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Given a system of analytic functions and an approximation to a cluster of zeros, we wish to construct two regions containing the cluster and no other zeros of the system. The smaller region tightly contains the cluster while the larger…

代数几何 · 数学 2023-02-10 Michael Burr , Kisun Lee , Anton Leykin

An outgrowth of the idea of inflation is advanced. In the inflation regime, the singularity condition is broken. Equations which govern inflation are invariant under time reversal, so that they describe deflation as well. Those two…

综合物理 · 物理学 2009-11-02 Vladimir S. Mashkevich

We develop a technique to construct analytical solutions of the linear perturbations of inflation with a nonlinear dispersion relation, due to quantum effects of the early universe. Error bounds are given and studied in detail. The…

宇宙学与河外天体物理 · 物理学 2014-11-10 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng

Stochastic inflation can resolve strong inflationary perturbations, which seed primordial black holes. I present a fast and accurate way to compute these perturbations in typical black hole producing single-field models, treating the…

宇宙学与河外天体物理 · 物理学 2023-04-25 Eemeli Tomberg

In construction of an inflationary model, one usually assumes that the matter sector of the gravitational action is minimally coupled to the background. It means that the matter (inflaton) part of the action is coupled with the same metric…

广义相对论与量子宇宙学 · 物理学 2021-05-25 Yousef Bisabr

Inflation can occur in the cores of topological defects, where the scalar field is forced to stay near the maximum of its potential. This topological inflation does not require fine-tuning of the initial conditions.

高能物理 - 理论 · 物理学 2010-11-01 Alexander Vilenkin

The slow-roll approximation to inflation is ultimately justified by the presence of inflationary attractors for the orbits of the solutions of the dynamical equations in phase space. There are many indications that the inflaton field…

广义相对论与量子宇宙学 · 物理学 2011-08-11 Valerio Faraoni

The problem of causal inference is to determine if a given probability distribution on observed variables is compatible with some causal structure. The difficult case is when the causal structure includes latent variables. We here introduce…

量子物理 · 物理学 2019-07-24 Elie Wolfe , Robert W. Spekkens , Tobias Fritz

A common type of zero-inflated data has certain true values incorrectly replaced by zeros due to data recording conventions (rare outcomes assumed to be absent) or details of data recording equipment (e.g. artificial zeros in gene…

We propose a new mechanism for inflationary model building in the framework of metric-affine gravity. Such a mechanism involves an inflaton non-minimally coupled with the Holst invariant. If the non-minimal coupling function has a zero…

广义相对论与量子宇宙学 · 物理学 2026-04-21 Antonio Racioppi

We analyze a distinctive mechanism for inflation in which particle production slows down a scalar field on a steep potential, and show how it descends from angular moduli in string compactifications. The analysis of density perturbations --…

高能物理 - 理论 · 物理学 2009-11-06 Daniel Green , Bart Horn , Leonardo Senatore , Eva Silverstein

We review conceptual aspects of inflationary scenarios able to produce primordial black holes, by amplifying the size of curvature fluctuations to the level required for triggering black hole formation. We identify general mechanisms to do…

宇宙学与河外天体物理 · 物理学 2023-05-10 Ogan Özsoy , Gianmassimo Tasinato

Nonminimal coupling of the inflaton field to the Ricci curvature of spacetime is generally unavoidable, and the paradigm of inflation should be generalized by including the corresponding term in the Lagrangian of the inflationary theory.…

高能物理 - 理论 · 物理学 2014-11-18 Valerio Faraoni

We construct an explicit scenario whereby the same material driving inflation in the early Universe can comprise dark matter in the present Universe, using a simple quadratic potential. Following inflation and preheating, the density of…

天体物理学 · 物理学 2009-06-23 Andrew R. Liddle , Cédric Pahud , L. Arturo Ureña-López

We propose a model for cosmic inflation which is based on an effective description of strongly interacting, nonsupersymmetric matter within the framework of dynamical Abelian projection and centerization. The underlying gauge symmetry is…

高能物理 - 唯象学 · 物理学 2009-11-07 Ralf Hofmann , Mathias Th. Keil

The subject of this study is inflation, a problem that has plagued America and the world over the last several decades. Despite a rich trove of scholarly studies and a wide range of tools developed to deal with inflation, we are nowhere…

综合经济学 · 经济学 2023-01-10 Gennady Shkliarevsky

We note that the essential idea of inflation, that the universe underwent a brief period of accelerated expansion followed by a long period of decelerated expansion, can be encapsulated in a "closure condition" which relates the amount of…

天体物理学 · 物理学 2010-12-28 Latham Boyle , Paul J. Steinhardt

An inflation model with inverse symmetry breaking of two scalar fields is proposed. Constraints on the parameters for a successful inflation are obtained. In general the inequality $\lambda_1\ll g <\lambda_2$ should be satisfied, where…

高能物理 - 唯象学 · 物理学 2014-11-17 Jae-weon Lee , In-guy Koh

Within the framework of geometric inflation, where the Friedmann equation is modified to incorporate an infinite series of higher curvature corrections, we describe the emergence of a de Sitter inflationary phase near the poles of an…

高能物理 - 理论 · 物理学 2025-06-23 Adolfo Cisterna , Nicolas Grandi , Julio Oliva

We argue, using a phenomenological holographic approach, that walking, strongly coupled gauge theories generate a suitable potential for a small field inflation model. We show that the effective description is a model of a single inflaton.…

高能物理 - 理论 · 物理学 2012-08-16 Nick Evans , James French , Keun-Young Kim
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