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We study violations of the Null Energy Condition (NEC) in Quantum Field Theory (QFT) and their implications. For the first part of the project, we examine these violations for classes of already known and novel (first discussed here) QFT…

High Energy Physics - Theory · Physics 2018-06-04 Dimitrios Krommydas

Energy conditions are crucial for understanding why exotic phenomena such as traversable wormholes and closed timelike curves remain elusive. In this paper, we prove the Double Smeared Null Energy Condition (DSNEC) for the fermionic free…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Duarte Fragoso , Lihan Guo

We consider the effective stress-energy tensors for the foreground and background sectors in ghost-free bimetric gravity. By considering the symmetries of the theory, we show that the foreground and background null energy conditions (NECs)…

General Relativity and Quantum Cosmology · Physics 2012-12-06 Valentina Baccetti , Prado Martin-Moruno , Matt Visser

The Quantum Null Energy Condition (QNEC) is a lower bound on the stress-energy tensor in quantum field theory that has been proved quite generally. It can equivalently be phrased as a positivity condition on the second null shape derivative…

High Energy Physics - Theory · Physics 2021-02-03 Mudassir Moosa , Pratik Rath , Vincent Paul Su

The singularity and inflationary problems have posed significant challenges for understanding the universe's origin and evolution. Bouncing cosmology has emerged as a promising alternative to standard cosmological models, offering a…

General Relativity and Quantum Cosmology · Physics 2025-07-28 A. Zhadyranova , M. Koussour , V. Zhumabekova , N. Zhusupova , S. Muminov , J. Rayimbaev

We consider the possibility that the weak cosmic censorship conjecture can be violated using the Oppenheimer-Snyder collapse model with a perfect fluid star interior. Metric models with a naked singularity can be used, and the…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Il Gyeong Choi , Dong-han Yeom

We show that the DBI conformal galileons, derived from the world-volume theory of a 3-brane moving in an AdS bulk, admit a background, stable under quantum corrections, which violates the Null Energy Condition (NEC). The perturbations…

High Energy Physics - Theory · Physics 2013-08-02 Kurt Hinterbichler , Austin Joyce , Justin Khoury , Godfrey E. J. Miller

We consider averaged null energy conditions (ANEC) for strongly coupled quantum field theories in even (two and four) dimensional curved spacetimes by applying the no-bulk-shortcut principle in the context of the AdS/CFT duality. In the…

High Energy Physics - Theory · Physics 2020-12-02 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda

In QFT, the null energy condition (NEC) for a classical field configuration is usually associated with that configuration's stability against small perturbations, and with the sub-luminality of these. Here, we exhibit an effective field…

High Energy Physics - Theory · Physics 2012-09-18 Alberto Nicolis , Riccardo Rattazzi , Enrico Trincherini

The averaged null energy conditions (ANEC) states that, along a complete null curve, the negative energy fluctuations of a quantum field must be balanced by positive energy fluctuations. We use the AdS/CFT correspondence to prove the ANEC…

General Relativity and Quantum Cosmology · Physics 2015-02-24 William R. Kelly , Aron C. Wall

The quantum null energy condition (QNEC) is the only known consistent local energy condition in quantum theories. Contrary to the classical energy condition which are known to be violated in QFT, QNEC is a consequence of the quantum…

High Energy Physics - Theory · Physics 2020-09-16 Philipp Stanzer

Quantum inequalities are constraints on how negative the weighted average of the renormalized stress-energy tensor of a quantum field can be. A null-projected quantum inequality can be used to prove the averaged null energy condition…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Eleni-Alexandra Kontou , Ken D. Olum

The expected stress-energy tensor <T_{ab}> of quantum fields generically violates the local positive energy conditions of general relativity. However, <T_{ab}> may satisfy some nonlocal conditions such as the averaged null energy condition…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eanna Flanagan , Robert Wald

We present a model for a classical, non-singular bouncing cosmology without violation of the null energy condition (NEC). The field content is General Relativity plus a real scalar field with a canonical kinetic term and only…

General Relativity and Quantum Cosmology · Physics 2021-04-02 Özenç Güngör , Glenn D. Starkman

The null energy or null convergence condition (NEC) is one of the fundamental assumptions necessary for many celebrated results from Lorentzian Geometry and Mathematical General Relativity. As such there have been several recent efforts to…

Differential Geometry · Mathematics 2025-12-24 Melanie Graf , Yaver Gulusoy

The averaged null energy condition has been recently shown to hold for linear quantum fields in a large class of spacetimes. Nevertheless, it is easy to show by using a simple scaling argument that ANEC as stated cannot hold generically in…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Ulvi Yurtsever

We use holography to prove the Quantum Null Energy Condition (QNEC) at leading order in large-$N$ for CFTs and relevant deformations of CFTs in Minkowski space which have Einstein gravity duals. Given any codimension-2 surface $\Sigma$…

High Energy Physics - Theory · Physics 2016-07-20 Jason Koeller , Stefan Leichenauer

We consider spherically-symmetric black holes in semiclassical gravity. For a collapsing radiating thin shell we derive a sufficient condition on the exterior geometry that ensures that a black hole is not formed. This is also a sufficient…

General Relativity and Quantum Cosmology · Physics 2019-06-04 Valentina Baccetti , Robert B. Mann , Daniel R. Terno

In general relativity, the energy conditions are invoked to restrict general energy-momentum tensors $T_{\mu\nu}$ in different frameworks, and to derive general results that hold in a variety of general contexts on physical grounds. We show…

Astrophysics · Physics 2008-11-26 J. Santos , J. S. Alcaniz , N. Pires , M. J. Reboucas

We put forward an improved version of the Galilean Genesis model that addresses the problem of superluminality. We demote the full conformal group to Poincare symmetry plus dilations, supplemented with approximate galilean shift invariance…

High Energy Physics - Theory · Physics 2013-02-28 Paolo Creminelli , Kurt Hinterbichler , Justin Khoury , Alberto Nicolis , Enrico Trincherini