Physics Paradigm Challenge

Your body stays healthy because your cells are basically locked in a permanent Mexican standoff where nobody wants to make the first move.

arXiv · March 16, 2026 · 2603.12713

Jiguang Yu, Louis Shuo Wang, Shihan Ban

Why it matters

Researchers proved that for an organ to remain stable, its different cell types must 'negotiate' their growth using the rules of game theory. This suggests that your body maintains its shape by reaching a perfect mathematical tie where no single group of cells can outcompete the others, effectively using high-stakes strategy to prevent disease and overgrowth.

From the abstract

Tissues must maintain macroscopic homeostasis despite the continuous microscopic accumulation of cellular damage. Theoretical models of this process often suffer from a disconnect between microscopic biophysics and macroscopic phenomenological games. Here, we bridge this gap by deriving an exact dimensionality reduction of a physiologically structured partial differential equation (PDE) into a low-dimensional dynamical system. Under the condition of uniform mortality, we mathematically demonstra