Quantum Interest in (3+1) dimensional Minkowski space

Details Quantum Interest in (3+1) dimensional Minkowski space Quantum Interest in (3+1) dimensional Minkowski space

2008-08-14

arxiv.org/abs/0808.1931v2

Physical Review D 79 (2009) 065004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

V1: 8 pages, revtex4; V2: 10 pages, some technical changes in details of the argument, no change in physics conclusions, this

Scientific paper

10.1103/PhysRevD.79.065004

The so-called "Quantum Inequalities", and the "Quantum Interest Conjecture", use quantum field theory to impose significant restrictions on the temporal distribution of the energy density measured by a time-like observer, potentially preventing the existence of exotic phenomena such as "Alcubierre warp-drives" or "traversable wormholes". Both the quantum inequalities and the quantum interest conjecture can be reduced to statements concerning the existence or non-existence of bound states for a certain one-dimensional quantum mechanical pseudo-Hamiltonian. Using this approach, we shall provide a simple proof of one version of the Quantum Interest Conjecture in (3+1) dimensional Minkowski space.

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