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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 light reflectance and absorbance are calculated for a quantum well (QW) the width of which is comparable with the light wave length. The difference of the refraction coefficients of the quantum well and barriers is taken into account.…

Mesoscale and Nanoscale Physics · Physics 2010-02-10 I. G. Lang , S. T. Pavlov

The Casimir effect realizes the existence of static negative energy densities in quantum field theory. We establish physically reasonable conditions for the non-negativity of the total mass of a Casimir apparatus held in equilibrium in the…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Bruno Arderucio Costa , George E. A. Matsas

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

We calculate the vacuum (Casimir) energy for a scalar field with $\phi^4$ self-interaction in (1+1) dimensions non perturbatively, i.e., in all orders of the self-interaction. We consider massive and massless fields in a finite box with…

High Energy Physics - Theory · Physics 2021-02-15 M. Bordag

We investigate two simplified non-singular cyclic models with a negative time-varying cosmological constant to represent the non-conventional mechanism of negative cosmological constant expected to address the late-time cosmic acceleration.…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Nasr Ahmed , Kazuharu Bamba

A U(1) gauge theory turns, on physically motivated models of Quantum Spacetime, into a U($\infty$) gauge theory, hence free classical electrodynamics is no longer free and neutral fields may have electromagnetic interactions. We discuss the…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Sergio Doplicher , Klaus Fredenhagen , Gerardo Morsella , Nicola Pinamonti

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

We study the phenomenon of mass loss by a scalar charge -- a point particle which acts as a source for a (non-interacting) scalar field -- in (1+1)-dimensional and (2+1)-dimensional flat spacetime. We find that such particles are unstable…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

By replacing the field of complex numbers with the commutative ring of bicomplex numbers, we attempt to construct interacting scalar quantum field theories that feature both positive- and negative-energy states. This work places the…

High Energy Physics - Theory · Physics 2018-01-25 Max Edward Laycock , Peter Millington

The Positive Binding Conjecture is a proposed formulation of the Weak Gravity Conjecture appropriate to Anti de-Sitter (AdS) space. It proposes that in a consistent gravitational theory, with a $U(1)$ gauge symmetry, there must exist a…

High Energy Physics - Theory · Physics 2023-03-01 Stefano Andriolo , Marco Michel , Eran Palti

In the presence of a strong electric field, the vacuum is unstable to the production of pairs of charged particles -- the Schwinger effect. The created pairs extract energy from the electric field, resulting in nontrivial backreaction. In…

High Energy Physics - Theory · Physics 2026-04-10 Samuel E. Gralla , Morifumi Mizuno

The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a large number of the equidistant energy levels of electronic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. G. Lang , L. I. Korovin , D. A. Contreras-Solorio , S. T. Pavlov

I show that a quantized Klein-Gordon field in Minkowski space obeys an `operational' weak energy condition: the energy of an isolated device constructed to measure or trap the energy in a region, plus the energy it measures or traps, cannot…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Adam D. Helfer

It is well known that quantum effects can produce negative energy densities, though for limited times. Here we show in the context of two-dimensional CFT that such negative energy densities are present in any non-trivial conformal vacuum…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Eugenio Bianchi , Matteo Smerlak

We report new attractive force between ions that are shielded by degenerate electrons in quantum plasmas. Specifically, we show that the electric potential around an isolated ion has a hard core negative part that resembles the…

Plasma Physics · Physics 2012-08-13 Padma Kant Shukla , Bengt Eliasson

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

Spectra of standard 1d potentials (double-well, sin-Gordon etc) are given by trans-series in coupling, including (badly divergent) perturbative series (PS), and nonperturbative terms. All of them are badly defined (e.g. PS are badly…

High Energy Physics - Theory · Physics 2026-05-13 Edward Shuryak

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

The sampled negative energy density seen by inertial observers, in arbitrary quantum states is limited by quantum inequalities, which take the form of an inverse relation between the magnitude and duration of the negative energy. The…

General Relativity and Quantum Cosmology · Physics 2014-10-14 L. H. Ford , Thomas A. Roman