- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Noncommutative and Quantum Gravity Theories
- Astrophysical Phenomena and Observations
- Galaxies: Formation, Evolution, Phenomena
- Dark Matter and Cosmic Phenomena
- Cellular Automata and Applications
- Computability, Logic, AI Algorithms
- Quantum Computing Algorithms and Architecture
- Quantum Electrodynamics and Casimir Effect
- Advanced Differential Geometry Research
- Geophysics and Gravity Measurements
- Gas Dynamics and Kinetic Theory
- Relativity and Gravitational Theory
- Homotopy and Cohomology in Algebraic Topology
- Quantum many-body systems
- Advanced Algebra and Geometry
- Complex Systems and Time Series Analysis
- Low-power high-performance VLSI design
KU Leuven
2021-2025
A bstract We develop a new setting in the framework of braneworld holography to describe pair coupled and entangled uniformly accelerated universes. The model consists two branes embedded into AdS space capping off UV IR regions, giving rise notion dS wedge holography. Specializing three-dimensional bulk, we show that JT gravity can emerge as an effective theory, provided fluctuations transverse are included. study holographic entanglement entropy between well complexity within...
Entanglement islands play a crucial role in our understanding of how Hawking radiation encodes information black hole, but their relevance cosmological spacetimes is less clear. In this paper, we continue investigation recovery de Sitter space and construct two-dimensional model gravity containing domain wall that interpolates between Rindler space. The wedges introduce weakly-gravitating asymptotic regions from which can be probed, yielding an outside perspective the horizon. contrast to...
A bstract This letter explores a transition in the type of von Neumann algebra for asymptotically AdS spacetimes from implementations different gravitational constraints. We denote it as centaur-algebra observables. In first part letter, we employ class flow geometries interpolating between 2 and dS spaces, centaur geometries. study II ∞ crossed product describing semiclassical theory, explore bounded sub-regions bulk theory following $$ T\overline{T} <mml:math...
We ask whether Krylov complexity is mutually compatible with the circuit and Nielsen definitions of complexity. show that complexities between three states fail to satisfy triangle inequality so cannot be a measure distance: there no possible metric for which length shortest path target state or operator. this explicitly in simplest example, single qubit, general. Published by American Physical Society 2024
A bstract According to static patch holography, de Sitter space admits a unitary quantum description in terms of dual theory living on the stretched horizon, that is timelike surface close cosmological horizon. In this manuscript, we compute several holographic complexity conjectures periodic extension Schwarzschild-de black hole. We consider multiple configurations horizons which geometric objects are anchored. The proposals admit hyperfast growth when gravitational observables only lie...
A bstract We investigate observables within the framework of codimension-one C=Anything (CAny) proposal for Schwarzschild-de Sitter (SdS) space under influence shockwave sources. Within proposal, there is a set time-reversal invariant that display same rate growth at early and late times background with or without Once we introduce shockwaves in weak gravitational coupling regime, decrease late-time complexity due to cancellations early-time perturbations, known as switchback effect. The...
A bstract We explore the complexity equals volume proposal for planar black holes in anti-de Sitter (AdS) spacetime 2+1 dimensions, with an end of world (ETW) brane behind horizon. allow possibility intrinsic gravitational dynamics form Jackiw-Teitelboim (JT) gravity to be localized on brane. compute asymptotic rate change analytically and obtain full time dependence using numerical techniques. find that inclusion JT leads interesting effects holographic complexity. identify region parameter...
A bstract We propose a new information transfer protocol for de Sitter space, using black holes as energy reservoirs. consider antipodal observers in pure space the Bunch-Davis state. They can store Hawking modes from cosmological horizon box. Alternatively, due to thermal fluctuations formed through pair-creation process be used focus on Nariai hole case, which corresponds an equilibrium Once is produced, pulses released into its interior, opening traversable wormhole. provide bounds amount...
Recent developments in anti–de Sitter holography point towards the association of an infinite class covariant objects, simplest one being codimension-one extremal volumes, with quantum computational complexity microscopic description. One defining features these gravitational proposals is describing persistent growth black hole interior classical gravity. It tempting to assume that apply also gravity outside their native setting which case they may reveal new truths about cases much less...
A bstract We construct a multiverse model where empty AdS d +1 space is cut off by pair of accelerated dS universes, at finite boundary cutoff which we treat as T 2 deformation in the holographic dual, and one interior, IR brane; denote construction wedge holography. glue together several copies this configuration along UV branes periodic matter. To provide with dynamics similar to those near Nariai black holes used other toy models, specialize = add JT gravity an intrinsic theory on branes....
A bstract We consider multiverse models in two-dimensional linear dilaton-gravity theories as toy of false vacuum eternal inflation. Coupling conformal matter we calculate the Von Neumann entropy subregions. When these are sufficiently large find that an island develops covering most rest multiverse, leading to a Page-like transition. This resonates with description semiclassical quantum cosmology, where measure for local predictions is given by saddle point geometries which coarse-grain...
We study various aspects of higher-curvature theories gravity built from contractions the metric, Riemann tensor, and covariant derivative, $\mathcal{L}({g}^{ab},{R}_{abcd},{\ensuremath{\nabla}}_{a})$. characterize linearized spectrum these compute modified Newton potential in general case. Then, we present first examples generalized quasitopological (GQT) gravities involving derivatives tensor. argue that they always have second-order equations on maximally symmetric backgrounds. Focusing...
