arXiv:math-ph/0602018math-ph
Algebraic and geometric structures of Special Relativity
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Abstract
I review, some of the algebraic and geometric structures that underlie the theory of Special Relativity. This includes a discussion of relativity as a symmetry principle, derivations of the Lorentz group, its composition law, its Lie algebra, comparison with the Galilei group, Einstein synchronization, the lattice of causally and chronologically complete regions in Minkowski space, rigid motion (the Noether-Herglotz theorem), and the geometry of rotating reference frames. Representation-theoretic aspects of the Lorentz group are not included. A series of appendices present some related mathematical material.
> obvious tension with relativity Quantum nonlocality is perfectly compatible with special relativity. The spacetime of the standard model of particle physics is exactly the flat spacetime of special relativity. Far from being ignored, the compatibility between special…
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