Abstract
In this study, we examine some physical aspects of unitary evolution of the Bianchi-I model. In particular, we investigate the behavior of the volume and the scale factor as a function of time for the Bianchi-I universe with ultra-relativistic fluid (α = 1). The expectation value of volume is shown not to hit any singularity. We elucidate on the anisotropic nature of the solution and physically interpret the wavefunction as a superposition of collapsing universe and expanding universe mimicking Hartle–Hawking type wavefunction. The same analysis has been done for as well. This study also suggests how to obtain the Vilenkin type wavefunction representing an expanding universe without it being superposed with a solution representing a collapsing universe. We also indicate a possible phase transition phenomenon for case with the existence of a critical parameter.
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