The chaotic movement of living tissue follows the exact same mathematical patterns as abstract random percolation models.
April 23, 2026
Original Paper
Spectral origin of conformal invariance in active nematic turbulence
arXiv · 2604.16473
The Takeaway
Living cells in a colony move in a way that seems completely unpredictable and independent. However, their flow patterns are governed by conformal invariance, a property found in critical states of matter like melting ice. This hidden universality means that biological systems are bound by the same structural constraints as non living physical systems. Understanding these deep laws could help us predict how cancer spreads or how embryos take shape with incredible accuracy.
From the abstract
Zero-vorticity contours in the collective flows of living cells obey Schramm-Loewner evolution with diffusivity $\kappa = 6$ and thus fall in the universality class of critical percolation. This observation is surprising because the underlying vorticity field has long-range correlations that, according to the Weinrib-Halperin criterion, should alter the universality class. Here we propose a spectral explanation for this apparent paradox in two-dimensional active nematic turbulence. The universal