Quanta Magazine reports on geometric advances in quantum mechanics.

Physicists have discovered a jewel-like geometric object that dramatically simplifies calculations of particle interactions and challenges the notion that space and time are fundamental components of reality.

When trying to calculate particle interactions, all but trivial interactions result in a combinatorial explosion of Feynman diagrams, the solving of which is limited by the computer resources required to solve them. New geometry provides a simpler explanation for the interactions, an explanation whose calculations are an order of magnitude simpler. Following Galileo's suggestion, the simpler explanation is the better science, so geometry is closer to nature than the previous understanding.

As geometry explains physics, so it could help ontology. We need a geometry for the fouring in the mirror-play.

ἀγεωμέτρητος μηδεὶς εἰσίτω   ¶ 8:35 PM