On the meaning of the wave function of the Universe

Abstract

The meaning of the wave function of the Universe was actively discussed in 1980s. In most works on quantum cosmology it is accepted that the wave function is a probability amplitude for the Universe to have some space geometry, or to be found in some point of the Wheeler superspace. It seems that the wave function gives maximally objective description compatible with quantum theory. However, the probability distribution does not depend on time and does not take into account the existing of our macroscopic evolving Universe. What we wish to know is how quantum processes in the Early Universe determined the state of the present Universe in which we are able to observe macroscopic consequences of these quantum processes. As an alternative to the Wheeler -DeWitt quantum geometrodynamics we consider the picture that can be obtained in the extended phase space approach to quantization of gravity. The wave function in this approach describes different states of the Universe which correspond to different stages of its evolution.

Is the Copenhagen Interpretation Inapplicable to Quantum Cosmology?

“…The structure of spacetime is determined by the lapse and shift functions which are gauge (non-physical) degrees of freedom and believed to be irrelevant in quantum gravity. By destruction of spacetime, I mean that this structure plays no role in the Wheeler-DeWitt approach (for discussion of the structure of spacetime and its role in the theory of gravity, see also [42]). The wave function of the Universe is declared to be gauge-invariant and not depending on the lapse and shift functions, which fix a reference frame.…”

We Begin with a “Trivial” Condition on Massive Gravitons, and Use That to Examine Nonsingular Starts to Inflation, for GW, with GW Strength and Possible Polarization States?

“…Why this is important? Note that in [3] we made reference to [28], which if d (dimension) is fractal, means that the temperature for the universe, so…”

“…From Gasiorowicz [14], for a wave function just outside the minimum scale factor, I would try using Equation (39) and Equation (49) to come up with a wavefunction at the surface of the space-time bubble which would have much the same information as given in Equation 27above. To do this though we will refer to a result by Shestakova [28], and [29], and then re interpret it via some physics from Stephen Gasiorowicz [14] and compare that directly with Equation (46), and Equation (47).…”

“…We begin with [28] and [29] by T. P. Shestakova where we have on its page 9, if we use order parameter p = 1, the following S.E. and also a solution, which is dependent upon a scale factor with λ *  a dimensional factor put in as a fudge factor 2 specialized specialized 1 2 specialized 2…”

“…If so then, we will be looking at, using Arfken, 4 th edition, page 667 [30] so that the solution to Equation (50), given by, [28] and [29] If so, and the answer is yes then we will then have to address what a minimum bubble of space-time ascertains as to future developments of space-time, and for this we will be looking at [14] for inspiration.…”