In this review, recent progress on the black hole information problem that involves a new
understanding of how to calculate the entropy of Hawking radiation is described. The review …

We review recent progress on the information paradox. We explain why exponentially small
correlations in the radiation emitted by a black hole are sufficient to resolve the original …

A bstract Bulk quantum fields are often said to contribute to the generalized entropy\(\frac
{A}{4 {G} _N}+{S} _ {\mathrm {bulk}}\) only at O (1). Nonetheless, in the context of …

A bstract In the 1980's, work by Coleman and by Giddings and Strominger linked the physics
of spacetime wormholes to 'baby universes' and an ensemble of theories. We revisit such …

The emergence of statistical mechanics for isolated classical systems comes about through
chaotic dynamics and ergodicity. Here we review how similar questions can be answered in …

A bstract Quantum error correction has given us a natural language for the emergence of
spacetime, but the black hole interior poses a challenge for this framework: at late times the …

A bstract We consider the gravity dual of the modular Hamiltonian associated to a general
subregion of a boundary theory. We use it to argue that the relative entropy of nearby states …

A bstract In [1] we gave a precise holographic calculation of chaos at the scrambling time
scale. We studied the influence of a small perturbation, long in the past, on a two-sided …

A bstract In this note, following [1–3], we introduce and study various holographic systems
which can describe evaporating black holes. The systems we consider are boundary …

A bstract We study products of precursors of spatially local operators,\({W_x} _ {{}
_n}(tn)\cdot\cdot\cdot {W} _ {x_1}\left ({t} _1\right)\), where W x (t)= e− iHt W xe iHt. Using …