dorsal/arxiv
View SchemaElementary Operations
| Authors | James Baugh, Andrei Galiautdinov, David Ritz Finkelstein, Mohsen Shiri-Garakani, Heinrich Saller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411213 |
| URL | https://arxiv.org/abs/quant-ph/0411213 |
Abstract
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.
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"abstract": "A Clifford algebra over the binary field 2 = {0,1} is a second-order\nclassical logic that is substantially richer than Boolean algebra. We use it as\na bridge to a Clifford algebraic quantum logic that is richer than the usual\nHilbert space quantum logic and admits iteration. This leads to a higher-order\nClifford-algebraic logic. We formulate a toy Dirac equation with this logic. It\nisexactly Lorentz-invariant, yet it approximates the usual Dirac equation as\nclosely as desired and all its variables have finite spectra. It is worth\nconsidering as a Lorentz-invariant improvement on lattice space-times.",
"arxiv_id": "quant-ph/0411213",
"authors": [
"James Baugh",
"Andrei Galiautdinov",
"David Ritz Finkelstein",
"Mohsen Shiri-Garakani",
"Heinrich Saller"
],
"categories": [
"quant-ph"
],
"title": "Elementary Operations",
"url": "https://arxiv.org/abs/quant-ph/0411213"
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