Hawking radiation from black holes in 2+1 dimensions
TLDR
This paper models Hawking radiation in 2+1 dimensions by viewing black hole horizons as quantized lengths, deriving the black body spectrum.
Key contributions
- Develops a model for quantum geometry and Hawking radiation in 2+1 dimensions.
- Proposes black hole horizons are formed from quantized lengths of elementary quanta.
- Introduces a "length ensemble" to directly derive the black body spectrum.
- Shows Hawking spectrum temperature is modified by the Tolman factor for local observers.
Why it matters
This work offers a novel approach to understanding black hole thermodynamics and quantum gravity in lower dimensions. By proposing a quantized length model, it provides a direct derivation of the black body spectrum, advancing our theoretical understanding of Hawking radiation.
Original Abstract
The paper develops a model to understand the effective quantum geometry of a black hole horizon and the emission of Hawking spectrum in 2+1 dimensions. We argue that one may view the black hole horizon as formed out of quantised lengths of elementary quanta of value $8π\ell_{P}\, n$, where $n\in \mathbb{N}$, and $\ell_{P}$ is the Planck length. To an observer near the black hole horizon, the entropy (or length of horizon cross-section) is related to the black hole energy. Hence, one may develop a formulation of length ensemble (similar to the area canonical ensemble of Krasnov) from which the black body spectrum may be obtained directly. To this local observer, the temperature of the Hawking spectrum is modified due to the Tolman factor.
📬 Weekly AI Paper Digest
Get the top 10 AI/ML arXiv papers from the week — summarized, scored, and delivered to your inbox every Monday.