1992/03/30 by J R Zeni, Waldyr A. Rodrigues · 3 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Mathematics and Applications #Relativity and Gravitational Theory #Lorentz transformation #Interpretation (philosophy) #Physics #Clifford algebra #Theory of relativity #Theoretical physics #Bispinor #Pauli exclusion principle #Velocity-addition formula #Special relativity #Mathematical physics #Lie algebra #Test theories of special relativity #Algebra over a field #Pure mathematics #Lorentz covariance #Quantum mechanics #Mathematics #Four-force #CPT symmetry #Philosophy
paper · doi:10.1142/s0217751x92000776
openalex publication_date 1992/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22
We give a thoughtful presentation of proper orthocronous Lorentz transformations using the space-time (ℝ 1,3 ) and the Pauli (ℝ 3,0 ) algebras. We present in a closed finite form, a generic [Formula: see text] written as the exponential of elements of the associated Lie Algebra, together with a physical interpretation of the parameters. We call the result obtained the master equation and it is used to study several important topics of Special Relativity, e.g. exact product of two boosts and the Thomas precession. We also derive other results necessary for a dynamic interpretation of Lorentz transformations.