A bstract How can we define complexity in dS space from microscopic principles? Based on recent developments pointing towards a correspondence between pair of double-scaled Sachdev-Ye-Kitaev (DSSYK) models/ 2D Liouville-de Sitter (LdS 2 ) field theory/ 3D Schwarzschild de (SdS 3 [1–3], study concrete proposals the models and their dual descriptions. First, examine spread maximal entropy state doubled DSSYK model. We show that it counts number entangled chord states its Hilbert space....
Recent developments in anti-de Sitter holography point towards the association of an infinite class covariant objects, simplest one being codimension-one extremal volumes, with quantum computational complexity microscopic description. One defining features these gravitational proposals is describing persistent growth black hole interior classical gravity. It tempting to assume that apply also gravity outside their native setting which case they may reveal new truths about cases much less...
We construct a multiverse model based on recent proposal for dS wedge holography, where empty AdS$_3$ space is cut off by pair of accelerated dS$_2$ universes, one near the AdS boundary, denoted UV brane, and in interior, IR brane. glue together several copies this configuration along branes periodic matter. To provide with dynamics like Nariai black holes used other toy models, we add JT gravity as an intrinsic theory branes. then study entanglement entropy respect to brane observer, who...
We argue that a type IIB Euclidean supergravity solution of the form $\mathbb{R}\times S^1\times \mathbb{T}^8$ with imaginary self-dual $F_1$ flux through S^1$ belongs to chain $AdS_d\times S^d\times \mathbb{T}^{10-2d}$ vacua (imaginary) $F_d$ flux, where $d\leq 5$. Such come from near-horizon D$(d-2)$/D$(8-d)$ branes and are supersymmetric for odd values $d$. For $d=1$ we speculate hallmark conformal symmetry matrix model dual is vanishing free energy. The was recently constructed by...
We propose a new information transfer protocol for de Sitter space, using black holes as energy reservoirs. consider antipodal observers in pure space the Bunch-Davis state. They can store Hawking modes from cosmological horizon box. Alternatively, due to thermal fluctuations pair-creation proceed and form needed reservoir. focus on Nariai case, corresponding an equilibrium Once it happens, pulses be then released into hole's interior, opening traversable wormhole. provide bounds amount of...
A bstract We construct wormholes supported by axion flux in the presence of a positive cosmological constant. The solutions describe compact, one-handle bodies colloquially known as kettlebell geometries. are perturbatively stable, but regularity Euclidean geometry implies an upper bound on flux. Viewed no-boundary saddle points, suppressed relative to round sphere. symmetric with maximal density has vanishing action. Continuing into Lorentzian across equator, two expanding branches de...
We study the holographic complexity of a pair asymptotically dS universes in presence axion matter, to characterize these observables more general spacetimes. The system is prepared two-copy Hartle-Hawking state by slicing an Euclidean wormhole, which entangles two universes. derive evolution codimension-1 Complexity=Anything proposals anchoring probes worldline observer each and connecting them through wormhole. investigate how charge competes with cosmological constant time complexity....
According to static patch holography, de Sitter space admits a unitary quantum description in terms of dual theory living on the stretched horizon, that is timelike surface close cosmological horizon. In this manuscript, we compute several holographic complexity conjectures periodic extension Schwarzschild-de black hole. We consider multiple configurations horizons which geometric objects are anchored. The proposals admit hyperfast growth when gravitational observables only lie patch, except...
How can we define complexity in dS space from microscopic principles? Based on recent developments pointing towards a correspondence between pair of double-scaled Sachdev-Ye-Kitaev (DSSYK) models/ 2D Liouville-de Sitter (LdS$_2$) field theory/ 3D Schwarzschild de (SdS$_3$) arXiv:2310.16994, arXiv:2402.00635, arXiv:2402.02584, study concrete proposals the models and their dual descriptions. First, examine spread maximal entropy state doubled DSSYK model. We show that it counts number...
The cosmological horizon has an associated entropy suggesting that it might encode a quantum mechanical system on its surface. This motivated extending the principles of anti-de Sitter (AdS) space/ conformal field theory (CFT) correspondence to static patch holography. Some our understanding AdS/CFT holography been catalyzed by exploring geometric duals information observables in CFT side correspondence. In particular, holographic complexity captures evolution black hole interior, which is...
It has been recently realized that the bulk dual of double-scaled SYK (DSSYK) model both positive and negative Ricci curvature is described by a dilaton-gravity theory with $\sin(\Phi)$ potential arXiv:2404.03535. We study T$^2$-deformations in DSSYK after performing ensemble averaging to probe regions approximately constant curvature. The finite cutoff interpretation deformation allows us place stretched horizon geometry, partially realizing conjecture Susskind arXix:2109.14104. show energy...
We study various aspects of higher-curvature theories gravity built from contractions the metric, Riemann tensor and covariant derivative, $\mathcal{L}(g^{ab},R_{abcd},\nabla_a)$. characterise linearized spectrum these compute modified Newton potential in general case. Then, we present first examples Generalized Quasi-topological (GQT) gravities involving derivatives tensor. argue that they always have second-order equations on maximally symmetric backgrounds. Focusing four spacetime...
We ask whether Krylov complexity is mutually compatible with the circuit and Nielsen definitions of complexity. show that complexities between three states fail to satisfy triangle inequality so cannot be a measure distance: there no possible metric for which length shortest path target state or operator. this explicitly in simplest example, single qubit, general.