A violation of the spatial quantum inequality

Abstract

In classical physics the energy density of a field, such as the electromagnetic field, is always positive. However, in quantum field theory it has been shown that the energy density can be negative. There are restrictions, called the quantum inequalities, on the amount of negative energy that can exist in some region of space and time. In this paper we will focus on the spatial quantum inequality as it applies to a massless scalar field in 1-1 dimensional space-time. The spatial quantum inequality is a restriction on the amount of negative energy that can exist in a region of space at a given time. It will be shown that we can specify a quantum state which violates the spatial quantum inequality.

arXiv comment20 pages

References in corpus (5)

• Restrictions on Negative Energy Density in Flat Spacetime
• Quantum inequalities in two dimensional Minkowski spacetime
• Bounds on negative energy densities in flat spacetime
• An example of a violation of the spatial quantum inequality with a comment on the quantum interest conjecture
• An example of a violation of the quantum inequalities for a massless scalar field in 1-1 dimensional space-time