dorsal/arxiv
View SchemaCondensation of area quanta ensembles with quantum statistics in Schwarzschild spacetimes
| Authors | Ryley McGovern, Seth Major, Trevor Scheuing, Thomas Takis |
|---|---|
| Categories | |
| ArXiv ID | 2601.08788vv1 |
| URL | https://arxiv.org/abs/2601.08788 |
| License | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
Abstract
As is well known, near-horizon (equivalently high acceleration) observers in spherically symmetric black hole spacetimes have a particularly simple form of the quasi-local energy. Using this energy and indistinguishable area quanta satisfying quantum statistics a statistical mechanical description of the Schwarzschild black hole geometry for uniformly accelerating observers is developed. The resulting model has several phases including one with highly excited states, Bose-Einstein condensates, condensates distinct from the usual Bose gas, and degenerate Fermi gases. In the large area limit, relevant for comparison to the Bekenstein-Hawking entropy, the new condensed state is favored over Bose-Einstein condensation and the degenerate Fermi gas. The entropies of the phases, and the entropy of mixing, are computed. The resulting low-entropic condensed state, where the quanta are essentially all in the lowest Bose energy state, provides the framework for the quantization of near-horizon geometric fluctuations, which is explored in a companion paper.
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"abstract": "As is well known, near-horizon (equivalently high acceleration) observers in spherically symmetric black hole spacetimes have a particularly simple form of the quasi-local energy. Using this energy and indistinguishable area quanta satisfying quantum statistics a statistical mechanical description of the Schwarzschild black hole geometry for uniformly accelerating observers is developed. The resulting model has several phases including one with highly excited states, Bose-Einstein condensates, condensates distinct from the usual Bose gas, and degenerate Fermi gases. In the large area limit, relevant for comparison to the Bekenstein-Hawking entropy, the new condensed state is favored over Bose-Einstein condensation and the degenerate Fermi gas. The entropies of the phases, and the entropy of mixing, are computed. The resulting low-entropic condensed state, where the quanta are essentially all in the lowest Bose energy state, provides the framework for the quantization of near-horizon geometric fluctuations, which is explored in a companion paper.",
"arxiv_id": "2601.08788",
"authors": [
"Ryley McGovern",
"Seth Major",
"Trevor Scheuing",
"Thomas Takis"
],
"categories": [
"gr-qc"
],
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
"title": "Condensation of area quanta ensembles with quantum statistics in Schwarzschild spacetimes",
"url": "https://arxiv.org/abs/2601.08788",
"version": "v1"
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