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We present a model of non-relativistic gravitational theory which is power-counting renormalizable in 3+1 dimensional spacetime. When applied to cosmology, the relativity-violation terms lead to a dark radiation component, which can give…

High Energy Physics - Theory · Physics 2009-11-13 Yi-Fu Cai , Emmanuel N. Saridakis

The focus of this paper is on a thin obstacle problem where the obstacle is defined on the intersection between a hyper-plane $\Gamma$ in $\mathbb{R}^n$ and a periodic perforation $\mathcal{T}_\varepsilon$ of $\mathbb{R}^n$, depending on a…

Analysis of PDEs · Mathematics 2012-04-17 Ki-ahm Lee , Martin Strömqvist , Minha Yoo

Determining the bubble wall velocity in first-order phase transitions is a challenging task, requiring the solution of (coupled) equations of motion for the scalar field and Boltzmann equations for the particles in the plasma. The collision…

High Energy Physics - Phenomenology · Physics 2025-02-28 Wen-Yuan Ai , Benoit Laurent , Jorinde van de Vis

We derive the conditional probability distribution of the peculiar velocity around a peak of given overdensity in a Gaussian density field. This distribution characterizes the shear field around local, isolated density peaks. We use the…

Astrophysics · Physics 2007-05-23 V. Antonuccio-delogu , S. Colafrancesco

We study the two-dimensional rotating shallow-water model describing Earth's oceanic layers. It is formally analogue to a Schr\"odinger equation where the tools from topological insulators are relevant. Once regularized at small scale by an…

Mathematical Physics · Physics 2021-09-01 Gian Michele Graf , Hansueli Jud , Clément Tauber

It is well known that a minimal distance emerges in quantum field theories owing to the need to regularize the UV divergences. The macroscopical limit at large minimal distance, weak spatial resolution, is investigated for a self…

High Energy Physics - Theory · Physics 2025-10-22 S. Nagy , J. Polonyi

We investigate reflected random walks in the quarter plane, with particular emphasis on the time spent along the reflection boundary axes. Assuming the drift of the random walk lies within the cone, the local time converges -- without the…

Probability · Mathematics 2025-07-08 Viet Hung Hoang , Kilian Raschel

The network of filaments with embedded clusters surrounding voids seen in maps derived from redshift surveys and reproduced in simulations has been referred to as the cosmic web. A complementary description is provided by considering the…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-23 Daniel Pomarede , Yehuda Hoffman , Helene M Courtois , R. Brent Tully

The Lieb-Robinson (LR) bound rigorously shows that in quantum systems with short-range interactions, the maximum amount of information that travels beyond an effective "light cone" decays exponentially with distance from the light-cone…

Quantum Physics · Physics 2020-09-08 Zhiyuan Wang , Kaden R. A. Hazzard

While the standard, six-parameter, spatially flat $\Lambda$CDM model has been highly successful, certain anomalies in the cosmic microwave background bring out a tension between this model and observations. The statistical significance of…

General Relativity and Quantum Cosmology · Physics 2021-09-21 Abhay Ashtekar , Brajesh Gupt , V. Sreenath

Models of effective stellar collapse inspired by loop quantum gravity predict a bounce when the stellar energy density reaches the Planck scale, typically followed by the formation of shell-crossing singularities. This work aims to extend…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Michał Bobula , Francesco Fazzini

The cosmic web consists of a complex configuration of voids, walls, filaments, and clusters, which formed under the gravitational collapse of Gaussian fluctuations. Understanding under what conditions these different structures emerge from…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-08 Job Feldbrugge , Rien van de Weygaert

In a quantum theory of gravity, fluctuations about the vacuum may be considered as Planck scale virtual black holes appearing and annihilating in pairs. Incident fields scattering from such fluctuations would lose quantum coherence. In a…

High Energy Physics - Theory · Physics 2009-10-31 T Prestidge

We investigate the circular motion and chaos bound of a charged particle near 4D charged AdS black holes in Einstein-Gauss-Bonnet gravity theory. By means of the Jacobian matrix, the analytical form of the Lyapunov exponent of the charged…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Jiayu Xie , Jie Wang , Bing Tang

Recent observations of ultra high energy cosmic rays and gamma rays suggest that there are small violations of Lorentz symmetry. If there were no such violations, then the GZK cut off would hold and cosmic rays with energy $\sim 10^{20}eV$…

General Physics · Physics 2007-05-23 B. G. Sidharth

We propose a new type of cosmological model in which it is postulated that not only the temperature but also the curvature is limited by the mass scale of the Hagedorn temperature. We find that the big bang of this universe is smoothly…

High Energy Physics - Theory · Physics 2016-09-06 Masafumi Fukuma , Hikaru Kawai , Masao Ninomiya

We study topological transport in the steady state of a quantum particle hopping on a one-dimensional lattice in the presence of dissipation. The model exhibits a rich phase structure, with the average particle velocity in the steady state…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Michael J. Kastoryano , Mark S. Rudner

We investigate the cosmological behavior in a universe governed by time asymmetric extensions of general relativity, which is a novel modified gravity based on the addition of new, time-asymmetric, terms on the Hamiltonian framework, in a…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Genly Leon , Emmanuel N. Saridakis

A granular system slightly below the percolation threshold is a collection of finite metallic clusters, characterized by wide spectrum of sizes, resistances, and charging energies. Electrons hop from cluster to clusters via short insulating…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 A. S. Ioselevich

We study the clustering of voids using $N$-body simulations and simple theoretical models. The excursion-set formalism describes fairly well the abundance of voids identified with the watershed algorithm, although the void formation…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-19 Kwan Chuen Chan , Nico Hamaus , Vincent Desjacques