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The notion of standard positive probability distribution function (tomogram) which describes the quantum state of universe alternatively to wave function or to density matrix is introduced. Connection of the tomographic probability…

General Relativity and Quantum Cosmology · Physics 2009-11-10 V. I. Manko , G. Marmo , C. Stornaiolo

Using a D = 1 supergravity framework I construct a super-Friedmann equation for an isotropic and homogenous universe including dynamical scalar fields. In the context of quantum theory this becomes an equation for a wave-function of the…

General Relativity and Quantum Cosmology · Physics 2019-02-12 J. W. van Holten

The problem of measurement in quantum mechanics is that the quantum particle in the course of evolution, as described by the linear Schrodinger equation, exists in all of its possible states, but in measuring, the particle is always…

Quantum Physics · Physics 2013-11-04 Alexey V. Melkikh

Selection of physically meaningful solutions of the Wheeler-DeWitt equation for the wavefunction in quantum cosmology, can be attained by a reduction of the theory to the sector of true physical degrees of freedom and their canonical…

General Relativity and Quantum Cosmology · Physics 2014-05-06 A. O. Barvinsky , A. Yu. Kamenshchik

For pure fourth order (${\cal{L}} \propto R^2$) quantum cosmology the Wheeler-DeWitt equation is solved exactly for the closed homogeneous and isotropic model. It is shown that by imposing as boundary condition that $\Psi = 0$ at the origin…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Pimentel L O , Obregon O

We examine the particle production during tunneling in quantum cosmology. We consider a minisuperspace model with a massive, conformally coupled scalar field and a uniform radiation background. In this model, we construct a semiclassical…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Jooyoo Hong , Alexander Vilenkin , Serge Winitzki

The wave function for the quadratic gravity theory derived from the heterotic string effective action is deduced to first order in ${{e^{-\Phi}}\over {g_4^2}}$ by solving a perturbed second-order Wheeler-DeWitt equation, assuming that the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Simon Davis , Hugh Luckock

Quantum mechanics is derived from the principle that the universe contain as much variety as possible, in the sense of maximizing the distinctiveness of each subsystem. The quantum state of a microscopic system is defined to correspond to…

Quantum Physics · Physics 2016-03-23 Lee Smolin

The description of the universe evolving in time according to general relativity is given in comparison with the quantum description of the same universe in terms of semiclassical wave functions. The spacetime geometry is determined by the…

General Relativity and Quantum Cosmology · Physics 2015-12-09 V. E. Kuzmichev , V. V. Kuzmichev

We study the Wheeler-DeWitt (WDW) equation close to the Big-Bang. We argue that an interaction dominated fluid (speed of sound equal to the speed of light), if present, would dominate during such an early phase. Such a fluid with…

High Energy Physics - Theory · Physics 2020-01-08 Francesco Giacosa , Giuseppe Pagliara

A quantum mechanics representation based on position ($\vec{r}$), linear momentum($\vec{p}$) and energy($E$) eigenvalues is presented here. A set of equations, explicitly independent on wave function, was derived relating these observables.…

Quantum Physics · Physics 2019-03-22 Jeconias Rocha Guimarães

The evolution of the closed Friedmann Universe with a packet of short scalar waves is considered with the help of the Wheeler--DeWitt equation. The packet ensures conservation of homogeneity and isotropy of the metric on average. It is…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. Ts. Gurovich , H. -J. Schmidt , I. V. Tokareva

It is shown that `bipartite' wave functions can present a mathematical formalism of quantum theory for a single particle, in which the associated Schr\"{o}dinger's wave functions correspond to those `bipartite' wave functions of product…

Quantum Physics · Physics 2007-05-23 Zeqian Chen

We start from classical Hamiltonian constraint of general relativity to obtain the Einstein-Hamiltonian-Jacobi equation. We obtain a time parameter prescription demanding that geometry itself determines the time, not the matter field, such…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Biswas , A. Shaw , B. Modak , D. Biswas

In the frame of Wave Universe Concept (WU Concept) it is presented the alternative approach to the effective description of Elementar Objects of Matter (EOM) of micro and megaworld hierarchy, in particular, of particles in subatomic…

General Physics · Physics 2007-05-23 A. M. Chechelnitsky

The properties of the quantum universe on extremely small spacetime scales are studied in the semi-classical approach to the well-defined quantum model. It is shown that near the initial cosmological singularity point quantum gravity…

General Relativity and Quantum Cosmology · Physics 2010-04-30 V. E. Kuzmichev , V. V. Kuzmichev

We consider the ADM splitting of the Einstein-Hilbert action in five dimensions in the presence of matter that can be either a "point particle", or a set of scalar fields. The Hamiltonian, being a linear superposition of constraints, is…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Matej Pavšič

Quantum physics, which describes the strange behavior of light and matter at the smallest scales, is one of the most successful descriptions of reality, yet it is notoriously inaccessible. Here we provide an approachable explanation of…

A new, very different physical model of the universe is proposed. Its virtues include unifying relativity and quantum mechanics, and particles with de Broglie waves. It also appears to provide a truly unified physical basis for…

General Physics · Physics 2008-02-03 Ben Kristoffen

Individual quantum objects display inseparable coexisting wave-like properties and particle-like properties; such inseparable coexistence can seem paradoxical and mind-boggling. The apparent paradox is resolved by the unified theory of…

General Physics · Physics 2014-09-04 Greyson Gilson