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arXiv · 2603.10297

Quantum Dynamics of the Schwarzschild Interior in Ashtekar-Barbero Variables with Minimal Length Effects

Takamasa Kanai
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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 Schr\"odinger 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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Takamasa Kanai. 2026-03-11. Quantum Dynamics of the Schwarzschild Interior in Ashtekar-Barbero Variables with Minimal Length Effects. https://arxiv.org/abs/2603.10297

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