2003/11/25 by James Lindesay, Lindesay, James
Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Sensor Technology #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0311044
7 pages
arxiv created 2003/11/25 · openalex publication_date 2003/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In previous papers we extended the Lorentz and Poincare groups to include a set of Dirac boosts that give a direct correspondence with a set of generators which for spin 1/2 systems are proportional to the Dirac matrices. The groups are particularly useful for developing general linear wave equations beyond spin 1/2 systems. In this paper we develop explicit group properties of the extended Poincare group to obtain group parameters that will be useful for physical calculations in systems which manifest the group properties. The inclusion of space-time translations will allow future explorations of the gauge properties inherent in the group structure.