Elementary Operations
摘要
A Clifford algebra over the binary field 2 = {0,1} is a second-order classical logic that is substantially richer than Boolean algebra. We use it as a bridge to a Clifford algebraic quantum logic that is richer than the usual Hilbert space quantum logic and admits iteration. This leads to a higher-order Clifford-algebraic logic. We formulate a toy Dirac equation with this logic. It isexactly Lorentz-invariant, yet it approximates the usual Dirac equation as closely as desired and all its variables have finite spectra. It is worth considering as a Lorentz-invariant improvement on lattice space-times.
引用
@article{arxiv.quant-ph/0411213,
title = {Elementary Operations},
author = {James Baugh and Andrei Galiautdinov and David Ritz Finkelstein and Mohsen Shiri-Garakani and Heinrich Saller},
journal= {arXiv preprint arXiv:quant-ph/0411213},
year = {2007}
}
备注
Based on a talk given at the 5th International Quantum Structure Association Conference, Cesena, Italy, 2001.To be published in the International Journal of Theoretical Physics