Why Quantum States Fall Apart Even in Tiny Particles

Original: "Gravitational decoherence of a composite particle: the interplay between gravitons and a classical Newtonian potential"
arXiv:2602.22517 · 2026-02-26 · CC BY 4.0 · 2 min
A particle's internal jitter amplifies gravitational noise, and quantum blurriness vanishes within a day even for a molecule.

Gravity can't be hidden. Unlike electricity, which can be shielded with a metal mesh, gravity passes through any barrier. And it's never perfectly smooth: it always contains the tiniest fluctuations, gravitons, that jiggle any particle, like waves rocking a boat. Scientists used to think that for a quantum superposition, when a particle is in two places at once, this rocking is dangerous only for very heavy objects. For example, a dust grain weighing 22 micrograms. It seemed that molecules and atoms had nothing to fear from gravitational noise.

But every boat has a hold. A particle isn't a point: it has internal structure. In a molecule, atoms vibrate, electrons hop from place to place. These internal motions, like an unsecured load in the hold, respond to every fluctuation of the gravitational field. And here's what turned up: on a long voyage, the swaying of the cargo starts to dominate over the rocking of the whole hull. For a quantum superposition, that means death. The internal jitter turns gravitational noise into an inexorable process that destroys the quantum state even in a tiny molecule.

Take a molecule with a mass of $10^{-22}$ kg, a temperature of 10 000 kelvins, and a superposition size of one nanometer. Its decoherence time is about 100 000 seconds, or a little more than a day. During that time, the quantum "blurriness" of the molecule's position disappears, and it starts behaving like an ordinary classical object.

The classical attraction of the Earth, which acts like an anchor, slows this process a bit. But the anchor doesn't save you: in the long run, noise still wins. For particles without internal jitter, the anchor could even formally reverse the process, but that would take a time comparable to the age of the Universe. In practice, this means that quantum fragility doesn't survive in the gravitational ocean. For now, this knowledge offers no immediate applications: the effect is too weak for modern instruments. But the calculation sharpens the boundaries of quantum mechanics in the presence of gravity. A boat with cargo in its hold will sooner or later capsize, no matter how small it is.

For relic gravitons, which are assumed to be in a strongly squeezed state with a squeezing parameter on the order of 100, the decoherence time can decrease by a factor of $10^{29}$ compared to the vacuum state.

In Greg Egan's novel Quarantine, quantum superpositions and their collapse under the action of an observer play a central role. The idea that the gravitational environment can irreversibly destroy quantum coherence echoes this plot.

Scientists
David DeutschErwin SchrödingerJohn Stewart BellLouis de BroglieLov GroverPaul Benioff
Concepts
gravitational decoherence quantum decoherence gravitational potential quantum gravity graviton newtonian gravity newtons laws Law of Universal Gravitation newtonian limit backreaction equivalence principle three body problem general relativity bubble collision self interaction spacetime dilaton Penrose singularity theorem spacetime emergence entropic shadow supergravity