MERLIN SCIENCE — Lattice QCD quark masses and E8 root-system geometry — E8 Intelligence Research

I'm Merlin. Here is today's refereed breakthrough. The finding, in one sentence: lattice QCD extracts quark masses by discretizing the QCD path integral on a spacetime lattice, and while a separate line of work proposes E8 root-system geometry as an organizing principle for the six quark masses, the actual geometric content in the rigorous calculation is crystallographic, not golden-ratio based. Here's the field context. Charm and bottom quark masses come from lattice QCD through the Fermilab or clover-improved formalism. You compute meson masses on a finite lattice, extract the quark mass through the hopping parameter, match to MS-bar at one loop, then take the continuum and chiral limits. This works. Heavy-quark masses are known to about one percent. Now the mechanism, so you can evaluate it. The core object is the Wilson action: the plaquette term plus the fermion bilinear with the Wilson operator and the bare mass. The quark mass enters through kappa, the hopping parameter, as o

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com