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We clarify the role of the oft-misunderstood Null Energy Condition (NEC) in the context of the current cosmological data. In particular, the NEC implies the sum of the total energy density and pressure satisfies $\rho_{tot}+P_{tot} \ge 0$;…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Robert R. Caldwell , Eric V. Linder

Entropy bounds render quantum corrections to the cosmological constant $\Lambda$ finite. Under certain assumptions, the natural value of $\Lambda$ is of order the observed dark energy density $\sim 10^{-10} {\rm eV}^4$, thereby resolving…

High Energy Physics - Theory · Physics 2008-11-26 Stephen D. H. Hsu

Quantum fields can notoriously violate the null energy condition (NEC). In a cosmological context, NEC violation can lead to, e.g., dark energy at late times with an equation-of-state parameter smaller than $-1$ and nonsingular bounces at…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Elly Moghtaderi , Brayden R. Hull , Jerome Quintin , Ghazal Geshnizjani

Field theories which violate the null energy condition (NEC) are of interest for the solution of the cosmological singularity problem and for models of cosmological dark energy with the equation of state parameter $w<-1$. We discuss the…

High Energy Physics - Theory · Physics 2008-11-26 I. Ya. Aref'eva , I. V. Volovich

In the context of Einstein gravity, if the null energy condition (NEC) is satisfied, the energy density in expanding space-times always decreases while in contracting space-times the energy density grows and the universe eventually…

General Relativity and Quantum Cosmology · Physics 2016-07-04 Anna Ijjas , Justin Ripley , Paul J. Steinhardt

We prove the generalized Covariant Entropy Bound, $\Delta S\leq (A-A')/4G\hbar$, for light-sheets with initial area $A$ and final area $A'$. The entropy $\Delta S$ is defined as a difference of von Neumann entropies of an arbitrary state…

High Energy Physics - Theory · Physics 2014-08-06 Raphael Bousso , Horacio Casini , Zachary Fisher , Juan Maldacena

Null Energy Condition (NEC) requires the equation of state (EoS) of the universe $w_u$ satisfy $w_u\geq-1$, which implies, for instance in a universe with matter and dark energy dominating…

General Relativity and Quantum Cosmology · Physics 2008-10-28 Taotao Qiu , Yi-Fu Cai , Xin-Min Zhang

We study the Null Energy Condition (NEC) arising from the Virasoro constraint on the string worldsheet. We then analyze how the NEC in the external spacetime directions emerges under general time-dependent string compactifications. Finally,…

High Energy Physics - Theory · Physics 2026-03-13 Mir Mehedi Faruk

We present a consistent effective theory that violates the null energy condition (NEC) without developing any instabilities or other pathological features. The model is the ghost condensate with the global shift symmetry softly broken by a…

High Energy Physics - Theory · Physics 2009-11-11 Paolo Creminelli , Markus A. Luty , Alberto Nicolis , Leonardo Senatore

The quantum null energy condition (QNEC) is a conjectured bound on components $(T_{kk} = T_{ab} k^a k^b$) of the stress tensor along a null vector $k^a$ at a point $p$ in terms of a second $k$-derivative of the von Neumann entropy $S$ on…

High Energy Physics - Theory · Physics 2017-12-29 Zicao Fu , Jason Koeller , Donald Marolf

We investigate the quantum null energy condition (QNEC) in holographic CFTs, focusing on half-spaces and particular classes of states. We present direct, and in certain cases nonperturbative, calculations for both the diagonal and off-…

High Energy Physics - Theory · Physics 2018-09-26 Zuhair U. Khandker , Sandipan Kundu , Daliang Li

A matter bouncing entropy-corrected cosmological model has been suggested. The model allows only positive curvature with negative pressure and no violation of the null energy condition. The result obtained in this paper is supported by some…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Nasr Ahmed , Tarek M. Kamel , Mohamed I Nouh

We examine the quantum null energy condition (QNEC) for a $2+1$-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a…

High Energy Physics - Theory · Physics 2019-01-14 Akihiro Ishibashi , Kengo Maeda , Eric Mefford

It is shown that the first law of thermodynamics and the holographic principle applied to an arbitrary large cosmic causal horizon naturally demand the zero cosmological constant and non-zero dynamical dark energy in the form of the…

High Energy Physics - Theory · Physics 2015-03-13 Jae-Weon Lee

Observations restrict the parameter space of Holographic Dark Energy (HDE) so that a turning point in the Hubble parameter $H(z)$ is inevitable. Concretely, cosmic microwave background (CMB), baryon acoustic oscillations (BAO) and Type Ia…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Eoin Ó Colgáin , M. M. Sheikh-Jabbari

We propose a technically natural scenario whereby an initially large cosmological constant (c.c.) is relaxed down to the observed value due to the dynamics of a scalar evolving on a very shallow potential. The model crucially relies on a…

High Energy Physics - Theory · Physics 2017-01-04 Lasma Alberte , Paolo Creminelli , Andrei Khmelnitsky , David Pirtskhalava , Enrico Trincherini

Standard cosmology has long been plagued by a number of persistent problems. The origin of the apparent acceleration of the cosmic expansion remains enigmatic. The cosmological constant has been reintroduced as a free parameter with a value…

General Physics · Physics 2023-02-28 Jan O. Stenflo

The conditions for validity of the Causal Entropy Bound (CEB) are verified in the context of non-singular cosmologies with classical sources. It is shown that they are the same conditions that were previously found to guarantee validity of…

High Energy Physics - Theory · Physics 2009-11-07 Ram Brustein , Stefano Foffa , Avraham E. Mayo

Inflation and dark energy (DE), both featuring accelerated expansion, are crucial components of modern cosmology. As indicated by singularity theorems, null energy condition (NEC) violation is essential for resolving the initial singularity…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Gen Ye , Yong Cai

We examine the achronal averaged null energy condition~(ANEC) for a class of conformal field theories~(CFT) at strong coupling in curved spacetime. By applying the AdS/CFT duality, we find holographic models which violate the achronal ANEC…

High Energy Physics - Theory · Physics 2019-09-11 Akihiro Ishibashi , Kengo Maeda , Eric Mefford
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