Special relativity with Clifford algebras and 2×2 matrices, and the exact product of two boosts

DOI10.1063/1.528135zbMath0709.17501OpenAlexW2029014648MaRDI QIDQ3491786

George Jones, William E. Baylis

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528135

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Differential geometry (53-XX) Relativity and gravitational theory (83-XX)

Related Items (7)

The Lorentz operator revisited ⋮ Hamilton's turns for the Lorentz group ⋮ Common tangent space \({\mathbb{R}}^ 4_ 1\) from U(2) charges ⋮ Weakly associative groups ⋮ The Pauli-algebra approach to special relativity ⋮ The relativistic noncommutative nonassociative group of velocities and the Thomas rotation ⋮ Exact product of \(n\) boosts

Cites Work

• Physical algebras in four dimensions. I: The Clifford algebra in Minkowski spacetime
• Relativistic motion of a charged particle, the Lorentz group, and the Thomas precession
• On the Restricted Lorentz Group and Groups Homomorphically Related to It

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