A new 'twice loose shoe' method in the Wheeler–DeWitt equation of the universe wavefunction on the cosmic scale factor and a scalar field is suggested. We analyze both the affections coming from the tunnell...A new 'twice loose shoe' method in the Wheeler–DeWitt equation of the universe wavefunction on the cosmic scale factor and a scalar field is suggested. We analyze both the affections coming from the tunnelling effect of and the potential well effect of , and obtain the initial values and about a primary closed universe which is born with the largest probability in the quantum manner. Our result is able to overcome the 'large field difficulty' of the universe quantum creation probability with only tunnelling effect. This new born universe has to suffer a startup of inflation, and then comes into the usual slow rolling inflation. The universe with the largest probability maybe has a 'gentle' inflation or an eternal chaotic inflation, this depends on a new parameter which describes the tunnelling character.展开更多
The quantum cosmology with the scalar-spinor interaction of σ model is analyzed by means of Hartle and Hawking’s method. The Wheeler-DeWitt equation is obtained and the corresponding wave function of the universe so...The quantum cosmology with the scalar-spinor interaction of σ model is analyzed by means of Hartle and Hawking’s method. The Wheeler-DeWitt equation is obtained and the corresponding wave function of the universe solved. The obtained asymptotic solution of the wave function indicates that in the σ model the contribution of the spinor part is notable when the scalar factor α is very small, and the expression of the solution is related to the initial conditions. When the scalar factor α is great, the contribution of the spinor part is not significant and has the same conduct as the scalar part.展开更多
The Einstein＇s genera/relativity is formulated in the Hamiltonian form for a spatia/ly Bat, isotropic and homogeneous universe. Subsequently, we perform the canonical quantization procedure to the Hamiltonian to obta...The Einstein＇s genera/relativity is formulated in the Hamiltonian form for a spatia/ly Bat, isotropic and homogeneous universe. Subsequently, we perform the canonical quantization procedure to the Hamiltonian to obtain the Wheeler-DeWitt equation. Solving the Wheeler-DeWitt equation and employing the de Broglie-Bohm interpretation to the wave function of the universe, we obtain a new version of spatia/ly fiat Friedmann equation for the early universe where the scale factor of the universe is taken to be sufilcientlv small.展开更多
文摘A new 'twice loose shoe' method in the Wheeler–DeWitt equation of the universe wavefunction on the cosmic scale factor and a scalar field is suggested. We analyze both the affections coming from the tunnelling effect of and the potential well effect of , and obtain the initial values and about a primary closed universe which is born with the largest probability in the quantum manner. Our result is able to overcome the 'large field difficulty' of the universe quantum creation probability with only tunnelling effect. This new born universe has to suffer a startup of inflation, and then comes into the usual slow rolling inflation. The universe with the largest probability maybe has a 'gentle' inflation or an eternal chaotic inflation, this depends on a new parameter which describes the tunnelling character.
文摘The quantum cosmology with the scalar-spinor interaction of σ model is analyzed by means of Hartle and Hawking’s method. The Wheeler-DeWitt equation is obtained and the corresponding wave function of the universe solved. The obtained asymptotic solution of the wave function indicates that in the σ model the contribution of the spinor part is notable when the scalar factor α is very small, and the expression of the solution is related to the initial conditions. When the scalar factor α is great, the contribution of the spinor part is not significant and has the same conduct as the scalar part.
文摘The Einstein＇s genera/relativity is formulated in the Hamiltonian form for a spatia/ly Bat, isotropic and homogeneous universe. Subsequently, we perform the canonical quantization procedure to the Hamiltonian to obtain the Wheeler-DeWitt equation. Solving the Wheeler-DeWitt equation and employing the de Broglie-Bohm interpretation to the wave function of the universe, we obtain a new version of spatia/ly fiat Friedmann equation for the early universe where the scale factor of the universe is taken to be sufilcientlv small.
