Dark Matter from Twisted Space ✎ express

Original: "Spacetime torsion fixes the mass and spin of gravitationally produced dark matter"
· Roh-Suan Tung
arXiv:2606.23418 · 2026-06-22 · arXiv non-exclusive · independent analysis · 2 min
The mass of dark matter particles may arise not from the Higgs boson but from the torsion of spacetime itself.

The early universe was a restless place. Space trembled with gravitational waves — ripples in the very fabric of reality. In this churning cauldron, dark matter is thought to have been born. But the newborn particles had no mass: it had to come from somewhere.

Usually, the Higgs field is responsible for mass. The authors of the work took a different path and turned to the Einstein–Cartan theory. In this theory, spacetime not only curves but also twists, like a rubber sheet that not only sags under weight but also screws into a spiral. This twisting (torsion) is created by the spin of matter — the intrinsic rotation of particles. In the early universe, filled with a spinor condensate, a kind of "foam" of particles with aligned spins, torsion becomes significant. It is this torsion that bestows mass on the emerging fermions.

Mass turns out to be tightly linked to the expansion rate of the universe: the faster it expanded at the moment of particle birth, the heavier the particles.

Such a mechanism leaves no freedom for parameter tuning. The abundance of dark matter (how much of it exists in the universe) is predicted unambiguously: it depends only on the expansion rate at that distant instant. Moreover, the theory permits only particles with spin 1/2 (fermions like the electron, but without charge). No more exotic options. Dark matter in this picture is not a mysterious sector with a host of new fields, but a simple consequence of geometry.

The torsion of space acts as a universal "provider": it gives mass to any particle born from gravitational waves, without the need for the Higgs mechanism.

Thus, the birth of dark matter ceases to be a story with an unknown ending. Everything is decided by the dance of spacetime: its trembling generates particles, and its internal torsion makes them massive. Perhaps the key to the invisible substance of the cosmos is hidden not in new particles, but in how the vacuum itself bends and twists.

The torsion of spacetime in the Einstein–Cartan theory manifests only at microscopic scales or at enormous spin densities — for example, in the early universe or inside black holes. In everyday life, we do not notice it, just as we do not notice the curvature of the Earth when standing on a flat field.

In Carl Sagan's novel "Contact," aliens use wormholes, which in some theories require spacetime torsion for stability.

Scientists
Bernhard RiemannJoseph WeberKarl SchwarzschildKip ThorneRainer WeissAlbert Einstein
Concepts
dark matter fermionic dark matter classical gravity gravitational theory gravitational field teleparallel gravity spacetime curvature singularity Accretion disk coherence time Klein-Gordon equation fermion cosmic structure formation black hole singularity galaxy formation cosmic string de sitter space supersymmetry einstein galaxy rotation