Some remarks on a nongeometrical interpretation of gravity and the flatness problem

TL;DR

This paper explores a nongeometrical approach to gravity where the metric is an effective field in flat spacetime, offering a natural solution to the flatness problem and discussing its benefits and drawbacks.

Contribution

It introduces a nongeometrical interpretation of gravity with an effective metric, providing a novel perspective and a potential resolution to the flatness problem.

Findings

Resolves the flatness problem naturally

Highlights advantages of a nongeometrical gravity interpretation

Discusses limitations of the approach

Abstract

In a nongeometrical interpretation of gravity, the metric $g_{\mu\nu}(x)=\eta_{\mu\nu}+\Phi_{\mu\nu}(x)$ is interpreted as an {\em effective} metric, whereas $\Phi_{\mu\nu}(x)$ is interpreted as a fundamental gravitational field, propagated in spacetime which is actually flat. Some advantages and disadvantages of such an interpretation are discussed. The main advantage is a natural resolution of the flatness problem.