Wheeler-DeWitt equation rejects quantum effects of grown-up universes as a candidate for dark energy

He, Dongshan; Cai, Qing-yu

doi:10.1016/j.physletb.2020.135747

Cited by 5 publications

(9 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where m P , E P , and P are the Planck mass, energy and length, respectively (for comparison see for instance [51]). This expression represents a Schrödinger-type equation of a particle with the Planck mass m P under the action of the WdW quantum potential…”

Section: Topological Quantizationmentioning

confidence: 99%

“…-∂ 2 ∂u 2 + V WdWHL (u) Ψ(u) = 0 , (8.18) with V WdWHL (u) = 2V [ac]WdW (u) + V HL (u) , (8.19) where V HL (u) represents an adaptation of the Hořava-Lifshitz gravity potential (for comparison see [51,53,54])…”

Section: Solutionsmentioning

confidence: 99%

“…Assuming as a starting point a homogeneous and isotropic multiverse described by a mini-superspace model (see for instance [49]) with one parameter, the scale factor ln -1 (β(t)), and a very simple scenario for the Einstein-Hilbert action (for comparison see [51])…”

Section: Einstein-hilbert Action In the New Metricmentioning

confidence: 99%

“…In the following we consider the analytic continued WdW equation considering an adaptation of the mini-superspace model for the projectable Hořava-Lifshitz gravity 14 For simplicity in the following we use natural units (for comparison see for instance [51,53,54]:…”

Section: Analytic Continued Wdw Equation With Extrinsic Curvaturementioning

confidence: 99%

“…where V HL (u) represents an adaptation of the Hořava-Lifshitz gravity potential (for comparison see [51,53,54])…”

Section: Analytic Continued Wdw Equation With Extrinsic Curvaturementioning

confidence: 99%

See 4 more Smart Citations

Pushing the limits of General Relativity beyond the Big Bang singularity

et al. 2019

View full text Add to dashboard Cite

The predictions of General Relativity suggest a universe in which, as we follow time backward, the hotter and the more dense it was, and the more rapidly it was expanding and that, around 13.7 billion years ago, at the extreme gravitational regime of its evolutionary process, the density, temperature, and expansion rate of the universe would start off as infinite. The General Relativity prediction of a singularity in the early universe would impose a limitation to our understanding of the cosmos and gravity, implying loss of logic and of formal consistency and predictability, making it impossible to impose initial conditions. These extreme conditions of the initial state of the universe are very far from our experimental possibilities, and presently, theoretical models allow only speculations about the avoidance of physical singularities or about the physical conditions that circumvented this drastic consequence of General Relativity. Speculations aside, in this study, we follow an analytical line in which we apply the tools of singular semi-Riemannian geometry to push the limits of General Relativity beyond the Big Bang singularity.

show abstract

Section: Topological Quantizationmentioning

confidence: 99%

Section: Solutionsmentioning

confidence: 99%

Section: Einstein-hilbert Action In the New Metricmentioning

confidence: 99%

Section: Analytic Continued Wdw Equation With Extrinsic Curvaturementioning

confidence: 99%

“…where V HL (u) represents an adaptation of the Hořava-Lifshitz gravity potential (for comparison see [51,53,54])…”

Section: Analytic Continued Wdw Equation With Extrinsic Curvaturementioning

confidence: 99%

See 3 more Smart Citations

Pushing the limits of General Relativity beyond the Big Bang singularity

et al. 2019

View full text Add to dashboard Cite

show abstract

Pushing the limits of time beyond the Big Bang singularity: Scenarios for the branch cut universe

et al. 2021

View full text Add to dashboard Cite

In this contribution, we identify two scenarios for the evolutionary branch cut universe. In the first scenario, the universe evolves continuously from the negative complex cosmological time sector, prior to a primordial singularity, to the positive one, circumventing continuously a branch cut, and no primordial singularity occurs in the imaginary sector, only branch points. In the second scenario, the branch cut and branch point disappear after the realization of the imaginary component of the complex time by means of a Wick rotation, which is replaced by the thermal time. In the second scenario, the universe has its origin in the Big Bang, but the model contemplates simultaneously a mirrored parallel evolutionary universe going backwards in the cosmological thermal time negative sector.A quantum formulation based on the Wheeler-DeWitt equation is sketched and preliminary conclusions are drawn.

show abstract