Quantized ingoing and outgoing null expansion operators in spherically symmetric LQG are self-adjoint with a shared continuous spectrum but differing isolated eigenvalues.
Detailed black hole state counting in loop quantum gravity.Phys- ical Review D—Particles, Fields, Gravitation, and Cos- mology, 82(8):084029
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Expansion operators in spherically symmetric loop quantum gravity
Quantized ingoing and outgoing null expansion operators in spherically symmetric LQG are self-adjoint with a shared continuous spectrum but differing isolated eigenvalues.