Asymptotic safety of quantum gravity and improved spacetime of black hole singularity by cutoff identification

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The possibility of asymptotic safety scenario (asymptotic freedom) for quantum gravity has been pointed out in many contexts recently. From this point of view, we discuss some applications of cutoff identification to the black hole. If we consider the condition that the Newton coupling becomes weaker as approaching the origin, the curvature singularity still remains.
18 pages; added references and typos

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