Published December 2010
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Periodic lattices in Minkowski space
Abstract
We describe a set of periodic lattices in (1+1)-dimensional Minkowski space, where each lattice has an associated symmetry group consisting of inhomogeneous Lorentz transformations that map the lattice onto itself. Our results show how ideas of crystal structure in Euclidean space generalize to Minkowski space and provide an example that illustrates basic concepts of spacetime symmetry.
Additional Information
© 2010 American Association of Physics Teachers. Received 29 March 2010; accepted 26 July 2010. The author would like to thank an anonymous reviewer for calling his attention to Ref. 3 and for making a number of helpful suggestions, including the treatment for the general solution presented in Sec. IV and the physical interpretation of spacetime lattices in terms of flashing lights.Attached Files
Published - Boozer2010p12202Am_J_Phys.pdf
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Boozer2010p12202Am_J_Phys.pdf
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Identifiers
- Eprint ID
- 21357
- Resolver ID
- CaltechAUTHORS:20101214-130710298
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2010-12-15Created from EPrint's datestamp field
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2021-11-09Created from EPrint's last_modified field