Classical universes of the no-boundary quantum state

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

doi:10.1103/physrevd.77.123537

Cited by 172 publications

(393 citation statements)

References 28 publications

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“…It does not follow from the above analysis that the tuning (4.8) is possible with regularity conditions at the origin and therefore that the saddle points actually exist. However [25] have shown they do. In the neighbourhood of the SP at τ = τ 0 the O(4) invariant saddle point solutions take the form…”

Section: Jhep12(2015)025mentioning

confidence: 99%

“…Classical histories correspond to curves in the complex τ -plane along which both the scale factor and field are real. It was found in [25] that in the above parameterisation all curves corresponding to classical histories asymptote to a constant value z f . 6 This can also be seen from the asymptotic expansions (4.5) and (4.6), which to leading order in u can be written as…”

Section: Ds Representation Of Saddle Pointsmentioning

confidence: 99%

“…For example when the scalar field is relatively small at the SP and moving in a quadratic potential we have the analytic solution [25],…”

Section: Jhep12(2015)025mentioning

confidence: 99%

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Holographic tunneling wave function

Conti

Hertog

Woerd

2015

J. High Energ. Phys.

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The Hartle-Hawking wave function in cosmology can be viewed as a decaying wave function with anti-de Sitter (AdS) boundary conditions. We show that the growing wave function in AdS familiar from Euclidean AdS/CFT is equivalent, semiclassically and up to surface terms, to the tunneling wave function in cosmology. The cosmological measure in the tunneling state is given by the partition function of certain relevant deformations of CFTs on a locally AdS boundary. We compute the partition function of finite constant mass deformations of the O(N ) vector model on the round three sphere and show this qualitatively reproduces the behaviour of the tunneling wave function in Einstein gravity coupled to a positive cosmological constant and a massive scalar. We find the amplitudes of inhomogeneities are not damped in the holographic tunneling state.

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Section: Jhep12(2015)025mentioning

confidence: 99%

Section: Ds Representation Of Saddle Pointsmentioning

confidence: 99%

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Holographic tunneling wave function

Conti

Hertog

Woerd

2015

J. High Energ. Phys.

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“…See Table ( 1) for the first several terms of a n sequences. Hence, equation (21) presents the most probable cosmological solutions.…”

Section: Deformation Quantization Of Flrw Cosmologymentioning

confidence: 99%

“…Therefore, predicting classical cosmology is a constraint on the theory of the state [1]. In minisuperspace models of cosmology, the classical gravitational field equations are often non-linear and the quantization procedure is not unique.…”

Section: Introductionmentioning

confidence: 99%

The quantum state of the universe from deformation quantization and classical-quantum correlation

Rashki

Jalalzadeh

2017

Gen Relativ Gravit

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In this paper we study the quantum cosmology of homogeneous and isotropic cosmology, via the Weyl-WignerGroenewold-Moyal formalism of phase space quantization, with perfect fluid as a matter source. The corresponding quantum cosmology is described by the Moyal-Wheeler-DeWitt equation which has exact solutions in Moyal phase space, resulting in Wigner quasiprobability distribution functions peaking around the classical paths for large values of scale factor. We show that the Wigner functions of these models are peaked around the non-singular universes with quantum modified density parameter of radiation.

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Does the Universe Need God?

Carroll

2012

The Blackwell Companion to Science and Christianity

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To appear in The Blackwell Companion to Science and Christianity, ed. James B. Stump and Alan G. Padgett, forthcoming. "In the beginning, God created the heavens and the earth."In many religious traditions, one of the standard roles of the deity has been to create the universe. The first line of the Bible, Genesis 1:1, is a plain statement of this role. Much has happened, both in our scientific understanding of the universe and in the development of theology, since that line was first written. It's worth examining what those developments imply for the relationship between God and cosmology.In some ways of thinking about God, there's no relationship at all; a conception of divinity that is sufficiently ineffable and transcendent may be completely separate from the workings of the physical world. For the purposes of this essay, however, we will limit ourselves to versions of God that play some role in explaining the world we see. In addition to the role of creator, God may also be invoked as that which sustains the world and allows it to exist, or more practically as an explanation for some of the specific contingent properties of the universe we observe.Each of these possibilities necessarily leads to an engagement with science. Modern cosmology attempts to come up with the most powerful and economical possible understanding of the universe that is consistent with observational data. It's certainly conceivable that the methods of science could lead us to a self--contained picture of the universe that doesn't involve God in any way. If so, would we be correct to conclude that cosmology has undermined the reasons for believing in God, or at least a certain kind of reason?This is not an open--and--shut question. We are not faced with a matter of judging the merits of a mature and compelling scientific theory, since we don't yet have such a theory. Rather, we are trying to predict the future: will there ever be a time when a conventional scientific model provides a complete understanding of the origin of the universe? Or, alternatively, do we already know enough to conclude that God definitely helps us explain the universe we see, in ways that a non--theistic approach can never hope to match?Most modern cosmologists are convinced that conventional scientific progress will ultimately result in a self--contained understanding of the origin and evolution of the universe, without the need to invoke God or any other supernatural involvement. 1 This conviction necessarily falls short of a proof, but it is backed up by good reasons. While we don't have the final answers, I will attempt to explain the rationale behind the belief that science will ultimately understand the universe without involving God in any way. The Universe We KnowA century ago, we knew essentially none of what are now considered the basic facts of cosmology. This situation changed rapidly, first on the theoretical front in the 1910's, then on the observational front in the 1920's.Cosmology studies the universe on the largest scales, and over large scales ...

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Classical universes of the no-boundary quantum state

Cited by 172 publications

References 28 publications

Holographic tunneling wave function

Holographic tunneling wave function

The quantum state of the universe from deformation quantization and classical-quantum correlation

Does the Universe Need God?

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