Effectively Emergent Quantum Mechanics

TL;DR

This paper proposes models where quantum mechanics effectively emerges in flat spacetime but diminishes in highly curved spacetime, challenging traditional views and potentially easing quantum gravity issues.

Contribution

It introduces the concept of Effectively Emergent Quantum Mechanics (EEQM) with models dependent on Ricci scalar and Gauss-Bonnet density, offering new perspectives on quantum mechanics and gravity.

Findings

Quantum mechanics can effectively emerge in flat spacetime.

EEQM models can be tuned to align with experimental data.

G-dependent EEQM may alleviate quantum gravity problems.

Abstract

We consider non minimal coupling between matters and gravity in modified theories of gravity. In contrary to the current common sense, we report that quantum mechanics can effectively emerge when the space-time geometry is sufficiently flat. In other words, quantum mechanics might play no role when and where the space-time geometry is highly curved. We study the first two simple models of Effectively Emergent Quantum Mechanics(EEQM): R-dependent EEQM and G-dependent EEQM where R is the Ricci scalar and G is the Gauss-Bonnet Lagrangian density. We discuss that these EEQM theories might be fine tuned to remain consistent with all the implemented experiments and performed observations. In particular, we observe that G-dependent EEQM softens the problem of quantum gravity.