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These lecture notes have been written for a short introductory course on the status of inflation after Planck and BICEP2, given at the Xth Modave School of Mathematical Physics. The first objective is to give an overview of the theory of…

宇宙学与河外天体物理 · 物理学 2015-01-05 Sebastien Clesse

The inflationary phase of the Universe is explored by proposing a toy model related to the scalar field, termed as {\it inflaton}. The potential part of the energy density in the said era is assumed to have a constant vacuum energy density…

综合物理 · 物理学 2019-05-22 Indranath Bhattacharyya , Saibal Ray , Prasenjit Paul

If you fall into a real astronomical black hole (choosing a supermassive black hole, to make sure that the tidal forces don't get you first), then you will probably meet your fate not at a central singularity, but rather in the…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Andrew J. S. Hamilton , Pedro P. Avelino

Observations of the cosmic microwave sky are revealing the primordial non-uniformities from which all structure in the Universe grew. The only known physical mechanism for generating the inhomogeneities we see involves the amplification of…

天体物理学 · 物理学 2009-10-31 Neil Turok

An inflationary scenario that leads to $\Omega _0<1$ today is presented. An epoch of `old' inflation during which the smoothness and horizon problems are solved is followed by a shortened epoch of `new' inflation. Old inflation exits…

高能物理 - 唯象学 · 物理学 2016-09-01 M. Bucher , A. S. Goldhaber , N. Turok , .

Motivated by brane cosmology we solve the Einstein equations with a time dependent cosmological constant. Assuming that at an early epoch the vacuum energy scales as $1/logt $, we show that the universe passes from a fast growing phase…

广义相对论与量子宇宙学 · 物理学 2014-11-17 E. Papantonopoulos , I. Pappa

The main objective of this paper is to develop a martingale-type solution to optimal consumption--investment choice problems ([Merton, 1969] and [Merton, 1971]) under time-varying incomplete preferences driven by externalities such as…

数理金融 · 定量金融 2025-01-14 Weixuan Xia

This article derives prognostic expressions for the evolution of globally aggregated economic wealth, productivity, inflation, technological change, innovation and growth. The approach is to treat civilization as an open, non-equilibrium…

综合金融 · 定量金融 2015-02-03 Timothy J. Garrett

Climate change has become intertwined with the global economy. Here, we describe the importance of inertia to continued growth in energy consumption. Drawing from thermodynamic arguments, and using 38 years of available statistics between…

综合经济学 · 经济学 2021-03-11 Timothy J. Garrett , Matheus R. Grasselli , Stephen Keen

It is widely assumed that increases in economic productivity necessarily lead to economic growth. In this paper, it is shown that this is not always the case. An idealized model of an economy is presented in which a new technology allows…

综合经济学 · 经济学 2024-11-26 Casey O. Barkan

Modern cosmology provides a connection between the physics of particles and fields and observational cosmology. Making use of this link, a wealth of new observational data can be utilized to explore and constrain theories of fundamental…

高能物理 - 唯象学 · 物理学 2009-10-30 Robert H. Brandenberger

In this paper we consider inflation as a probe of new physics near the string or Planck scale. We discuss how new physics can be captured by the choice of vacuum, and how this leads to modifications of the primordial spectrum as well as the…

高能物理 - 理论 · 物理学 2009-11-11 Ulf H. Danielsson

We find a rather unique extension of inflationary scenario which avoids selfreproduction and thus resolves the problems of multiverse, predictability and initial conditions. In this theory the amplitude of the cosmological perturbations is…

宇宙学与河外天体物理 · 物理学 2016-01-20 Viatcheslav Mukhanov

Cosmic inflation provides a window to the highest energy densities accessible in nature, far beyond those achievable in any realistic terrestrial experiment. Theoretical insights into the inflationary era and its observational probes may…

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

It is widely accepted that the primordial universe experienced a brief period of accelerated expansion called inflation. This scenario provides a plausible solution to the horizon and flatness problems. However, the particle physics…

广义相对论与量子宇宙学 · 物理学 2020-07-17 Sebastien Galtier , Jason Laurie , Sergey V. Nazarenko

The discovery of many novel realizations of the inflationary universe paradigm has led to a degeneracy problem: many different inflationary Lagrangians generate the same perturbation spectra. Resolving this problem requires the future…

宇宙学与河外天体物理 · 物理学 2011-02-18 Damien A. Easson , Brian A. Powell

The initial condition problem of inflation is examined from the perspective of both spacetime embedding and scalar field dynamics. The spacetime embedding problem is solved for arbitrary initial spatial curvature Omega, which generalizes…

高能物理 - 唯象学 · 物理学 2009-10-31 Arjun Berera , Christopher Gordon

In this paper we explore the relationship between the existence of eternal inflation and the initial conditions leading to inflation. We demonstrate that past and future completion of inflation is related, in that past-incomplete inflation…

广义相对论与量子宇宙学 · 物理学 2011-06-20 Laura Mersini-Houghton

This thesis is dedicated to analysing the generation and destruction of quantum correlations in the context of inflationary cosmology and an experiment of 'analogue' preheating. Inflation is a phase of accelerated expansion of the Universe,…

广义相对论与量子宇宙学 · 物理学 2024-12-04 Amaury Micheli