I think this misses the physics though. The math is just describing a phenomenon observed. The phenomenon implies a dimension of influence outside spacetime. This is a remarkable observation if true because no known force in known dimensions can easily account for this.
The math just demonstrates this to be likely true. Math is a tool physics uses to create logically consistent conclusions. And this one is remarkable.
> The question now is whether this new, more primitive geometric approach to particle physics will allow theoretical physicists to slip the confines of space and time altogether.
I don’t think phrases like this refer to anything actually outside of space & time.
Simply that the models can calculate results without any need to reference space & time.
Lots of relations do that, but discovering a new one, with very interesting properties and structure, in an area where scientists are grasping for more insight, is encouraging.
Some examples of well known relationships that hold over physical transformations regardless of topology or direction of time are conservation laws.
The math just demonstrates this to be likely true. Math is a tool physics uses to create logically consistent conclusions. And this one is remarkable.