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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 our model of quantum gravity the quantum development of a Cauchy hypersurface is governed by a wave equation derived as the result of a canonical quantization process. To find physically interesting solutions of the wave equation we…

Mathematical Physics · Physics 2017-01-23 Claus Gerhardt

It has been proposed that quantum complexity is dual to the volume of the extremal surface, the action of the Wheeler-DeWitt patch, and the spacetime volume of the patch. Recently, a generalized volume-complexity observable was formulated…

High Energy Physics - Theory · Physics 2023-11-27 Xuanhua Wang , Ran Li , Jin Wang

We introduce a model of a randomly growing interface in multidimensional Euclidean space. The growth model incorporates a random order model as an ingredient of its graphical construction, in a way that replicates the connection between the…

Probability · Mathematics 2007-09-12 Timo Seppäläinen

We study the evolution of linear density perturbations in a large spherical void universe which accounts for the acceleration of the cosmic volume expansion without introducing dark energy. The density contrast of this void is not large…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-07 Ryusuke Nishikawa , Chul-Moon Yoo , Ken-ichi Nakao

This is Part 1 in a series of papers about sizes of regular partitions of $3$-uniform hypergraphs. Previous work of the author and Wolf, and independently Chernikov and Towsner, showed that $3$-uniform hypergraphs of small slicewise…

Combinatorics · Mathematics 2024-04-02 C. Terry

Astrophysical observations indicate the expansion of the universe is accelerating. Applying the holographic entropy conjecture to the cosmological horizon in an accelerating universe suggests the universe has only a finite number of degrees…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. R. Mongan

We investigate holographic Krylov complexity in fully top-down AdS$_3$ and AdS$_2$ supergravity backgrounds dual to two-dimensional linear-quiver SCFTs and one-dimensional conformal quantum mechanics. In these geometries, the warp factors,…

High Energy Physics - Theory · Physics 2025-12-18 Ali Fatemiabhari , Horatiu Nastase , Carlos Nunez , Dibakar Roychowdhury

In this paper, we use the complexity equals action proposal and investigate holographic complexity for hyperscaling violating theories on different subregions of space-time enclosed by the null boundaries. We are interested in computing the…

High Energy Physics - Theory · Physics 2024-08-13 Zahra Borvayeh , Mohammad Reza Tanhayi , Sh. Rafibakhsh

We consider a variation of the Hastings-Levitov model HL(0) for random growth in which the growing cluster consists of two competing regions. We allow the size of successive particles to depend both on the region in which the particle is…

Probability · Mathematics 2020-04-03 Shane Turnbull , Amanda Turner

A generic spacetime topology contains timelike boundaries. Making use of two such boundaries, we formulate a microscopic holographic dual that captures cosmological spacetime beyond the cosmic horizon patch, including the future wedge. We…

High Energy Physics - Theory · Physics 2026-04-14 Batoul Banihashemi , Gauri Batra , Albert Y. T. Law , Eva Silverstein , Gonzalo Torroba

The aim of the present letter is to find the holographic entanglement entropy (HEE) in 2D holographic superconductors (HSC). Indeed, it is possible to compute the exact form of this entropy due to an advantage of approximate solutions…

High Energy Physics - Theory · Physics 2015-06-19 Davood Momeni , Hossein Gholizade , Muhammad Raza , Ratbay Myrzakulov

How do we describe non-trivial bulk measurements relative to an observer (i.e. relationally) when both the observer and the system it probes may/may not evolve in time? How can we interpret this holographically; particularly for zero-energy…

High Energy Physics - Theory · Physics 2025-12-23 Sergio E. Aguilar-Gutierrez

The holographic complexity is UV divergent. As a finite complexity, we propose a "regularized complexity" by employing a similar method to the holographic renormalization. We add codimension-two boundary counterterms which do not contain…

High Energy Physics - Theory · Physics 2017-09-20 Run-Qiu Yang , Chao Niu , Keun-Young Kim

High-Velocity Clouds (HVCs) are a major fuel reservoir for star formation in the Galactic disk. Determining their origin and kinematics is thus crucial for understanding Galactic evolution. In this paper, we employ simple test-particle…

Astrophysics of Galaxies · Physics 2026-04-28 Izumi Seno , Shu-ichiro Inutsuka , Jiro Shimoda

We give a detailed description of formation of the boundary layers in the inviscid limit problem. To be more specific, we prove that the magnitude of the vorticity near the boundary is growing to the size of $1/\sqrt{\nu}$ and the width of…

Analysis of PDEs · Mathematics 2022-03-08 Fei Wang , Yichun Zhu

The formation history of rich clusters is investigated using a hybrid N-body simulation in which high spatial and mass resolution can be achieved self-consistently within a small region of a very large volume. The evolution of three massive…

Astrophysics · Physics 2009-10-30 Tereasa G. Brainerd , David M. Goldberg , Jens Verner Villumsen

A stochastic approach based on generalized Polynomial Chaos (gPC) is used to quantify the error in Large-Eddy Simulation (LES) of a spatially-evolving mixing layer flow and its sensitivity to different simulation parameters, viz. the grid…

Fluid Dynamics · Physics 2013-09-27 Marcello Meldi , Maria Vittoria Salvetti , Pierre Sagaut

In this work, we study the holographic entanglement entropy (HEE) and holographic complexity (HC) for three-dimensional dyonic quantum black holes, incorporating corrections arising from bulk quantum fields in the setup of double…

High Energy Physics - Theory · Physics 2026-03-03 Sanhita Parihar , Gurmeet Singh Punia

We study the evolution of the halo-halo correlation function and bias in a LCDM model using very high-resolution N-body simulations. The high force and mass resolution allows dark matter (DM) halos to survive in the tidal fields in…

Astrophysics · Physics 2007-05-23 Andrey Kravtsov , Anatoly Klypin , Pedro Colin , Alexei Khokhlov