Elementary Operations

(2) Heisenberg Institute; Andrei Galiautdinov (1); David Ritz Finkelstein (1); Heinrich Saller (2) ((1) Georgia Institute of Technology; James Baugh (1); Max Planck Institute of Theoretical Physics; Mohsen Shiri-Garakani (1); Munich)

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arxiv quant-ph/0411213 v1 pith:5MQ4UBJU submitted 2004-11-30 quant-ph

Elementary Operations

James Baugh (1) , Andrei Galiautdinov (1) , David Ritz Finkelstein (1) , Mohsen Shiri-Garakani (1) , Heinrich Saller (2) ((1) Georgia Institute of Technology , (2) Heisenberg Institute , Max Planck Institute of Theoretical Physics , Munich) This is my paper

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keywords logicalgebraclifforddiracequationlorentz-invariantquantumricher

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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.

Elementary Operations

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