Original sentence: , Thomas Krajewski, Thomas Schucker, and Christoph A.-------- () "[ Noncommutative geometry and physics,]".A result is that parameters like the electron mass are now analogous to purely mathematical constants like pi.Alain Connes official website with downloadable papers.Alain Connes's Standard Model.Connes has thus devised a fully geometric formulation of the Standard Model, where all the parameters are geometric invariants of a noncommutative space.Jureit, Jan-H.Noncommutative geometry.Noncommutative geometry is still sufficiently similar to Riemannian geometry that Connes was able to rederive general relativity.Noncommutative quantum field theory.The weak force is mediated by the W and Z bosons; the strong force, by gluons
Edited sentence: Connes has thus provided a totally geometric formulation of the Standard Model where all the parameters are geometric invariants of a noncommutative space.Hence, parameters of the electron like mass are now analogous to purely mathematical constants like pi.Jureit, Thomas Krajewski, Thomas Schucker, and Christoph A.Still, noncommutative geometry is close enough to Riemannian geometry that Connes was able to rederive general relativity.The weak force has the W and Z bosons, and the strong force is mediated by gluon exchange