the classical-perturbative inner-Cauchy-horizon mass-inflation instability; we numerically verify the canonical Ori e-fol... Untitled section medium confidence Overall, the work provides a consistent framework in which black hole singularities are replaced by regular, de Sitter-like cores, both at a fundamental discrete level and in the effective continuum theory. **Problem st... Require a human verification attestation.
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