Space & Time Are Quasicrystals, Physicists Claim

A new quantum-gravity proposal suggests that space and time might have the mathematical structure of a quasi crystal—a pattern that never exactly repeats—rather than the smooth continuum used in Einstein’s general relativity. If the idea holds up, it could do double duty: offer a candidate “stuff” for spacetime and help explain why the laws of physics look the way they do at macroscopic scales while still becoming compatible with quantum behavior at very short distances.

In standard physics, matter is built from molecules, atoms, and smaller constituents like quarks and gluons. By contrast, general relativity treats spacetime as a continuum: an infinitely fine differentiable manifold with no underlying material made of discrete parts. The trouble is that general relativity does not mesh cleanly with quantum theories describing particles. Many approaches to quantum gravity therefore assume spacetime has an underlying structure—sometimes framed as “spacetime atoms” or networks—so that quantum effects can emerge without destroying the successes of Einstein’s theory.

The new paper’s key move is to borrow from quasi-crystal physics. Quasi crystals are mathematically tied to Penrose tilings: they show order without periodic repetition. Unlike ordinary crystals, which repeat their pattern exactly, quasi crystals repeat only in an infinite variety of shifted arrangements. Real quasi crystals also exist in laboratories and were recognized with the 2011 Nobel Prize in Chemistry for their unusual electrical and thermal properties, giving the concept credibility beyond pure math.

The proposal addresses a major obstacle that kills simpler “crystal spacetime” ideas. If spacetime were like a regular lattice of atoms, then motion through it would produce detectable distortions. The transcript illustrates this with a square lattice: a moving observer would see length contraction, turning the lattice into a non-square shape. That would let one detect absolute motion—something Einstein’s relativity forbids. More seriously, when quantum particles move through a discretized spacetime, their behavior depends on how their paths align with the lattice directions, leading to observable consequences that experiments do not show. Regular-crystal discretizations therefore tend to produce a “nightmare” of mismatches with known physics.

Quasi crystals help because their non-repeating structure can avoid the clean directional artifacts of a periodic lattice. The authors also argue that quasi-crystal structure must be extended beyond space alone to include time as well, aiming for a theory that stays close to Einstein’s predictions at large distances while changing at short scales to become quantum-compatible. They further suggest the quasi-crystal pattern could effectively span more than three spatial dimensions, with extra “width” dimensions tied to how quantum particles experience the universe’s scale and relate to particle masses and gravity.

Still, the proposal remains early. It does not yet specify how quantum particles actually propagate through the quasi-crystal spacetime, leaving a crucial gap between the mathematical framework and testable dynamics. The overall assessment is that the approach is creative and potentially important, but far from a complete, useful theory of quantum gravity.