The Digital Press

Mathematicians in Vienna are developing new geometric tools that extend Einstein’s general relativity to non-smooth, more realistic models of space-time. Their work aims to overcome limitations where traditional calculus-based methods fail, such as at black hole singularities or discrete space-time structures.

Why it matters: This new geometry could unify general relativity with quantum gravity theories by handling non-smooth, discrete space-time scenarios.

The big picture: By removing smoothness assumptions, the research strengthens foundational singularity theorems and broadens our understanding of the universe’s structure.

Stunning stat: The team received a €7 million grant to continue expanding these mathematical frameworks, reflecting strong institutional support.

Commenters say: Many find the use of optimal transport especially exciting and lament its underappreciation in mathematics, while appreciating the potential impact on fundamental physics.