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
Abstract
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 vertex assembly we prove |15j|
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Quantum Mechanics and Applications
Quantum Computing Algorithms and Architecture
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 September 2026
- Document type
- Preprint