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The experiments were carried out using this particle accelerator at the PSI in Villigen. Credit: (Markus Fischer / Paul Scherrer Institute) Copyright: ETH Zurich

Einstein’s Gravity Rule Faces Its Toughest Test Yet, Thanks to a Super-Chilled Atom Beam

In A Nutshell

  • Muonium, an atom made of an electron and an anti-muon, decays in millionths of a second, which has kept scientists from ever testing whether gravity treats it like ordinary matter.
  • Physicists at Switzerland’s Paul Scherrer Institute built a new muonium beam by capturing anti-muons in a superfluid helium layer chilled to nearly absolute zero.
  • The resulting beam is far narrower in speed than any earlier attempt, with about 8 percent of stopped anti-muons converting into usable muonium atoms.
  • The team projects the beam could measure muonium’s gravitational acceleration to about one percent precision within roughly 100 days of data collection.

A hammer and a feather fall at the same rate in a vacuum, because gravity treats all matter equally. That rule sits at the core of Einstein’s theory of gravity, and scientists have checked it against atoms, neutrons and even antimatter. One strange particle pairing has always slipped through their fingers though, because it barely exists long enough to measure anything.

That particle is muonium, an atom built from an electron and a positively charged anti-muon instead of a normal proton. It survives for only about two millionths of a second before falling apart, and that impossibly short window has kept scientists from ever aiming a clean, steady beam of it at a detector to watch how it behaves under gravity.

A team of physicists reports in the journal Nature Physics that it has solved that problem. By stopping a stream of anti-muons in a two-millimeter layer of liquid helium chilled to nearly absolute zero, researchers created what they call a superthermal muonium beam, one that is unusually strong and unusually orderly, with atoms clustered tightly around a single speed of about 2,180 meters per second. That combination has never existed for muonium before, opening a real path toward finally putting Einstein’s rule to the test with this strange atom.

Muonium’s Fleeting Lifetime Blocked Every Gravity Test

Every previous gravity test, using everyday atoms, neutrons or antihydrogen, relied on particles built from the same basic ingredients as ordinary protons and neutrons. Muonium is different. Its mass comes almost entirely from the muon, a heavier cousin of the electron, so testing gravity with muonium tests Einstein’s rule on a kind of mass nobody has tried before.

Practical trouble stood in the way. A muon lasts only about 2.2 millionths of a second, and older methods of making muonium beams used porous materials like foamy glass or silica powder, which sent atoms flying off in all directions at all sorts of speeds, too scattered to focus for a gravity experiment. Cooling those sources down only made things worse: fewer atoms escaped at all, with almost none getting out below a certain very cold temperature.

particle beam
Professor Anna Soter and doctoral student Paul Wegmann are assembling cryogenic silicon detectors for the experiment. Credit: Robert Waddy / ETH Zurich. Copyright: ETH Zurich

A Super-Chilled Helium Trap Tames the Atom

Researchers at the Paul Scherrer Institute in Switzerland tried something different. Instead of a solid porous material, they used liquid helium in its superfluid state, a form the element takes only at extremely cold temperatures, where it flows without any friction. A beam of anti-muons was aimed into a thin layer of this superfluid helium, about two millimeters deep, chilled to roughly two-tenths of a degree above absolute zero.

As the anti-muons slowed to a stop, each one snagged a stray electron left behind in the trail of atoms it had ionized, forming a muonium atom. Superfluid helium strongly repels many impurities, and the researchers expected that if muonium atoms could reach the surface quickly enough, they would be ejected into the vacuum above it. Exactly how the atoms travel through the helium on their way up is still not fully understood.

To catch the atoms leaving the liquid, the team placed rows of particle detectors at different heights on either side of the chamber. Muonium atoms decay and shoot out telltale particles as they do, so watching where and when those decay signals showed up let researchers track the atoms rising through the vacuum, much like watching ripples move outward from a splash.

Detector Readings Confirm a Narrow Beam

Data matched what a narrow, superthermal beam would look like, rather than a spread-out thermal cloud. The atoms came out moving at an average speed of a little over 2 kilometers per second, with a narrow range of speeds around that average, tighter than what earlier, colder sources had achieved. Researchers tested the data against two computer models, one for a hot, scattered gas and one for a narrow, organized beam. The organized-beam model fit far better.

About 8 percent of the anti-muons that stopped in the helium ended up escaping as muonium atoms into the vacuum, a yield comparable to the best existing room-temperature sources but achieved with a beam far narrower in speed than any before it. That narrowness matters, since a beam that spreads out too much is nearly useless for delicate measurements like tracking gravity’s pull or aiming a precise laser at the atoms.

Based on these numbers, the team projects the beam could pin down muonium’s gravitational acceleration to about one percent precision using around 100 days of data at PSI. The same tightly bunched beam could also let scientists probe the atom’s structure with a laser far more precisely than before, sharpening measurements of the muon’s mass, a number used to test the broader rules governing how charged particles interact.

A Direct Gravity Test Is Finally Within Reach

Nothing here has actually measured how muonium falls yet. What this work shows is that one of the biggest missing pieces for that measurement, a bright, narrow muonium beam, now exists. Building it from an inert, super-chilled puddle of helium is a genuinely new approach that puts a direct gravity test on this unusual atom within reach. Whether muonium falls exactly the way ordinary matter does, or reveals a tiny crack in Einstein’s rule, is a question physicists may finally be positioned to answer.


Paper Notes

Limitations

The researchers note that several parts of the process, especially exactly how muonium atoms move and diffuse through superfluid helium before escaping, are not yet understood from first principles. Their analysis relied on simplified models, including an assumption that the atoms travel in a fast, mostly unobstructed manner through the liquid, rather than a fully worked-out theoretical description of that motion. Measured values also carried statistical and systematic uncertainties tied to things like the exact depth at which muons stopped in the helium, detector resolution, and small drifts in the target’s temperature during the run. Importantly, this study demonstrates the beam source itself; it does not yet report an actual measurement of muonium’s gravitational acceleration or a completed laser spectroscopy result. Turning this beam into a working gravity or spectroscopy experiment will require further engineering, including redirecting the beam horizontally, which the team says is an ongoing effort.

Funding and Disclosures

The work was funded by SNSF Ambizione grant number PZ00P2 185975, the SNSF Project Fund No. 200441, and NCCR Muoniverse, a National Centre of Competence in Research of the SNSF (grant number 51NF-0_229254). Open access funding was provided by the Swiss Federal Institute of Technology Zurich (ETH Zürich). The authors state they have no competing interests.

Publication Details

The study, titled “Generation of a high-intensity, superthermal muonium beam for gravity and laser spectroscopy experiments,” was authored by J. Zhang, A. Antognini, M. Bartkowiak, D. Goeldi, K. Kirch, A. Knecht, D. Taqqu, R. Waddy, F. Wauters, P. Wegmann, and A. Soter. The authors are affiliated with the Institute for Particle Physics and Astrophysics at ETH Zürich, the PSI Center for Neutron and Muon Sciences in Villigen, Switzerland, and the Institute for Nuclear Physics at Johannes Gutenberg-University Mainz in Germany. It was published in Nature Physics, received on 21 January 2026, accepted on 3 August 2026, and published online on 14 September 2026. The paper’s DOI is https://doi.org/10.1038/s41567-026-03433-x. Corresponding author: A. Soter ([email protected]).

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