Physics Cosmic Scale

Even if the universe is filled with violent ripples and 'jagged' gravity waves, it still follows the same size rules as a smooth one.

March 26, 2026

Original Paper

Comparison theory for Lipschitz spacetimes

Mathias Braun, Marta Sálamo Candal

arXiv · 2603.24195

The Takeaway

Einstein’s equations usually require space to be perfectly smooth, but real cosmic events like colliding black holes create 'kinks' and jumps in the fabric of reality. This research proves that even these rough, fractured versions of the universe are still bound by fundamental geometric laws that prevent them from expanding uncontrollably or behaving chaotically.

From the abstract

We prove a globally hyperbolic spacetime with locally Lipschitz continuous metric and timelike distributional Ricci curvature bounded from below obeys the timelike measure contraction property. The remarkable class of examples of spacetimes that are covered by this result includes impulsive gravity waves, thin shells, and matched spacetimes.As applications, we get new comparison theorems for Lipschitz spacetimes in sharp form: d'Alembert, timelike Brunn-Minkowski, and timelike Bishop-Gromov. Und