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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

In recent literature on eternal inflation, a number of measures have been introduced which attempt to assign probabilities to different pocket universes by counting the number of each type of pocket according to a specific procedure. We…

High Energy Physics - Theory · Physics 2008-11-26 Anthony Aguirre , Steven Gratton , Matthew C Johnson

Building on previous work on de Sitter extremal surfaces anchored at the future boundary, we study no-boundary extremal surfaces in slow-roll inflation models, with perturbations to no-boundary global $dS$ preserving the spatial isometry.…

High Energy Physics - Theory · Physics 2025-03-06 Kaberi Goswami , K. Narayan , Gopal Yadav

Cosmic bubble collisions provide an important possible observational window on the dynamics of eternal inflation. In eternal inflation, our observable universe is contained in one of many bubbles formed from an inflating metastable vacuum.…

High Energy Physics - Theory · Physics 2012-05-29 Matthew C. Johnson , Hiranya V. Peiris , Luis Lehner

We identify a minisuperspace of complex deformations of ABJM theory for which the partition function specifies the amplitude of an eternally inflating universe. The boundary theory predicts that the bosonic bulk is effectively in the…

High Energy Physics - Theory · Physics 2025-08-15 Thomas Hertog , Jef Pauwels , Victoria Venken

Theoretical considerations motivate us to consider vacuum energy to be able to decay and to assume that the spatial geometry of the universe is closed. Combining both aspects leads to the possibility that the universe, or certain regions…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Jean-Luc Lehners , Jerome Quintin

In this paper a holographic description of eternal inflation is developed. We focus on the description of an open FRW universe that results from a tunneling event in which a false vacuum with positive vacuum energy decays to a…

High Energy Physics - Theory · Physics 2010-04-07 Yasuhiro Sekino , Leonard Susskind

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…

General Relativity and Quantum Cosmology · Physics 2011-06-20 Laura Mersini-Houghton

The usual theory of inflation breaks down in eternal inflation. We derive a dual description of eternal inflation in terms of a deformed Euclidean CFT located at the threshold of eternal inflation. The partition function gives the amplitude…

High Energy Physics - Theory · Physics 2018-05-23 S. W. Hawking , Thomas Hertog

We consider landscape models that admit several regions where the conditions for eternal inflation hold. It is shown that one can use the no-boundary wave function to calculate small departures from homogeneity within our past light cone…

High Energy Physics - Theory · Physics 2011-04-20 James Hartle , S. W. Hawking , Thomas Hertog

In the picture of eternal inflation, our observable universe resides inside a single bubble nucleated from an inflating false vacuum. Many of the theories giving rise to eternal inflation predict that we have causal access to collisions…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-08 Stephen M. Feeney , Matthew C. Johnson , Daniel J. Mortlock , Hiranya V. Peiris

I present a brief review of astro-ph/0406099, which argues that there is a limit on the number of efolds of inflation which are observable in a universe which undergoes an eternally accelerated expansion in the future. Such an acceleration…

High Energy Physics - Theory · Physics 2007-05-23 Matthew Kleban

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

Inflationary cosmology leads to the picture of a "multiverse," involving an infinite number of (spatially infinite) post-inflationary thermalized regions, called pocket universes. In the context of theories with many vacua, such as the…

High Energy Physics - Theory · Physics 2011-05-05 Jaume Garriga , Delia Schwartz-Perlov , Alexander Vilenkin , Sergei Winitzki

We study a statistical model defined by a conformally invariant distribution of overlapping spheres in arbitrary dimension d. The model arises as the asymptotic distribution of cosmic bubbles in d+1 dimensional de Sitter space, and also as…

High Energy Physics - Theory · Physics 2009-12-15 Ben Freivogel , Matthew Kleban

We present a concrete holographic realization of the eternal inflation and its census taker in (1+1) dimensional Liouville gravity by applying the FRW/CFT philosophy proposed by Freivogel, Sekino, Susskind and Yeh (FSSY). The dual boundary…

High Energy Physics - Theory · Physics 2011-02-01 Yu Nakayama

A ``bubble universe'' nucleating in an eternally inflating false vacuum will experience, in the course of its expansion, collisions with an infinite number of other bubbles. In an idealized model, we calculate the rate of collisions around…

High Energy Physics - Theory · Physics 2008-11-26 Jaume Garriga , Alan H. Guth , Alexander Vilenkin

In this letter we discuss cosmological first order phase transitions with de Sitter bubbles nucleating on (inhomogeneous) matter backgrounds. The de Sitter bubble can be a toy model for an inflationary phase of universes like our own. Using…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Aleksandar Rakic , Dennis Simon , Julian Adamek , Jens C. Niemeyer

We study the propagation of bubbles of new vacuum in a radially inhomogeneous Lemaitre-Tolman-Bondi background that includes a cosmological constant. This exemplifies the classical evolution of a tunneling bubble through a metastable state…

High Energy Physics - Theory · Physics 2008-11-26 Willy Fischler , Chethan Krishnan , Sonia Paban , Marija Zanic

Eternal inflation arising from a potential landscape predicts that our universe is one realization of many possible cosmological histories. One way to access different cosmological histories is via the nucleation of bubble universes from a…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-13 Matthew C. Johnson , Wei Lin