Loop quantum cosmology and the Wheeler-De Witt equation
Alfredo B. Henriques
TL;DR
This paper investigates the large volume limit of loop quantum cosmology, deriving the Wheeler-De Witt equation and exploring classical modifications to Friedman's and scalar field equations.
Contribution
It derives the Wheeler-De Witt equation from loop quantum cosmology and analyzes classical modifications to cosmological equations in the large volume limit.
Findings
Derived the Wheeler-De Witt equation in the large volume limit.
Identified modifications to Friedman's and scalar field equations.
Connected quantum cosmology results with classical cosmological dynamics.
Abstract
We present some results concerning the large volume limit of loop quantum cosmology in the flat homogeneous and isotropic case. We derive the Wheeler-De Witt equation in this limit. Looking for the action from which this equation can also be obtained, we then address the problem of the modifications to be brought to the Friedman's equation of motion and to the equation of motion of the scalar field, in the classical limit.
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