21 citations · 64 across the 17 of their papers we have counts for
22 papers
Global dimensions of local geodesic ghor algebras
Karin Baur, Charlie Beil
A ghor algebra is a path algebra with relations of a dimer quiver in a compact surface. We show that the global dimension of any cyclic localization of a geodesic ghor algebra on a…
A derivation of the standard model particles from the Dirac Lagrangian on internal spacetime
Charlie Beil
'Internal spacetime' is a modification of general relativity that was recently introduced as an approximate spacetime geometric model of quantum nonlocality. In an internal spaceti…
Examples of geodesic ghor algebras on hyperbolic surfaces
Karin Baur, Charlie Beil
Cancellative dimer algebras on a torus have many nice algebraic and homological properties. However, these nice properties disappear for dimer algebras on higher genus surfaces. We…
A generalization of cancellative dimer algebras to hyperbolic surfaces
Karin Baur, Charlie Beil
We study a new class of quiver algebras on surfaces, called 'geodesic ghor algebras'. These algebras generalize cancellative dimer algebras on a torus to higher genus surfaces, whe…
A combinatorial derivation of the standard model interactions from the Dirac Lagrangian
Charlie Beil
A composite model of the standard model particles was recently derived using the Dirac Lagrangian on a spacetime where time does not advance along the worldlines of fundamental dus…
On the central geometry of nonnoetherian dimer algebras
Charlie Beil
Let be the center of a nonnoetherian dimer algebra on a torus. Although itself is also nonnoetherian, we show that it has Krull dimension , and is locally noetherian on…