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We introduce the notion of relative volume entropy for two spacetimes with preferred compact spacelike foliations. This is accomplished by applying the notion of Kullback-Leibler divergence to the volume elements induced on spacelike…

General Relativity and Quantum Cosmology · Physics 2015-11-24 Nikolas Akerblom , Gunther Cornelissen

The aim of this paper is to present a modeling for the rheological behavior of simple liquids as a function of the amplitude of the imposed shear stress or strain. The elastic mode theory (Ref. 6) is first generalized to take into account…

Soft Condensed Matter · Physics 2023-02-14 Frédéric Aitken , Ferdinand Volino

It is well-known that quantum field theory (QFT) induces a huge value of the cosmological constant, $\Lambda$, which is outrageously inconsistent with cosmological observations. We review here some aspects of this fundamental theoretical…

General Relativity and Quantum Cosmology · Physics 2022-07-19 Joan Sola Peracaula

Homogeneous nucleation of a vapor bubble from a bulk metastable phase is studied here for the first time using the multibody dissipative particle dynamics model. The van der Waals equation of state is used to define a conservative force…

Statistical Mechanics · Physics 2012-03-02 Anuj Chaudhri , Jennifer R. Lukes

Vision-Language Models (VLMs) are typically deterministic in nature and lack intrinsic mechanisms to quantify epistemic uncertainty, which reflects the model's lack of knowledge or ignorance of its own representations. We theoretically…

Machine Learning · Computer Science 2026-05-21 Li Ju , Mayank Nautiyal , Andreas Hellander , Ekta Vats , Prashant Singh

In the context of control and estimation under information constraints, restoration entropy measures the minimal required data rate above which the state of a system can be estimated so that the estimation quality does not degrade over time…

Optimization and Control · Mathematics 2020-09-22 C. Kawan , A. Matveev , A. Pogromsky

We propose a new approach for multiverse analysis based on computational complexity, which leads to a new family of "computational" measure factors. By defining a cosmology as a space-time containing a vacuum with specified properties (for…

High Energy Physics - Theory · Physics 2018-04-18 Frederik Denef , Michael R. Douglas , Brian Greene , Claire Zukowski

We consider particle systems that are perturbations of the voter model and show that when space and time are rescaled the system converges to a solution of a reaction diffusion equation in dimensions $d \ge 3$. Combining this result with…

Probability · Mathematics 2011-03-10 J. Theodore Cox , Richard Durrett , Edwin Perkins

The suggestion that there exist causally disconnected universes or sub-universes to explain the values of physical parameters such as the cosmological constant is discussed. A statistical model of the string landscape/topography is…

High Energy Physics - Theory · Physics 2007-05-23 J. W. Moffat

This work reports an experimental characterisation of the flow properties in a homogeneous bubble swarm rising at high-Reynolds-numbers within a homogeneous and isotropic turbulent flow. Both the gas volume fraction {\alpha} and the…

Fluid Dynamics · Physics 2017-10-11 Elise Almeras , Varghese Mathai , Detlef Lohse , Chao Sun

In this paper we study the BV regularity for solutions of variational problems in Optimal Transportation. As an application we recover BV estimates for solutions of some non-linear parabolic PDE by means of optimal transportation…

Optimization and Control · Mathematics 2015-09-30 Guido De Philippis , Alpár Mészáros , Filippo Santambrogio , Bozhidar Velichkov

Noctilucent or polar mesospheric clouds have become visually brighter and occurred more frequently during the recent years and decades. The study of possible reasons and relations with climate changes requires data on long-time trends of…

Atmospheric and Oceanic Physics · Physics 2021-12-08 Oleg S. Ugolnikov

We investigate back reaction in de Sitter space in an approach where only states that are observationally accessible are included in the density matrix. Using the Bunch-Davies vacuum as the initial condition we find for a conformal scalar…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Tommi Markkanen

We study the following basic machine learning task: Given a fixed set of $d$-dimensional input points for a linear regression problem, we wish to predict a hidden response value for each of the points. We can only afford to attain the…

Machine Learning · Computer Science 2018-06-07 Michał Dereziński , Manfred K. Warmuth

Given some observable H of a finite-dimensional quantum system, we investigate the typical properties of random quantum state vectors that have a fixed expectation value with respect to H. Under some some conditions on the spectrum, we…

Quantum Physics · Physics 2011-05-03 Markus Mueller , David Gross , Jens Eisert

A wide variety of vacua, and their cosmological realization, may provide an explanation for the apparently anthropic choices of some parameters of particle physics and cosmology. If the probability on various parameters is weighted by…

High Energy Physics - Theory · Physics 2008-11-26 Lawrence J. Hall , Taizan Watari , T. T. Yanagida

We present experimental NMR demonstration of a scheme of reversible projective measurement, which allows extracting information on outcomes and probabilities of a projective measurement in a non-destructive way, with a minimal net effect on…

Quantum Physics · Physics 2010-04-27 Anatoly Khitrin , Michael Michalski , Jae-Seung Lee

Global climate models (GCMs), typically run at ~100-km resolution, capture large-scale environmental conditions but cannot resolve convection and cloud processes at kilometer scales. Convection-permitting models offer higher-resolution…

Atmospheric and Oceanic Physics · Physics 2026-05-12 Hungjui Yu , Lander Ver Hoef , Kristen L. Rasmussen , Imme Ebert-Uphoff

The study of systems with multiple (not necessarily degenerate) metastable states presents subtle difficulties from the mathematical point of view related to the variational problem that has to be solved in these cases. We introduce the…

Mathematical Physics · Physics 2013-03-18 Emilio N. M. Cirillo , Francesca R. Nardi

Using the information current, we develop a Lorentz-covariant framework for modeling equilibrium fluctuations in relativistic kinetic theory in the grand-canonical ensemble. The resulting stochastic theory is proven to be causal and…

Nuclear Theory · Physics 2024-07-24 Gabriel Soares Rocha , Lorenzo Gavassino , Nicki Mullins
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