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Eternal inflation produces pocket universes with all physically allowed vacua and histories. Some of these pocket universes might contain a phase of slow-roll inflation, some might undergo cycles of cosmological evolution and some might…

High Energy Physics - Theory · Physics 2013-05-30 Jean-Luc Lehners

In this paper, we investigate a scenario of variable gravity and apply it to the unified description of inflation and late time cosmic acceleration dubbed quintessential inflation. The scalar field called "cosmon" which in this model…

General Relativity and Quantum Cosmology · Physics 2014-07-14 Md. Wali Hossain , R. Myrzakulov , M. Sami , Emmanuel N. Saridakis

Stochastic inflation describes the global structure of the inflationary universe by modeling the super-Hubble dynamics as a system of matter fields coupled to gravity where the sub-Hubble field fluctuations induce a stochastic force into…

High Energy Physics - Theory · Physics 2008-11-26 Andrew J. Tolley , Mark Wyman

We study particle production and the corresponding entropy increase in the context of cosmology with dynamical vacuum. We focus on the particular form that has been called "running vacuum model" (RVM), which is known to furnish a successful…

General Relativity and Quantum Cosmology · Physics 2020-02-14 Joan Sola , Hao Yu

In the global description of eternal inflation, probabilities for vacua are notoriously ambiguous. The local point of view is preferred by holography and naturally picks out a simple probability measure. It is insensitive to large expansion…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso

Some of the parameters we call ``constants of Nature'' may in fact be variables related to the local values of some dynamical fields. During inflation, these variables are randomized by quantum fluctuations. In cases when the variable in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jaume Garriga , Alexander Vilenkin

We propose to regulate the infinities of eternal inflation by relating a late time cut-off in the bulk to a short distance cut-off on the future boundary. The light-cone time of an event is defined in terms of the volume of its future…

High Energy Physics - Theory · Physics 2015-03-17 Raphael Bousso , Ben Freivogel , Stefan Leichenauer , Vladimir Rosenhaus

In this work we address the reheating issue in the context of $F(R)$ gravity, for theories that the inflationary era does not obey the slow-roll condition but the constant-roll condition is assumed. As it is known, the reheating era takes…

General Relativity and Quantum Cosmology · Physics 2017-10-10 V. K. Oikonomou

In this paper we introduce a simple discrete stochastic model of eternal inflation that shares many of the most important features of the continuum theory as it is now understood. The model allows us to construct a multiverse and rigorously…

High Energy Physics - Theory · Physics 2013-05-30 Daniel Harlow , Stephen Shenker , Douglas Stanford , Leonard Susskind

The basic workings of inflationary models are summarized, along with the arguments that strongly suggest that our universe is the product of inflation. The mechanisms that lead to eternal inflation in both new and chaotic models are…

Astrophysics · Physics 2009-10-31 Alan H. Guth

As a measure of the long-term contribution produced by customers in a service or product relationship, life-time value, or LTV, can more comprehensively find the optimal strategy for service delivery. However, it is challenging to…

Artificial Intelligence · Computer Science 2022-01-19 Zizhao Zhang , Yifei Zhao , Guangda Huzhang

Everlasting inflation has far-reaching implications for cosmology and the standing of self-localizing inferences made by observers, which have been subjects of renewed interest in light of the growing acceptance of theory landscapes and the…

General Relativity and Quantum Cosmology · Physics 2021-12-28 Ross N Greenwood , Anthony Aguirre

According to most inflationary models, fluctuations that are of cosmological size today started out much smaller than any plausible cutoff length such as the string or Planck lengths. It has been shown that this could open an experimental…

Astrophysics · Physics 2007-05-23 A. Ashoorioon , A. Kempf , R. B. Mann

Present treatments of eternal inflation regulate infinities by imposing a geometric cutoff. We point out that some matter systems reach the cutoff in finite time. This implies a nonzero probability for a novel type of catastrophe. According…

High Energy Physics - Theory · Physics 2011-02-28 Raphael Bousso , Ben Freivogel , Stefan Leichenauer , Vladimir Rosenhaus

I study fresh inflation from a five-dimensional vacuum state, where the fifth dimension is constant. In this framework, the universe can be seen as inflating in a four-dimensional FRW metric embedding in a five-dimensional metric. Finally,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Mauricio Bellini

We compute the time variation of the fundamental constants (such as the ratio of the proton mass to the electron mass, the strong coupling constant, the fine structure constant and Newton's constant) within the context of the so-called…

High Energy Physics - Phenomenology · Physics 2017-04-03 Harald Fritzsch , Joan Sola , Rafael C. Nunes

The quantum behavior of noncommutative eternal inflation is quite different from the usual knowledge. Unlike the usual eternal inflation, the quantum fluctuation of noncommutative eternal inflation is suppressed by the Hubble parameter. Due…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yi-Fu Cai , Yi Wang

The notion of Inertial Balanced Viscosity (IBV) solution to rate-independent evolutionary processes is introduced. Such solutions are characterized by an energy balance where a suitable, rate-dependent, dissipation cost is optimized at jump…

Analysis of PDEs · Mathematics 2022-03-22 Filippo Riva , Giovanni Scilla , Francesco Solombrino

A perturbative method for solving the Langevin equation of inflationary cosmology in presence of backreaction is presented. In the Gaussian approximation, the method permits an explicit calculation of the probability distribution of the…

High Energy Physics - Theory · Physics 2009-11-11 Jerome Martin , Marcello Musso

The curvaton and the inhomogeneous reheating scenarios for the generation of the cosmological curvature perturbation on large scales represent an alternative to the standard slow-roll scenario where the observed density perturbations are…

Astrophysics · Physics 2009-11-10 L. Pilo , A. Riotto , A. Zaffaroni