Dark Matter as a Drop of Quantum Liquid express

Original: "Self-gravitating quantum stars with a globally relevant Bohm potential"
· Ilidio Lopes
arXiv:2606.01103 · 2026-05-31 · CC BY 4.0 · 2 min
Invisible dark matter particles may behave like a liquid surface, creating ghost stars the size of the Solar System.

A lump of dark matter drifts through the void — invisible, almost intangible. No one knows what it's made of, but a new study suggests viewing it as a drop of quantum liquid. Two kinds of fermion particles — call them "heavy" (ψ) and "light" (χ)—exchange signals via a third mediator particle (φ), like floats tied to a single line.

Inside such a clump, quantum mechanics paints an unexpected picture. Usually, in large aggregates, quantum effects are neglected, but here they are precisely what shape the object. Heavy particles create an expanding wall of quantum pressure, like a stretched rubber membrane that prevents the clump from collapsing. Light particles, in contrast, pull it inward, akin to the surface tension of water. And the pressure of a degenerate gas (when particles are cramped and resist compression) holds the whole structure together.

This behavior resembles a drop of nuclear liquid in the old model of the atomic nucleus: there too you have volume energy and surface tension, only here, instead of protons and neutrons, we have unknown particles from the dark sector.

From this mechanics emerges a strict rule: knowing the total mass of the clump and the mass of the particle itself, one can compute its radius. For particles with masses on the order of 10⁻¹⁴–10⁻⁶ eV (billions of times lighter than the electron), the resulting objects range from a few kilometers to a thousand solar radii — true ghost stars the size of Jupiter's orbit. When such lumps collide, they generate gravitational waves that future detectors like the Einstein Telescope or the LISA space antenna could pick up. They might also be revealed by microlensing — when the gravity of an invisible object bends the light of a distant star like a curved lens.

The most intriguing part: if dark particles turn out to be slightly lighter than a certain threshold, stable clumps won't form at all: they would expand indefinitely. This resembles the Chandrasekhar limit for white dwarfs, but for the dark world.

Thus dark matter ceases to be just "something that holds galaxies together" and gains its own inner life — with surfaces, tensions, and even ripples in the fabric of spacetime.

If a dark clump with the mass of the Sun consists of ultralight particles, its radius could reach 150 million kilometers: that's the distance from Earth to the Sun.

In Liu Cixin's novel "The Dark Forest," invisible clumps of matter are used as weapons — perhaps they are structured exactly this way.

M R_T \simeq 9.95 \frac{\lambda_B \hbar^2}{G m_1^2}
The product of the clump's mass and its characteristic radius is inversely proportional to the square of the particle mass: the lighter the particle, the larger the object. Here λ_B is the quantum coefficient (1/9), ℏ is Planck's constant, and G is the gravitational constant.
Scientists
Fritz ZwickyVera RubinHenri PoincaréJoseph WeberStephen HawkingRainer Weiss
Concepts
fermionic dark matter boson star fermion supersymmetry Birkhoff's theorem higgs mechanism anyon neutron star mass limit boson gaussian states majorana fermions Witten's positive energy theorem schwarzschild metric star