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  • Letter

Third law of repetitive electric Penrose processes

Li Hu1,2,3,*, Rong-Gen Cai4,†, and Shao-Jiang Wang2,5,‡

  • *Contact author: huli21@mails.ucas.ac.cn
  • †Contact author: caironggen@nbu.edu.cn
  • ‡Contact author: schwang@itp.ac.cn

Phys. Rev. D 113, L061501 – Published 5 March, 2026

DOI: https://doi.org/10.1103/vlgc-y3qg

Abstract

Recently, Ruffini et al. [Phys. Rev. Lett. 134, 081403 (2025).] pointed out that the repetitive Penrose process cannot drain the entire extractable energy of a Kerr black hole. In this Letter, we alternatively point out the charge of a Reissner-Nordström black hole cannot drop down to exactly zero via the repetitive electric Penrose process that is terminated after a finite number of iterative steps, indicating a new thermodynamical third-law analog for the repetitive electric Penrose process.

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