Gauge-fixed LQG quantization of spherically symmetric gravity plus scalar matter reproduces the Dirac quantization results for vacuum black holes throughout the outer region.
However, under the same approximations used to do computations in the WKB formalism, we have exact solutions to the eigenvalue equation providedy=n/n + >>1/n +
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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.