Quantum interest for scalar fields in Minkowski spacetime

Abstract

The quantum interest conjecture of Ford and Roman states that any negative energy flux in a free quantum field must be preceded or followed by a positive flux of greater magnitude, and the surplus of positive energy grows the further the positive and negative fluxes are apart. In addition, the maximum possible separation between the positive and negative energy decreases the larger the amount of negative energy. We prove that the quantum interest conjecture holds for arbitrary fluxes of non-interacting scalar fields in 4D Minkowski spacetime, and discuss the consequences in attempting to violate the second law of thermodynamics using negative energy. We speculate that quantum interest may also hold for the Electromagnetic and Dirac fields, and might be applied to certain curved spacetimes.

14 pages, 5 figures; several references added, a few minor changes and a typo in Figure 3 corrected

References in corpus (7)

• The warp drive: hyper-fast travel within general relativity
• Bounds on negative energy densities in flat spacetime
• The Quantum Interest Conjecture
• Scalar Field Quantum Inequalities in Static Spacetimes
• Bounds on negative energy densities in static space-times
• Quantum Inequality Restrictions on Negative Energy Densities in Curved Spacetimes
• Negative Energy Density States for the Dirac Field in Flat Spacetime

Cited by in corpus (8)

• Energy conditions in general relativity and quantum field theory
• Constraints on Spatial distributions of Negative Energy
• Quantum Inequalities in Curved Two Dimensional Spacetimes
• Quantum inequalities and `quantum interest' as eigenvalue problems
• Quantum Interest in (3+1) dimensional Minkowski space
• Quantum interest in two dimensions
• Quantum Flux from a Moving Spherical Mirror
• A counter-example to the quantum interest conjecture