Relevance of the weak equivalence principle and experiments to test it: lessons from the past and improvements expected in space
Anna M. Nobili, Alberto Anselmi

TL;DR
This paper reviews the history and current status of testing the Weak Equivalence Principle (WEP), highlighting recent space-based experiments like Microscope and Galileo Galilei that aim to significantly improve measurement precision and deepen our understanding of fundamental physics.
Contribution
It provides a comparative analysis of ground and space-based WEP tests, discusses recent experimental results, and outlines future improvements with space experiments like Microscope and Galileo Galilei.
Findings
Ground tests have reached a precision of 1e-13.
Space experiments like Microscope aim for 1e-15 precision.
Galileo Galilei aims for 1e-17 precision.
Abstract
Tests of the Weak Equivalence Principle (WEP) probe the foundations of physics. Ever since Galileo in the early 1600s, WEP tests have attracted some of the best experimentalists of any time. Progress has come in bursts, each stimulated by the introduction of a new technique: the torsion balance, signal modulation by Earth rotation, the rotating torsion balance. Tests for various materials in the field of the Earth and the Sun have found no violation to the level of about 1 part in 1e13. A different technique, Lunar Laser Ranging (LLR), has reached comparable precision. Today, both laboratory tests and LLR have reached a point when improving by a factor of 10 is extremely hard. The promise of another quantum leap in precision rests on experiments performed in low Earth orbit. The Microscope satellite, launched in April 2016 and currently taking data, aims to test WEP in the field of…
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