The quantum interest conjecture in (3+1)-dimensional Minkowski space
General Relativity and Quantum Cosmology
2010-01-11 v1
Abstract
The quantum inequalities, and the closely related quantum interest conjecture, impose restrictions on the distribution of the energy density measured by any time-like observer, potentially preventing the existence of exotic phenomena such as Alcubierre warp-drives or traversable wormholes. It has already been proved that both assertions can be reduced to statements concerning the existence or non-existence of bound states of a certain 1-dimensional quantum mechanical Hamiltonian. Using this approach, we will informally review a simple variational proof of one version of the Quantum Interest conjecture in (3+1)-dimensional Minkowski space.
Cite
@article{arxiv.1001.1180,
title = {The quantum interest conjecture in (3+1)-dimensional Minkowski space},
author = {Gabriel Abreu and Matt Visser},
journal= {arXiv preprint arXiv:1001.1180},
year = {2010}
}
Comments
3 pages. Prepared for the proceedings of the 12th Marcel Grossmann conference. (Paris, July 2009.)