Quantum Mechanical Probability Interpretation In The Mini-superspace Model Of Higher Order Gravity Theory

TL;DR

This paper demonstrates that higher order curvature terms in a quantum cosmology model allow for a Schrödinger-like equation with a Hermitian effective action, enabling a clear quantum probability interpretation.

Contribution

It shows that including higher order curvature invariants yields a Hermitian effective action and a straightforward probability interpretation in quantum cosmology.

Findings

Derivation of Schrödinger-like equation in higher order gravity models

Effective action is Hermitian, ensuring real eigenvalues

Probability interpretation is consistent with quantum mechanics

Abstract

It has been shown that inclusion of higher order curvature invariant terms in the Robertson-Walker minisuperspace model of the Einstein-Hilbert action leads to Schrodinger like equation, whose corresponding effective action is hermitian. Thus, it is possible to write the continuity equation in a straight forward manner, which reveals a quantum mechanical probability interpretation of the theory.