Physics Cosmic Scale

Physicists modeled how quantum matter behaves as the 'universe' it lives in is crushed into a point of infinite density.

March 31, 2026

Original Paper

Quantum Hall States response to toroidal geometry deformation

Bruno Mera, José M. Mourão, João P. Nunes, Carolina Paiva

arXiv · 2603.27319

The Takeaway

By simulating a quantum state on a doughnut-shaped surface and mathematically deforming it, researchers can see how particles respond to extreme spatial warping. This provides a theoretical window into how quantum mechanics functions inside the infinite curvature of a black hole.

From the abstract

In this paper, we apply techniques of geometric quantization to study the response of the integer and fractional quantum Hall effects to toroidal geometry deformation. The main method is that of using complex time Hamiltonian evolution to induce the geometry change and then the associated generalized coherent state transforms (gCST) to find the evolution of the Laughlin states. We consider two kinds of deformations. The first are flat toroidal deformations. Although Laughlin states for all flat