We derive an explicit expression for the transition amplitude from black to white hole horizon at the end of Hawking evaporation using covariant loop quantum gravity.
DOI:https://doi.org/10.1103/PhysRevD.104.066015
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The region in the time-radius space: each point of the diagram is a two-sphere.
Reuse & PermissionsGraphical representation of the product of the local vertex amplitudes entering the two-complex spin-intertwiner transition amplitude in Eq. (10).
Reuse & PermissionsThe boundary graph [26] of the interior five-valent vertices (left) and of the six-valent vertices (right) in the symmetry reduced model.
Reuse & PermissionsElements of the triangulation of seen as embedded objects in the four-dimensional spacetime.
Reuse & PermissionsThe triangulation of (not ) seen as a topological three-dimensional object. Each subfigure has different elements highlighted: in (a) the triangles are highlighted; in (b) the four tetrahedra are highlighted; in (c) three tetrahedra out of four are highlighted; in (d) three tetrahedra out of six are highlighted; in (e) the remaining three tetrahedra are highlighted; in (f) two tetrahedra , two tetrahedra and two tetrahedra are highlighted.
Reuse & PermissionsTwo-dimensional representation of the graph dual to the triangulation of .
Reuse & PermissionsTwo-dimensional representation of the internal component of the two-complex.
Reuse & PermissionsThree-dimensional representation of the graph dual to the triangulation of ; each node is represented as a sphere colored consistently with its dual tetrahedron in Fig. 5.
Reuse & PermissionsTwo-dimensional representation of the past component of the graph dual to the triangulation of .
Reuse & PermissionsThree-dimensional representation of the one-skeleton of the two-complex ; notice that although the internal vertices and the boundary nodes are graphically depicted in the same way, they are two very distinct objects (the same applies also to edges and links).
Reuse & PermissionsGraphical representation of the boundary faces (in red) , , , and (in brown) , , , .
Reuse & PermissionsGraphical representation of the internal faces , [in (a)] and , [in (b)].
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