Things like the beginning of time? This open access paper doesn’t fill us with confidence but the basic idea is fun:

One of the major issues in general relativity that separates it from other descriptions of the universe, like quantum physics, is the existence of singularities . Singularities are points that when mathematically described give an infinite value and suggest areas of the universe where the laws of physics would cease to exist — i.e. points at the beginning of the universe and at the center of black holes…

The authors used the tools of QFT to construct a mathematical object that can signal the presence of singularities in experimentally measurable quantities. This object, which they have named the “functional winding number” is non-zero in the presence of singularities and vanishes in their absence.

This approach has revealed that certain singularities predicted theoretically do not affect quantities that can in principle be measured experimentally, and therefore remain harmless mathematical constructs.

“If our formalism survived scientific scrutiny and turned out to be the correct approach, it would suggest the existence of a very deep physical principle, so the choices of physical variables are rather unimportant,” Casadio concludes. “This could be consequential for our understanding of physics, even beyond the subject of singularities.”

SciencePOD, “A quantum approach to a singularity problem” atPhys.org(December 10, 2021)

So, from their perspective, science can address singularities by invoking “a very deep physical principle.” Like God?

Certainly not randomness.