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Quantum dynamics of the Schwarzschild interior in Ashtekar-Barbero variables with minimal length effects

Takamasa Kanai*

  • *Contact author: kanai@kochi-ct.ac.jp
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Phys. Rev. D 114, 026008 – Published 6 July, 2026

DOI: https://doi.org/10.1103/5x3m-ntqh

Abstract

We study the quantum dynamics of the Schwarzschild interior in the Ashtekar-Barbero formulation, focusing on the fate of the classical singularity and the annihilation-to-nothing scenario. Using minisuperspace Wheeler-DeWitt quantization, we first analyze the standard Schrödinger representation and show that the annihilation-to-nothing behavior appears only for a specific choice of factor ordering and is not generic. We then introduce a generalized uncertainty principle (GUP), which induces minimal length effects through a deformation of the canonical algebra. Solving the modified Wheeler-DeWitt equation and constructing Gaussian wave packets localized at the horizon, we find that the annihilation-to-nothing behavior is suppressed once the GUP corrections are included. Our results indicate that minimal length effects qualitatively alter the quantum interior dynamics and challenge the robustness of this scenario as a mechanism for singularity resolution.

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Phys. Rev. D 114, 026008– Published 6 July, 2026
  • Received 16 March 2026
  • Accepted 8 June 2026
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