Emergent universality of free fall from quantum mechanics

TL;DR

This paper demonstrates that the universality of free fall (UFF) emerges from quantum mechanics through coarse-graining, showing how classical behavior arises with quantum corrections affecting the Eötvös parameter.

Contribution

It provides a theoretical framework showing UFF as an emergent phenomenon from quantum mechanics via coarse-grained distributions and estimates quantum corrections to classical free fall.

Findings

UFF emerges from quantum mechanics through coarse-graining.

Quantum corrections to free fall are quantified.

Implications for the classical-quantum transition in gravity.

Abstract

Classical and quantum mechanical descriptions of motion are fundamentally different. The universality of free fall (UFF) is a distinguishing feature of the classical motion (which has been verified with astonishing precision), while quantum theory tell us only about probabilities and uncertainties thus breaking the UFF. There are strong reasons to believe that the classical description must emerge, under plausible hypothesis, from quantum mechanics. In this Essay we show that the UFF is an emergent phenomenon: the coarse-grained quantum distribution for high energy levels leads to the classical distribution as the lowest order plus quantum corrections. We estimate the size of these corrections on the E\"otv\"os parameter and discuss the physical implications.