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Idealized and comprehensive ocean models at low resolutions cannot reproduce nominally-resolved flow structures similar to those presented in the high-resolution solution. Although there are various underlying physical reasons for this,…

Fluid Dynamics · Physics 2023-05-24 Igor Shevchenko , Pavel Berloff

Freelance holography program is an extension of the gauge/gravity correspondence in which the boundary theory can reside on any timelike codimension-one surface in AdS space, and the boundary conditions on the bulk fields can be chosen…

High Energy Physics - Theory · Physics 2025-10-21 M. M. Sheikh-Jabbari , V. Taghiloo

We discuss the duality, conjectured in earlier work, between the wave function of the multiverse and a 3D Euclidean theory on the future boundary of spacetime. In particular, we discuss the choice of the boundary metric and the relation…

High Energy Physics - Theory · Physics 2015-05-27 Alexander Vilenkin

In compressive sensing, it is challenging to reconstruct image of high quality from very few noisy linear projections. Existing methods mostly work well on piecewise constant images but not so well on piecewise smooth images such as natural…

Optimization and Control · Mathematics 2021-02-18 Jing Qin , Weihong Guo

In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within…

High Energy Physics - Theory · Physics 2025-07-10 Jing-Cheng Chang , Song He , Yu-Xiao Liu , Long Zhao

We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities along a graph $\Gamma$. We impose physically relevant conditions on the cone singularities, e.g. positivity of mass (angle less…

Differential Geometry · Mathematics 2009-05-13 Thierry Barbot , Francesco Bonsante , Jean-Marc Schlenker

For first passage percolation (FPP) on integer lattice with i.i.d. passage time distributions, in order to show existence of semi-infinite geodesics along a fixed direction, one requires unproven assumptions on the limiting shape. We…

Probability · Mathematics 2017-07-12 Kumarjit Saha

Undecidability, a hallmark of G\"odel incompleteness theorems, has recently emerged in quantum many-body physics through the spectral gap problem. We demonstrate how this logical limitation can be holographically transmitted to a class of…

High Energy Physics - Theory · Physics 2026-02-02 Sameer Ahmad Mir , Francesco Marino , Arshid Shabir , Lawrence M. Krauss , Mir Faizal

This paper looks at the splitting problem for globally hyperbolic spacetimes with timelike Ricci curvature bounded below containing a (spacelike, acausal, future causally complete) hypersurface with mean curvature bounded from above. For…

Differential Geometry · Mathematics 2016-09-19 Melanie Graf

We study codimension-even conical defects that contain a deficit solid angle around each point along the defect. We show that they lead to a delta function contribution to the Lovelock scalar and we compute the contribution by two methods.…

High Energy Physics - Theory · Physics 2020-09-10 Jani Kastikainen

According to the AdS/CFT correspondence, certain quantum many-body systems in $d$-dimensions are equivalent to gravitational theories in $(d+1)$-dimensional asymptotically AdS spacetimes. When a massless particle is sent from the AdS…

High Energy Physics - Theory · Physics 2024-06-18 Motoaki Bamba , Koji Hashimoto , Keiju Murata , Daichi Takeda , Daisuke Yamamoto

According to the holographic principle, the description of a volume of space can be thought of as encoded on its boundary. Holographic principle establishes equivalence, or duality, between theoretical description of volume physics, which…

Optics · Physics 2015-06-18 Igor I. Smolyaninov

We aim to establish the holographic principle as a universal law, rather than a property only of static systems and special space-times. Our covariant formalism yields an upper bound on entropy which applies to both open and closed…

High Energy Physics - Theory · Physics 2011-04-15 Raphael Bousso

We study the effects of Gauss-Bonnet corrections on some nonlocal probes (entanglement entropy, $n$-partite information and Wilson loop) in the holographic model with momentum relaxation. Higher-curvature terms as well as scalar fields make…

High Energy Physics - Theory · Physics 2018-03-06 M Reza Tanhayi , R Vazirian

Aging phenomena are examples of `non-equilibrium criticality' and can be exemplified by systems with Galilean and scaling symmetries but no time translation invariance. We realize aging holographically using a deformation of a…

High Energy Physics - Theory · Physics 2010-12-09 Juan I. Jottar , Robert G. Leigh , Djordje Minic , Leopoldo A. Pando Zayas

We consider the real-time holography on Anti-de-Sitter (AdS) and more generally on Lifshitz spacetimes for spinorial fields. The equation of motion for fermions on general Lifshitz space is derived. Analytically solvable cases are…

High Energy Physics - Theory · Physics 2011-07-05 Yegor Korovin

The starting point of this work is the principle that all movement of particles and photons must follow geodesics of a 4-dimensional space where time intervals are always a measure on geodesic arc lengths. The last 3 coordinates (alpha =…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose B. Almeida

We study transversely Lorentzian foliations on the closed 3-manifolds. We classify them under a completeness hypothesis and we deduce the dual classification of codimension 1 geodesically complete timelike totally geodesic foliations.…

Differential Geometry · Mathematics 2007-05-23 C. Boubel , P. Mounoud , C. Tarquini

The classical gravity approximation is often employed in AdS/CFT to study the dual field theory, as it allows for many computations. A drawback is however the generic presence of singularities in classical gravity, which limits the…

High Energy Physics - Theory · Physics 2019-10-28 Norbert Bodendorfer , Andreas Schäfer , John Schliemann

A holographic time band is a causal incomplete boundary spacetime subregion whose causal wedge is a causal complete bulk spacetime subregion. In an AdS$_3$ spacetime with a specifically modified IR geometry, its causal wedge coincides with…

High Energy Physics - Theory · Physics 2025-04-21 Xin-Xiang Ju , Bo-Hao Liu , Ya-Wen Sun , Yang Zhao