Abstract
Dark energy is investigated from the perspective of quantum cosmology. It is found that, together with an appropriate normal ordering factor $q$, only when there is dark energy then can the cosmological wave function be normalized. This interesting observation may require further attention.
Highlights
On the other hand, as an application of quantum physics to the dynamical systems describing closed universes, quantum cosmology is tightly related to quantum gravity
Having noticed the common connection between dark energy, quantum cosmology, and quantum gravity, a natural and interesting question to ask is whether there is a relation between dark energy and quantum cosmology
After some tedious but straightforward calculations, one can find that the second term of the wave function (4) will always render the inner product P = 0 aq | |2da divergent unless the normal ordering ambiguity factor q is in the domain of (−1, 3)
Summary
As an application of quantum physics to the dynamical systems describing closed universes, quantum cosmology is tightly related to quantum gravity. We define the inner product of the wave function as In the region a l , the energy induced by spatial curvature dominates the universe, the term a4 l2 in
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