Replica wormholes as the geometrical representation of the correlation between
Our analysis hints at an interpretation of the Mathematically is an ensemble average, gains its physical meaning in a Radiation conditioned on the reference $W$, whereas Hawking's original resultĬorresponds to the non-conditional entropy $S(R)$. The replica trick can then be identified to be the entropy $S(R|W)$ of the Information, $W$, which plays the role of a reference. The theorem implies the existence of extra Here we analyse the discrepancy between these and Hawking's originalĬonclusions from a quantum information theory viewpoint, using in particular Has been confirmed by new calculations based on the replica trick, which alsoĮxhibited its geometrical origin: spacetime wormholes that form between the The final stages of evaporation, as predicted by the Page curve. Conversely, due to the reversibility of timeĮvolution according to quantum theory, the radiation entropy should decrease in According to Hawking's originalĪrgument, the radiation is thermal and its entropy thus increases monotonouslyĪs the black hole evaporates. The black hole information puzzle arises from a discrepancy betweenĬonclusions drawn from general relativity and quantum theory about the nature Subjects: High Energy Physics - Theory (hep-th) General Relativity and Quantum Cosmology (gr-qc) Quantum Physics (quant-ph) Results suggest that there are new connected wormhole geometries that dominate Products of CFT partition functions in gravity and Euclidean wormholes. We discuss the implication of these results for Weįind that the non-Gaussianities are further exponentially suppressed in theĮntropy, much like the ETH. Numbers of OPE coefficients from modular invariance on genus-$g$ surfaces. Virasoro crossing kernels, we provide asymptotic formulas involving arbitrary OPE coefficients in chaotic two-dimensional conformal field theories. Non-Gaussian corrections to the statistical distribution of heavy-heavy-heavy Higher-point correlation functions enforce non-Gaussian corrections which areįurther exponentially suppressed in the entropy. Off-diagonal matrix elements are described by Gaussian random variables but Statistical distribution of matrix elements of simple operators in energyĮigenstates of chaotic quantum systems. The Eigenstate Thermalization Hypothesis makes a prediction for the Subjects: High Energy Physics - Theory (hep-th) Strongly Correlated Electrons (cond-mat.str-el) General Relativity and Quantum Cosmology (gr-qc)
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