The quantum interest conjecture in (3+1)-dimensional Minkowski space

Details The quantum interest conjecture in (3+1)-dimensional Minkowski space The quantum interest conjecture in (3+1)-dimensional Minkowski space

2010-01-07

arxiv.org/abs/1001.1180v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages. Prepared for the proceedings of the 12th Marcel Grossmann conference. (Paris, July 2009.)

Scientific paper

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.

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