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arXiv · 2504.17911

Black Hole Information From Non-vacuum Localised Quantum States

Ali Akil·Riccardo Falcone·Nicetu Tibau Vidal·Giulio Chiribella
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Abstract

We revisit Hawking's black hole radiation derivation, including the quantum state of the initial matter forming the black hole. We investigate how non-vacuum initial quantum states, at the past of a black hole geometry, influence the black hole radiation observed at future null infinity $( \mathcal{I}^+)$. We further classify which of the initial state excitations are distinguishable from one another through measurements on the black hole radiation state. We use Algebraic Quantum Field Theory (AQFT) to provide a clear physical interpretation of the results, in terms of localised operations. We then take a concrete example of a black hole made of one large collapsing excitation of mass $M$ and compare it to a same-mass black hole formed due to the collapse of two smaller excitations, of mass $M/2$ each. We find using our formalism that the two cases yield different radiation states and can in principle be distinguished. Our results provide a mechanism for partial information recovery in evaporating black holes, classify what information is recoverable through stimulated emission, and a concrete understanding of the classification based on the AQFT localisation.

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Ali Akil, Riccardo Falcone, Nicetu Tibau Vidal, Giulio Chiribella. 2025-04-24. Black Hole Information From Non-vacuum Localised Quantum States. https://arxiv.org/abs/2504.17911

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