Nonminimal Scalar-Tensor Theories and Quantum Gravity

TL;DR

This paper introduces a two-scalar-field scalar-tensor theory that derives the quantum potential from first principles without prior assumptions, advancing the understanding of quantum effects in gravity.

Contribution

It develops a novel scalar-tensor framework with two scalar fields that naturally yields the quantum potential, unlike previous models with a single scalar field and assumed quantum potential form.

Findings

Successfully derives the quantum potential from equations of motion

Obtains the correct quantum potential form plus additional corrections

Provides a more fundamental approach to quantum effects in gravity

Abstract

Recentely, it is shown that the quantum effects of matter determine the conformal degree of freedom of the space-time metric. This was done in the framework of a scalar-tensor theory with one scalar field. A point with that theory is that the form of quantum potential is preassumed. Here we present a scalar-tensor theory with two scalar fields, and no assumption on the form of quantum potential. It is shown that using the equations of motion one gets the correct form of quantum potential plus some corrections.