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arXiv · 2406.10644

The solution to the Black Hole information paradox

Ivan Arraut
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Abstract

The information paradox suggests that the black hole loses information when it emits radiation. In this way, the spectrum of radiation corresponds to a mixed (non-pure) quantum state even if the internal state generating the black-hole is expected to be pure in essence. In this paper we propose an argument solving this paradox by understanding the process of spontaneous symmetry breaking when the black-hole selects one among the many possible ground states, emitting then radiation as a consequence of it. Here the particle operator number is the order parameter. This mechanism explains the connection between the density matrix corresponding to the pure state describing the black-hole state and the density matrix describing the spectrum of radiation (mixed quantum state). From this perspective, we can recover the black-hole information from the superposition principle applied to the different possible order parameters (particle number operators).

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Ivan Arraut. 2024-06-15. The solution to the Black Hole information paradox. https://doi.org/10.3390/appliedmath5010004

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