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June 6, 2026International Journal of Modern Physics A

Wheeler–DeWitt Equation for Black Hole Interiors in Asymptotically Safe Gravity

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Authors

TKTakamasa Kanai

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Overview

This work analyzes how modified gravitational couplings affect black hole interiors, suggesting implications for quantum singularities.

Key Points

  • The aim is to explore the Wheeler–DeWitt equation with scale-dependent couplings in asymptotically safe gravity.
  • Analyzed the Wheeler–DeWitt equation using a renormalization-group–improved Einstein–Hilbert action.
  • Formulated a Hamiltonian description considering scale-dependent gravitational couplings.
  • Employing a minisuperspace framework to derive the Wheeler–DeWitt equation for black hole interiors.
  • The running of Newton’s constant does not affect the classical singularity structure.
  • The scale dependence of the cosmological constant influences certain classical dynamics aspects.
  • At the quantum level, running couplings induce potential suppression in the Wheeler–DeWitt equation near singularities.

Cite This Study

Takamasa Kanai (2026) studied this question.

synapsesocial.com/papers/6a23bc5171a5da9775e77ab4https://doi.org/10.1142/s0217751x26501289
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