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We present a new approach for search of coexisting classes of localised modes admitted by the repulsive (defocusing) scalar or vector nonlinear Schr\"odinger-type equations. The approach is based on the observation that generic solutions of…

Pattern Formation and Solitons · Physics 2019-04-10 G. L. Alfimov , I. V. Barashenkov , A. P. Fedotov , V. V. Smirnov , D. A. Zezyulin

A recently proposed Asymptotically Safe cosmology provides an elegant mechanism towards understanding the nature of dark energy and its associated cosmic coincidence problem. The underlying idea is that the accelerated expansion of the…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-06 Fotios K. Anagnostopoulos , Spyros Basilakos , Georgios Kofinas , Vasilios Zarikas

A new proposal for a Lorentz-invariant spontaneous localization theory is presented. It is based on the choice of a suitable set of macroscopic quantities to be stochastically induced to have definite values. Such macroscopic quantities…

Quantum Physics · Physics 2022-10-12 O. Nicrosini , A. Rimini

We probe the cosmological consequences of a recently proposed class of solutions to the cosmological constant problem. In these models, the universe undergoes a long period of inflation followed by a contraction and a bounce that sets the…

High Energy Physics - Phenomenology · Physics 2022-01-27 Lingyuan Ji , David E. Kaplan , Surjeet Rajendran , Erwin H. Tanin

We introduce a simple model of hard spheres with gravitational interactions, for which we study a suitable scaling limit. Usual extensive properties are maintained notwithstanding the long range of gravitational interaction. We show that a…

Statistical Mechanics · Physics 2015-03-31 Maxime Champion , Angel Alastuey , Thierry Dauxois , Stefano Ruffo

We summarize unusual bound or localized states in quantum mechanics. Our guide through these intriguing phenomena is the classical physics of the upside-down pendulum. Taking advantage of the analogy between the corresponding Newton's…

Quantum Physics · Physics 2015-06-26 M. A. Cirone , G. Metikas , W. P. Schleich

A physical system is in local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements''. This should be a natural characterization of local equilibrium, but the problem is to give a…

High Energy Physics - Theory · Physics 2007-05-23 Hermann Hessling

The simultaneous estimation of multiple unknown parameters is the most general scenario in quantum sensing. Quantum multi-parameter estimation theory provides fundamental bounds on the achievable precision of simultaneous estimation.…

Quantum Physics · Physics 2025-12-02 Yaoling Yang , Victor Montenegro , Abolfazl Bayat

We study the effect of a mass term in the spontaneous scalarization of neutron stars, for a wide range of scalar field parameters and neutron star equations of state. Even though massless scalars have been the focus of interest in…

General Relativity and Quantum Cosmology · Physics 2016-03-09 Fethi M. Ramazanoğlu , Frans Pretorius

Complex metrics are a double-edged sword: they allow one to replace singular spacetimes, such as those containing a big bang, with regular metrics, yet they can also describe unphysical solutions in which quantum transitions may be more…

High Energy Physics - Theory · Physics 2022-08-31 Caroline Jonas , Jean-Luc Lehners , Jerome Quintin

We consider the thermal dunking problem, in which a solid body is suddenly immersed in a fluid of different temperature, and study both the temporal evolution of the solid and the associated Biot number -- a non-dimensional heat transfer…

Computational Engineering, Finance, and Science · Computer Science 2025-11-11 Theron Guo , Kento Kaneko , Claude Le Bris , Anthony T. Patera

There are many ways to decompose the Hilbert space H of a composite quantum system into tensor product subspaces. Different subsystem decompositions generally imply different interaction Hamiltonians V, and therefore different expectation…

Quantum Physics · Physics 2018-03-15 Adam Stokes , Prasenjit Deb , Almut Beige

In solving the problem of finding a temperature distribution which, at zero temperature, corresponds to superfluidity, i.e., to nonzero energy, the author tried to quantize free energy. This was done on the basis of supersecondary…

Superconductivity · Physics 2016-08-31 V. P. Maslov

A physical system should be in a local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements''. This seems to be a natural characterization of local equilibrium, however the problem…

High Energy Physics - Theory · Physics 2007-05-23 Hermann Hessling

We study the consequences of the $f(R/\Box)$ gravity models for the Solar system and the large scale structure of the universe. The spherically symmetric solutions can be used to obtain bounds on the constant and the linear parts of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tomi S. Koivisto

It is shown that the collapse model derived from the theory of causal fermion systems does not give rise to a heating of the probe. Experimental consequences are worked out. The connections to the continuous spontaneous localization (CSL)…

Quantum Physics · Physics 2025-11-11 Felix Finster , Claudio F. Paganini

Many mathematical models of statistical physics in two dimensions are either known or conjectured to exhibit conformal invariance. Over the years, physicists proposed predictions of various exponents describing the behavior of these models.…

Probability · Mathematics 2007-05-23 Oded Schramm

In this paper, we study the stochastic heat equation in the spatial domain $\mathbb{R}^d$ subject to a Gaussian noise which is white in time and colored in space. The spatial correlation can be any symmetric, nonnegative and…

Probability · Mathematics 2015-10-22 Le Chen , Kunwoo Kim

Mapping the unresolved intensity of the 21-cm emission of neutral hydrogen (HI) is now regarded as one the most promising tools for cosmological investigation in the coming decades. Here, we investigate, for the first time, extensions of…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-05 Stefano Camera , Hamsa Padmanabhan

Self-similar, spherically symmetric cosmological models with a perfect fluid and a scalar field with an exponential potential are investigated. New variables are defined which lead to a compact state space, and dynamical systems methods are…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alan Coley , Martin Goliath