We propose a new model of the spherical symmetric quantum black hole in the reduced phase space formulation. We deparametrize gravity by coupling to the Gaussian dust which provides the material coordinates. The foliation by dust coordinates covers both the interior and exterior of the black hole. After the spherical symmetry reduction, our model is a 1 + 1 dimensional field theory containing infinitely many degrees of freedom. The effective dynamics of the quantum black hole is generated by an improved physical Hamiltonian
TransPlanckian Censorship and the Swampland
In this paper, we propose a new Swampland condition, the TransPlanckian Censorship Conjecture (TCC), based on the idea that in a consistent quantum theory of gravity subPlanckian quantum fluctuations should remain quantum and never become larger than the Hubble horizon and freeze in an expanding universe. Applied to the case of scalar fields, it leads to conditions that are similar to the refined dS Swampland conjecture. For large field ranges, TCC is stronger than the dS Swampland conjecture but it is weaker for small field ranges. In particular for asymptotic regions of field space, TCC leads to a bound V′≥2(d−1)(d−2)√V, which is consistent with all known cases in string theory. Like the dS Swampland conjecture, the TCC forbids longlived metastable dS spaces, but it does allow sufficiently shortlived ones.
 Award ID(s):
 1719924
 Publication Date:
 NSFPAR ID:
 10181831
 Journal Name:
 ArXivorg
 Page Range or eLocationID:
 1  35
 ISSN:
 23318422
 Sponsoring Org:
 National Science Foundation
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