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Deidealizing Goldstone‑boson responses to the trans‑Planckian problem

Determine whether Goldstone‑boson models proposed as responses to the trans‑Planckian problem in Hawking radiation can be deidealized beyond stationary spacetimes so as to apply to non‑stationary, evaporating black hole spacetimes.

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Background

Citing prior work, the paper notes that a class of models addressing the trans‑Planckian problem—those that model Hawking radiation as Goldstone bosons—have only been developed in stationary spacetimes.

Extending these models to non‑stationary, evaporating contexts is identified as an important open question relevant to deidealizing derivations of Hawking radiation.

References

Earman's principle has also been applied to Hawking radiation by \citeA{Gryb2019-GRYOTU}, in which the authors note that the response to the trans-Planckian problem which models Hawking radiation as Goldstone bosons has only been carried out in stationary spacetimes, and it is an important open question whether these models can be deidealized.

The Black Hole Idealization Paradox (2404.10028 - Ryder, 15 Apr 2024) in Section 1, Introduction (footnote)