Black holes are one-dimensional
Abstract
The holographic principle has revealed that physical systems in 3-D space, black holes included, are basically two-dimensional as far as their information content is concerned. This conclusion is complemented by one sketched here: as far as entropy or information flow is concerned, a black hole behaves as a one-dimensional channel. We define a channel in flat spacetime in thermodynamic terms, and contrast it with common entropy emitting systems. A black hole is more like the former: its entropy output is related to the emitted power as it would be for a one-dimensional channel, and disposal of an information stream down a black hole is limited by the power invested in the same way as for a one-dimensional channel.
Cite
@article{arxiv.gr-qc/0105055,
title = {Black holes are one-dimensional},
author = {Jacob D. Bekenstein and Avraham E. Mayo},
journal= {arXiv preprint arXiv:gr-qc/0105055},
year = {2015}
}
Comments
5 pages, REVTEX, This essay received Second Award in the Annual Essay Competition of the Gravity Research Foundation for the year 2001