Gauge-fixed LQG quantization of spherically symmetric gravity plus scalar matter reproduces the Dirac quantization results for vacuum black holes throughout the outer region.
The reason being that they consider the eigenvalue problem with vanishing Dirichlet conditions forn∈Z + and we considern∈Z
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Consistency of the LQG quantization of black holes coupled with scalar matter and a clock
Gauge-fixed LQG quantization of spherically symmetric gravity plus scalar matter reproduces the Dirac quantization results for vacuum black holes throughout the outer region.