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Daemon sub Ponte: The Cost of a Second Black Hole (A Scholium on an ER=EPR Thought Experiment)

  • Yen Chin Ong
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Abstract

A thought experiment in the ER=EPR and related literature involves collecting the Hawking radiation of an old black hole, then collapsing it into a second, entangled black hole. In this short note, we examine the resources required by this idealized conversion. More specifically, we are interested in answering the question: how much external energy is needed to form the second black hole? Assuming a semiclassical bound on the information capacity of the newly formed black hole, we derive a conditional lower bound on external energy and a complementary constraint on correlations retained by the exterior degrees of freedom. We also distinguish entropy-level feasibility from the requirements for exact and approximate purification. We illustrate these requirements via a Page curve analysis.

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Cite

BibTeXRIS
BibTeX
@misc{ong2026daemon,
  title = {{Daemon sub Ponte: The Cost of a Second Black Hole (A Scholium on an ER=EPR Thought Experiment)}},
  author = {Yen Chin Ong},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01194},
  eprint = {2611.01194},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01194},
}
RIS
TY  - UNPB
TI  - Daemon sub Ponte: The Cost of a Second Black Hole (A Scholium on an ER=EPR Thought Experiment)
AU  - Yen Chin Ong
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01194
UR  - https://arxiv.org/abs/2611.01194
AB  - A thought experiment in the ER=EPR and related literature involves collecting the Hawking radiation of an old black hole, then collapsing it into a second, entangled black hole. In this short note, we examine the resources required by this idealized conversion. More specifically, we are interested in answering the question: how much external energy is needed to form the second black hole? Assuming a semiclassical bound on the information capacity of the newly formed black hole, we derive a conditional lower bound on external energy and a complementary constraint on correlations retained by the exterior degrees of freedom. We also distinguish entropy-level feasibility from the requirements for exact and approximate purification. We illustrate these requirements via a Page curve analysis.
ER  -