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It is well known that the energy density of a quantum state can be negative. It has been shown that there are limits on this negative energy density which are called the quantum inequalities. In this paper we will demonstrate an example of…

Quantum Physics · Physics 2011-08-19 Dan Solomon

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 Physics · Physics 2010-12-10 Dan Solomon

Although quantum field theory allows local negative energy densities and fluxes, it also places severe restrictions upon the magnitude and extent of the negative energy. The restrictions take the form of quantum inequalities. These…

General Relativity and Quantum Cosmology · Physics 2016-08-25 L. H. Ford , Thomas A. Roman

In quantum field theory it is generally known that the energy density may be negative at a given point in spacetime. A number of papers have shown that there is a restriction on this energy density which is called a quantum inequality (QI).…

Quantum Physics · Physics 2009-01-20 Dan Solomon

There has been much recent work on quantum inequalities to constrain negative energy. These are uncertainty principle-type restrictions on the magnitude and duration of negative energy densities or fluxes. We consider several examples of…

General Relativity and Quantum Cosmology · Physics 2016-08-25 L. H. Ford , Michael J. Pfenning , Thomas A. Roman

Quantum inequalities are bounds on negative time-averages of the energy density of a quantum field. They can be used to rule out exotic spacetimes in general relativity. We study quantum inequalities for a scalar field with a background…

General Relativity and Quantum Cosmology · Physics 2014-07-16 Eleni-Alexandra Kontou , Ken D. Olum

In classical physics the energy density of a field is always positive. However this does not hold true for quantum physics where the energy density of a field can be locally negative. There are limits on the weighted average of this…

Quantum Physics · Physics 2011-03-15 Dan Solomon

We study a phenomenon occuring in various areas of quantum physics, in which an observable density (such as an energy density) which is classically pointwise nonnegative may assume arbitrarily negative expectation values after quantisation,…

Mathematical Physics · Physics 2007-05-23 Simon P. Eveson , Christopher J. Fewster , Rainer Verch

In quantum field theory there exist states for which the energy density is negative. It is important that these negative energy densities satisfy constraints, such as quantum inequalities, to minimize possible violations of causality, the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dan N. Vollick

In quantum field theory, there exist states in which the expectation value of the energy density for a quantized field is negative. These negative energy densities lead to many problems. Although quantum field theory introduces negative…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael John Pfenning , L. H. Ford

A `quantum inequality' (a conjectured relation between the energy density of a free quantum field and the time during which this density is observed) has recently been used to rule out some of the macroscopic wormholes and warp drives. I…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Krasnikov

According to the quantum interest conjecture any negative energy pulse must be associated with a positive energy pulse of greater magnitude than that of the negative energy pulse. In this paper we will demonstrate a counter-example to this…

Quantum Physics · Physics 2012-06-26 Dan Solomon

In a previous paper, a bound on the negative energy density seen by an arbitrary inertial observer was derived for the free massless, quantized scalar field in four-dimensional Minkowski spacetime. This constraint has the form of an…

General Relativity and Quantum Cosmology · Physics 2009-10-28 L. H. Ford , Thomas A. Roman

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…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Gabriel Abreu , Matt Visser

Negative energy density is unavoidable in the quantum theory of field. We give a revised proof of the existence of negative energy density unambiguously for a massless scalar field.

General Relativity and Quantum Cosmology · Physics 2008-02-03 Chung-I Kuo

Certain exotic phenomena in general relativity, such as backward time travel, appear to require the presence of matter with negative energy. While quantum fields are a possible source of negative energy densities, there are lower bounds -…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Christopher J. Fewster , Edward Teo

We construct a particular class of quantum states for a massless, minimally coupled free scalar field which are of the form of a superposition of the vacuum and multi-mode two-particle states. These states can exhibit local negative energy…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. H. Ford , Adam D. Helfer , Thomas A. Roman

Quantum field theory allows for the suppression of vacuum fluctuations, leading to sub-vacuum phenomena. One of these is the appearance of local negative energy density. Selected aspects of negative energy will be reviewed, including the…

Quantum Physics · Physics 2010-05-25 L. H. Ford

Quantum inequalities bound the extent to which weighted time averages of the renormalized energy density of a quantum field can be negative. They have mostly been proved in flat spacetime, but we need curved-spacetime inequalities to…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Eleni-Alexandra Kontou , Ken D. Olum

We show that a system of a domain wall coupled to a scalar field has static negative energy density at certain distances from the domain wall. This system provides a simple, explicit example of violation of the averaged weak energy…

General Relativity and Quantum Cosmology · Physics 2010-04-05 Ken D. Olum , Noah Graham
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