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19922025
most citedClassical Equations for Quantum Systems

934 citations · 3.5k across the 98 of their papers we have counts for

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hep-th2018★ 59 cited

What is the No-Boundary Wave Function of the Universe?

Jonathan J. Halliwell, James B. Hartle, Thomas Hertog

We specify the semiclassical no-boundary wave function of the universe without relying on a functional integral of any kind. The wave function is given as a sum of specific saddle…

hep-th2017

Observational Implications of Fuzzball Formation

Thomas Hertog, James Hartle

We consider the quantum dynamics of gravitational collapse in a model in which the wave function spreads out over a large ensemble of geometries as envisioned in the fuzzball propo…

hep-th2016

One Bubble to Rule Them All

James Hartle, Thomas Hertog

We apply the principles of quantum mechanics and quantum cosmology to predict probabilities for our local observations of a universe undergoing false vacuum eternal inflation. At a…

hep-th2015★ 24 cited

Quantum Transitions Between Classical Histories: Bouncing Cosmologies

James Hartle, Thomas Hertog

In a quantum theory of gravity spacetime behaves classically when quantum probabilities are high for histories of geometry and field that are correlated in time by the Einstein equ…

hep-th2012★ 53 cited

Quantum Probabilities for Inflation from Holography

James B. Hartle, S. W. Hawking, Thomas Hertog

The evolution of the universe is determined by its quantum state. The wave function of the universe obeys the constraints of general relativity and in particular the Wheeler-DeWitt…

hep-th2012

Accelerated Expansion from Negative Λ

James B. Hartle, S. W. Hawking, Thomas Hertog

Wave functions specifying a quantum state of the universe must satisfy the constraints of general relativity, in particular the Wheeler-DeWitt equation (WDWE). We show for a wide c…

hep-th2011★ 101 cited

Holographic No-Boundary Measure

Thomas Hertog, James Hartle

We show that the complex saddle points of the no-boundary wave function with a positive cosmological constant and a positive scalar potential have a representation in which the geo…

hep-th2011★ 18 cited

Arrows of Time in the Bouncing Universes of the No-boundary Quantum State

James Hartle, Thomas Hertog

We derive the arrows of time of our universe that follow from the no-boundary theory of its quantum state (NBWF) in a minisuperspace model. Arrows of time are viewed four-dimension…

hep-th2010★ 51 cited

Local Observation in Eternal inflation

James Hartle, 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 sma…

hep-th2010★ 4 cited

The Xerographic Distribution: Scientific Reasoning in a Large Universe

Mark Srednicki, James Hartle

As observers of the universe we are physical systems within it. If the universe is very large in space and/or time, the probability becomes significant that the data on which we ba…

hep-th2010★ 45 cited

The No-Boundary Measure in the Regime of Eternal Inflation

James Hartle, S. W. Hawking, Thomas Hertog

The no-boundary wave function (NBWF) specifies a measure for prediction in cosmology that selects inflationary histories and remains well behaved for spatially large or infinite un…

hep-th2009★ 42 cited

Science in a Very Large Universe

Mark Srednicki, James Hartle

As observers of the universe we are quantum physical systems within it. If the universe is very large in space and/or time, the probability becomes significant that the data on whi…

hep-th2009★ 21 cited

Replication Regulates Volume Weighting in Quantum Cosmology

James Hartle, Thomas Hertog

Probabilities for observations in cosmology are conditioned both on the universe's quantum state and on local data specifying the observational situation. We show the quantum state…

hep-th2008★ 183 cited

The Classical Universes of the No-Boundary Quantum State

James B. Hartle, S. W. Hawking, Thomas Hertog

We analyze the origin of the quasiclassical realm from the no-boundary proposal for the universe's quantum state in a class of minisuperspace models. The models assume homogeneous,…

hep-th2007★ 155 cited

The No-Boundary Measure of the Universe

James B. Hartle, S. W. Hawking, Thomas Hertog

We consider the no-boundary proposal for homogeneous isotropic closed universes with a cosmological constant and a scalar field with a quadratic potential. In the semi-classical li…

hep-th2007★ 91 cited

Are We Typical?

James B. Hartle, Mark Srednicki

Bayesian probability theory is used to analyze the oft-made assumption that humans are typical observers in the universe. Some theoretical calculations make the {\it selection fall…

hep-th2005★ 236 cited

Observables in effective gravity

Steven B. Giddings, Donald Marolf, James B. Hartle

We address the construction and interpretation of diffeomorphism-invariant observables in a low-energy effective theory of quantum gravity. The observables we consider are construc…