On the initial state of the Universe in quantum cosmology

Gorobey, Natalia; Lukyanenko, Alexander

doi:10.1016/j.spjpm.2015.04.003

Cited by 4 publications

(4 citation statements)

References 2 publications

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“…In this case, the pair of variables (the radius of the universe and the energy of the space) can exchange their roles (time and the observable). This result is consistent with the proposal to consider space energy density as a parameter of time in cosmology [12].…”

Section: Introductionsupporting

confidence: 92%

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Time and Observables in Covariant Quantum Theory

Gorobey,

Lukyanenko

2020

Preprint

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A modification of the covariant theory is proposed in which the self-energy of the system, corresponding to time-like degrees of freedom in the configuration space, preserves the classical law of change in quantum theory. As a result, proper time in covariant quantum theory takes on a dynamic meaning. As applications of the new formalism, a modification of the relativistic quantum mechanics of a scalar particle and a homogeneous model of the universe is considered.

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Section: Introductionsupporting

confidence: 92%

“…What follows is an exponential increase in the energy of space at the inflation stage. Starting from the indicated minimum value, the energy of the space P ε can be considered as a physical parameter of time [12].…”

Section: Modified Propagator For Friedman's Homogeneous Universementioning

confidence: 99%

Time and Observables in Covariant Quantum Theory

Gorobey,

Lukyanenko

2020

Preprint

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“…In addition, it seems that we may regard ρ d ( r, t)/d as the mass density distribution of Ψ u (t). This means that from the observed "dark matter" distribution ρ d ( r, t) and the numerical simulation of the evolution of the universal wave function, we have the chance to know the initial wave function of the universe, which plays a special role in the initial state [7] of inflation theory [8]. Of course, to give an accurate deduction of the initial condition at the inflation stage, we need to improve our theory to the relativistic version of quantum gravity, such as the possible application of the Wheeler-DeWitt equation [9].…”

Section: Applications To the Gravitational Effect Of Dark Mattermentioning

confidence: 99%

An Analytical Approach to the Universal Wave Function and Its Gravitational Effect

Xiong¹,

Xiong²

2021

Symmetry

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Based on quantum origin of the universe, in this article we find that the universal wave function can be far richer than the superposition of many classical worlds studied by Everett. By analyzing the more general universal wave function and its unitary evolutions, we find that on small scale we can obtain Newton’s law of universal gravity, while on the scale of galaxies we naturally derive gravitational effects corresponding to dark matter, without modifying any physical principles or hypothesizing the existence of new elementary particles. We find that an auxiliary function having formal symmetry is very useful to predict the evolution of the classical information in the universal wave function.

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“…For a more detailed analysis, we have performed the comparative evaluation of three eddy‐viscosity RANS turbulence models for the calculation of silicon melt convection. [ 12 ] The following models were used: k model of Wolfshtein, [ 13 ] k ‐ε model of Chien, [ 14 ] SST k ‐ω model of Menter. [ 15,16 ] Based on a comparison of the temperature distributions obtained within the RANS and ILES approaches it was shown that the models generally capture the heat transfer inside the melt.…”

Section: Introductionmentioning

confidence: 99%

Extended Hypothesis for Reynolds Stress Tensor and Turbulent Heat Flux Modeling Within a Novel K‐ε Model for Prediction of Crystal Growth from the Melt

Kalaev,

Borisov

2023

Cryst. Res. Technol.

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The major technique of manufacturing silicon monocrystals is Czochralski (Cz) method. To obtain high‐quality crystals, it is necessary to control the melt flow that is turbulent. The most cost‐effective approach for modeling turbulence nowadays is RANS (Reynolds Averaged Navier‐Stokes) that allows for providing steady axisymmetric computations using reasonable grids. However, conventional eddy‐viscosity RANS models usually fail to predict spatial details of turbulence characteristics of the melt flow. To overcome the limitations of the eddy‐viscosity approach the Stress Tensor Reconstruction (STR) approach is developed that is aimed at the reproduction of anisotropy of the Reynolds stresses. The Generalized Gradient Diffusion Hypothesis (GGDH) in combination with the STR approach successfully takes into account the anisotropy of turbulent fluxes in a melt flow. Relying upon the STR/GGDH approach a novel RANS STR k‐ε model is developed. The model is validated using the ILES (Implicit Large Eddy Simulation) data of turbulent melt convection during Cz Si crystal growth, as well, as the experimental data of oxygen concentration in 100 and 200 mm diameter Cz crystals. The results are compared to the results obtained with the conventional low Reynolds number Chien k‐ε model extended by the buoyancy generation term.

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On the initial state of the Universe in quantum cosmology

Cited by 4 publications

References 2 publications

Time and Observables in Covariant Quantum Theory

Time and Observables in Covariant Quantum Theory

An Analytical Approach to the Universal Wave Function and Its Gravitational Effect

Extended Hypothesis for Reynolds Stress Tensor and Turbulent Heat Flux Modeling Within a Novel K‐ε Model for Prediction of Crystal Growth from the Melt

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