Adam Snyder

The sum nobody bounded: an optimal 15j inequality, a directional decay law, and the one direction in which absolute majorants fail for the Lorentzian EPRL vertex

Every Lorentzian spinfoam amplitude computed numerically truncates the sum over virtual SU(2) spins l_f >= j_f at a shell depth Delta l; the convergence of that sum has not been proved. This paper bounds the sum by the direct absolute-value route and reports how far it reaches. (1) For the first-kind 15j symbol of the...